Cited by 772Quantum Information and CryptographyQuantum Computing Algorithms and ArchitectureQuantum optics and atomic interactions

The DOI matches its Crossref record; 680 of the 690 references it cites were found in a registry or an index, and 5 are not checked yet; 91 of the 275 sources its claims cite were checked for support.

Photonic quantum information processing: a review

Open access
Flamini, Fulvio, Spagnolo, Nicolò, Sciarrino, Fabio·2019·Reports on Progress in Physics

Abstract

Photonic quantum technologies represent a promising platform for several applications, ranging from long-distance communications to the simulation of complex phenomena. Indeed, the advantages offered by single photons do make them the candidate of choice for carrying quantum information in a broad variety of areas with a versatile approach. Furthermore, recent technological advances are now enabling first concrete applications of photonic quantum information processing. The goal of this manuscript is to provide the reader with a comprehensive review of the state of the art in this active field, with a due balance between theoretical, experimental and technological results. When more convenient, we will present significant achievements in tables or in schematic figures, in order to convey a global perspective of the several horizons that fall under the name of photonic quantum information.

Verified 2026-11-10 · 5 references not checked yet

Overview

AI snapshot

Written from the paper’s full text.

TL;DR

This review surveys photonic quantum information processing across single-photon encoding and technologies, quantum communication, and quantum simulation. It synthesizes theoretical, experimental, and technological milestones, using tables and schematic figures to map the field.

Key findings

  • The review organizes the field into three chapters: single-photon encoding and photonic technologies, quantum communication, and photonic quantum simulation.
  • In quantum communication, it reports a dense-coding channel capacity of (1.665 ± 0.018), beating the linear-optics/entanglement limit log₂3 ≈ 1.585 bits; teleportation of single-photon qubits over 1400 km to a satellite; and 2018 decoy-state QKD between a low-Earth-orbit satellite and ground stations separated by 7600 km.
  • In quantum simulation/BosonSampling, it notes four 2013 experiments with n = 3 photons and classical simulation up to 30 photons in 2017; quantum repeaters are classified into three generations, with type III transferring blocks of ∼200 qubits.
  • Photonic technologies reviewed include single-photon sources in the 750–1550 nm range, integrated circuits, and detectors; the paper states current sources fulfill only a limited number of ideal requirements.

Methods

  • Design: narrative review, not primary research; it aims for a balance among theoretical, experimental, and technological results.
  • Data/sample: literature and reported achievements, presented in tables or schematic figures; no new sample or dataset is generated.
  • Analysis: classification and synthesis into three chapters; no systematic review protocol or meta-analysis is stated.

Limitations

  • Stated: the field evolves rapidly, making it “challenging to stay up-to-date” during completion; the classification includes works that “easily overlap.”
  • Evident: as a review, it reports no original experiments or data, and no systematic search or inclusion criteria are described.
  • Evident: coverage is selective and organized by the authors’ three-chapter framework, so it cannot be exhaustive.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.1088/1361-6633/aad5b2

Cites

680 of 685 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

Verification

Claims the paper makes

91 of 275 cited sources checked · 7 supported · 8 flagged · accuracy not yet measured

  • Premisecitation

    Accurate control over path-encoded qubits for universal manipulation is possible with relatively low technological requirements compared to other encoding schemes.

    “Indeed, accurate control over these qubits for universal manipulation is possible with relatively low technological requirements when compared to other encoding schemes [37,122].”
    Quote in the paperNot a substantial claim2 of 2 sources checked
    • cites [37] Kaiser, 2014, Opt. Commun. source

      The Conclusion describes precise control of polarization-entangled states, not path-encoded qubits. A search for path encoding found discussion of interferometer paths in the polarization-entanglement preparation stage, but no claim about universal manipulation of path-encoded qubits or their technological requirements relative to other encodings. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [122] Goyal, 2013, Sci. Rep. source

      The Discussion (page unavailable) says that preparing and manipulating the paper’s path-separated single-rail qubits is problematic compared with OAM-encoded qudits. It also says general deterministic single- and two-qubit gates are unavailable for single-rail qubits, contrary to the claimed ease of universal manipulation. The paper assigns the advantage of standard preparation and manipulation techniques to OAM-encoded qudits, not these qubits. (LLM, conf=0.86)

      Checked by a reasoning model — may be wrong.

      Experimental — accuracy not yet measured
  • Interpretationreasoning

    Alignment-free OAM states have unlocked advancements in free-space quantum key distribution and quantum communication with high bit exchange rates.

    “These features have unlocked a number of advancements in free-space quantum key distribution and quantum communication [67,81,86,[96][97][98][99][100][101][102][103] with high bit exchange rates [104,105].”
    Quote in the paperSubstantial claim4 of 5 sources checked
    • cites [67] Giovannini, 2011, Phys. Rev. A source

      The Introduction (page unavailable) says that studying OAM-qubit resilience in free-space propagation is important for quantum communication, and the Conclusions (page unavailable) call OAM qubits a useful communication resource. The paper does not report that alignment-free states unlocked advances in free-space quantum key distribution or achieved high bit exchange rates. (LLM, conf=0.82)

      Experimental — accuracy not yet measured
    • cites [81] Forbes, 2016, Adv. Opt. Photonics source
    • cites [86] Beltran, 2017, J. Opt. source

      The Introduction describes OAM as useful for information encoding and says correlated OAM modes can increase information capacity. The Discussion also mentions possible use in communications. Neither passage establishes alignment-free operation, advances in free-space quantum key distribution, or high bit exchange rates. (LLM, conf=0.84)

      Experimental — accuracy not yet measured
    • cites [104] Leonhard, 2017, Phys. Rev. A source

      The Introduction discusses OAM states in free-space quantum cryptography and reports prior quantum key distribution and entanglement distribution; the Conclusion suggests adaptive optics could improve OAM-based quantum communication. Neither section describes the states as alignment-free or establishes that they unlocked the claimed advancements. The high-bit-exchange-rate phrase has its own citations [104,105], so it is not attributed to this source by the printed sentence. (LLM, conf=0.84)

      Experimental — accuracy not yet measured
    • cites [105] Jabir, 2017, Sci. Rep. source

      The Introduction describes polarization–OAM hybrid entanglement as useful for quantum information and identifies quantum communication and cryptography as applications of entanglement. It does not report alignment-free OAM states unlocking advances in free-space quantum key distribution or quantum communication. The high-bit-rate clause has separate citations in the citing sentence and is not attributed to this source. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
  • Premisecitation

    The cost, wavelength selectivity and difficulty of generating qudits with spiral wave plates limit their applicability.

    “However, their cost, the selectivity in wavelength and the hardness to generate qudits still limit their applicability [49].”
    Quote in the paperNot a substantial claim1 of 1 sources checked
    • cites [49] Steinlechner, 2017, Nat. Commun. source

      The Abstract discusses adaptive-optics challenges for orbital-angular-momentum encoding, and the Discussion describes a two-dimensional limit of the paper’s calcite-based measurements. Neither passage addresses spiral wave plates or their cost, wavelength selectivity, or difficulty generating qudits. Searches for those specific terms found no supporting passage in our copy. (LLM, conf=0.74)

      Experimental — accuracy not yet measured
  • Premisecitation

    Integrated manipulation of polarization qubits requires ad-hoc designs that represent additional challenges.

    “Conversely, an integrated manipulation of polarization qubits requires ad-hoc designs that represent additional challenges, as demonstrated for instance by the fabrication of rotated waveplates in integrated femtosecond laser-written circuits [20,123].”
    Quote in the paperNot a substantial claim1 of 2 sources checked
    • cites [20] Bliokh, 2015, Nat. Photon. source

      The section on anisotropic structures (p. 12) describes designed elements for controlling light’s polarization, but does not address integrated polarization-qubit manipulation or its fabrication challenges. Searches for integrated circuits, polarization qubits, and femtosecond laser-written waveplates found no passage establishing the claim. (LLM, conf=0.72)

      Experimental — accuracy not yet measured
    • cites [123] Ding, 2013, Nat. Commun. source

      Checked before — its earlier verdict is held back until a new check runs.

  • Premisecitation

    A q-plate allows manipulation of OAM depending on the input polarization state.

    “Lastly, interesting possibilities are offered by the qplate (QP), a device built on liquid crystals, polymers or sub-wavelength gratings that allows to manipulate OAM depending on the input polarization state [46,51,54,[59][60][61][62][63][64][65][66].”
    Quote in the paperNot a substantial claim2 of 3 sources checked
    • cites [46] Vallone, 2009, Phys. Rev. A source

      The conclusion (page unavailable) mentions orbital angular momentum only as a possible degree of freedom for future work. The experimental-setup passage describes a quarter-wave plate, not a q-plate. Searches for q-plates and polarization-dependent OAM manipulation found no passage addressing the claim. (LLM, conf=0.75)

      Experimental — accuracy not yet measured
    • cites [51] Kwiat, 1997, J. Mod. Opt. source
    • cites [54] Bierdz, 2013, New J. Phys. source

      Section 4.3 (page unavailable) discusses a vortex phase plate and spatial light modulator changing OAM, not a q-plate. Section 2.1 (page unavailable) uses polarization optics to control the spectrometer’s pulse-energy distribution, but does not say that OAM manipulation depends on input polarization. Searches for q-plates and polarization-dependent OAM manipulation found no passage addressing the claim. (LLM, conf=0.75)

      Experimental — accuracy not yet measured
  • It may state two separate claims as one. 43
  • Probably not a substantial claim. 34
  • It may state two separate claims as one.

    Premisecitation

    Probabilistic single-photon sources include parametric down-conversion in bulk crystals, semiconductors, microresonators and optical waveguides, and four-wave mixing in optical waveguides, few-mode fibers and microdisks.

    “Among probabilistic sources we mention (a) parametric down-conversion (PDC) in bulk crystals [204], semiconductors [166,215], microresonators [183, 185] and optical waveguides [32, 172-175, 177-182, 209, 210, 212-214] and (b) four-wave mixing (FWM) in optical waveguides [184,189,211], few-mode fibers [186] and microdisks [187].”
    Quote in the paperNot a substantial claim3 of 5 sources checked
    • cites [204] Portalupi, 2015, Nano Lett. source
    • cites [166] Hayat, 2012, Opt. Express source

      The Introduction (page unavailable) identifies cavity parametric down-conversion as a way to obtain single-photon states, supporting the PDC portion of the claim. The paper does not substantiate the listed range of source platforms or the four-wave-mixing examples; it focuses on temporal encoding of PDC-generated photons. (LLM, conf=0.84)

      Experimental — accuracy not yet measured
    • cites [215] Khoshnegar, 2017, Nat. Commun. source

      The citation is attached to parametric down-conversion in semiconductors. The paper’s Abstract instead describes its semiconductor quantum-dot molecule as producing photon triplets by triple cascade recombination, and contrasts that approach with SPDC-based schemes. It does not present the quantum-dot molecule as a parametric down-conversion source. (LLM, conf=0.88)

      Checked by a reasoning model — may be wrong.

      Experimental — accuracy not yet measured
    • cites [183] Huntington, 2004, Phys. Rev. A source
    • cites [185] Tian, 2016, J. Phys. Soc. Japan source
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    Teleportation has also been reported on squeezed entangled states.

    “Next to the discrete-variable schemes of the first demonstrations, teleportation was also reported on squeezed entangled states [352][353][354][355][356][357][358], for which a review is available [359].”
    Quote in the paperNot a substantial claim5 of 7 sources checked
    • cites [352] Raussendorf, 2001, Phys. Rev. Lett. source
    • cites [353] Bouwmeester, 1997, Nature source

      The Next Steps (p. 6) identifies this experiment as transferring a photon's polarization state using polarization-entangled photon pairs, not squeezed entangled states. The Results (p. 5) likewise report teleportation of photon polarization states. The cited paper therefore describes a different kind of demonstration from the one attributed to it here. (LLM, conf=0.90)

      Checked by a reasoning model — may be wrong.

      Experimental — accuracy not yet measured
    • cites [354] Boschi, 1998, Phys. Rev. Lett. source

      The experimental description (page unavailable) says the EPR pair for teleportation is provided by photon path (k-vector) entanglement. The paper reports teleporting linearly and elliptically polarised states, not teleportation on squeezed entangled states. (LLM, conf=0.86)

      Checked by a reasoning model — may be wrong.

      Experimental — accuracy not yet measured
    • cites [355] Furusawa, 1998, Science source
    • cites [356] Jennewein, 2001, Phys. Rev. Lett. source

      The paper describes teleportation by entanglement swapping, but specifies that its experiment uses polarization-entangled photon pairs in Bell states (p. 2). That is a discrete-variable scheme, not teleportation on squeezed entangled states. (LLM, conf=0.88)

      Checked by a reasoning model — may be wrong.

      Experimental — accuracy not yet measured
    • cites [357] Pan, 2002, Phys. Rev. Lett. source

      The paper reports high-fidelity teleportation through entanglement swapping (p. 1), so it supports the general point that teleportation was reported. But its experiment uses polarization-entangled photon pairs and Bell-state measurements (pp. 1, 3), not squeezed entangled states; that defining part of the attributed claim is unsupported. (LLM, conf=0.85)

      Experimental — accuracy not yet measured
    • cites [358] Lombardi, 2002, Phys. Rev. Lett. source

      The experiment described in the paper (section labeled Abstract; page unavailable) teleports entangled states in a vacuum–one-photon qubit, not squeezed entangled states. It explicitly describes the states used as simple single-photon states prepared with a beam splitter. (LLM, conf=0.83)

      Checked by a reasoning model — may be wrong.

      Experimental — accuracy not yet measured
  • It may state two separate claims as one.

    Premisecitation

    Single-photon qubits have been teleported on atomic ensembles such as Caesium atoms, 87Rb atoms, a pair of trapped calcium ions, or diamond.

    “Single-photon qubits have been teleported on atomic ensembles [363,364] such as Caesium atoms [365] or 87 Rb atoms [366][367][368], on a pair of trapped calcium ions [369] or diamond [370].”
    Quote in the paperNot a substantial claim6 of 6 sources checked
    • cites [363] Ma, 2012, Nature source

      The Experiment section describes teleporting a single-photon state across a 143 km free-space optical link. It does not report teleportation onto caesium or rubidium atoms, trapped calcium ions, or diamond; the receiving system uses another photon. No page numbers are available in our copy. (LLM, conf=0.85)

      Experimental — accuracy not yet measured
    • cites [364] Yin, 2012, Nature source

      The 'Teleportation through one-link channel' section describes teleporting a photon's polarization state to another photon across a free-space optical link, not onto an atomic ensemble. The separate citations for caesium, rubidium, trapped ions and diamond are not attributed to this source. (LLM, conf=0.85)

      Checked by a reasoning model — may be wrong.

      Experimental — accuracy not yet measured
    • cites [365] Ren, 2017, Nature source

      The figure caption reports teleportation of single-photon qubits from a ground observatory to a satellite. The paper does not report teleportation onto caesium or rubidium ensembles, trapped calcium ions, or diamond, so it supports the general teleportation point but not the listed destinations. (LLM, conf=0.88)

      Experimental — accuracy not yet measured
    • cites [366] Zhang, 2003, Phys. Rev. A source

      The Introduction and Conclusion describe this paper’s experiment as continuous-variable teleportation of optical fields, using squeezed beams and coherent-state inputs. That is contrary to attributing to it teleportation of single-photon qubits on atomic ensembles, trapped calcium ions, or diamond. The passages provide section labels but no page numbers. (LLM, conf=0.88)

      Checked by a reasoning model — may be wrong.

      Experimental — accuracy not yet measured
    • cites [367] Bowen, 2003, Phys. Rev. A source

      Our copy describes teleportation of optical-field quadratures and modulation sidebands of a bright beam (Abstract; page unavailable). Searches for atomic ensembles, caesium, rubidium, calcium ions, diamond, and single-photon qubits found no passage reporting the claimed teleportations. The paper’s different experimental system does not establish that those teleportations did not occur. (LLM, conf=0.75)

      Experimental — accuracy not yet measured
    • cites [368] Takei, 2005, Phys. Rev. Lett. source

      The paper’s Abstract reports teleportation of a coherent optical state and mentions earlier experiments with photonic qubits and atomic qubits separately. Neither that passage nor the additional passages searched for Caesium, 87Rb, trapped calcium ions, diamond, and atomic ensembles addresses teleporting single-photon qubits onto any of the listed systems. (LLM, conf=0.74)

      Experimental — accuracy not yet measured
  • It may state two separate claims as one.

    Premisecitation

    The number of OAM modes is potentially unbounded and therefore challenging to characterize.

    “While, in fact, polarization encoding requires to resolve only two components, which can be done easily by means of waveplates and polarizing beam splitters, the number of OAM modes is potentially unbounded and as such challenging to characterize [68].”
    Quote in the paperNot a substantial claim1 of 1 sources checked
    • cites [68] Nape, 2017, Phys. Rev. A source

      The Results section says OAM offers an infinitely large Hilbert space, supporting the claim that the number of modes is potentially unbounded. The paper does not say that this makes OAM modes challenging to characterize; its detection scheme addresses a selected two-mode subspace. (LLM, conf=0.86)

      Experimental — accuracy not yet measured
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    Time-bin encoding has been proposed as a suitable scheme for quantum walks and photonic BosonSampling.

    “Besides quantum communication, timebin encoding has been proposed as a suitable scheme also for quantum walks [146-148] and for photonic BosonSampling [149, 150] (see Section 3.2).”
    Quote in the paperNot a substantial claim5 of 5 sources checked
    • cites [146] Marcikic, 2004, Phys. Rev. Lett. source

      The paper describes time-bin encoding for quantum communication and reports transmission of entangled photons over optical fiber (pp. 1, 4). Searches for quantum walks and photonic BosonSampling found no passage proposing time-bin encoding for either application. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [147] Tang, 2016, Chin. Phys. Lett. source

      The paper’s main text describes a time-bin phase-encoding scheme for measurement-device-independent quantum key distribution. Searches for quantum walks and photonic BosonSampling found no passage addressing either proposed application, so our copy does not verify the claim. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [148] Gündoǧan, 2015, Phys. Rev. Lett. source

      The paper discusses storing time-bin qubits and describes them as a resource for quantum communication and processing (Abstract section; page unavailable). Searches for quantum walks and photonic BosonSampling found no passage proposing time-bin encoding for either application, so our copy does not verify the attributed claim. (LLM, conf=0.74)

      Experimental — accuracy not yet measured
    • cites [149] Donohue, 2013, Phys. Rev. Lett. source

      The BosonSampling part of the citing sentence is the relevant attribution; quantum walks have separate citations. Our copy’s Introduction discusses time-bin encoding for communication and fundamental experiments, and its supplementary section discusses higher-dimensional time-bin states, but neither addresses BosonSampling. Searches for “BosonSampling” and “boson sampling” found no supporting passage. (LLM, conf=0.73)

      Experimental — accuracy not yet measured
    • cites [150] Marcikic, 2002, Phys. Rev. A source

      Section II describes time-bin qubits, and the Introduction discusses their use in long-distance quantum communication. Searches for quantum walks and photonic BosonSampling found no passage proposing time-bin encoding for either application; page numbers are unavailable in our copy. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
  • It may state two separate claims as one.

    Premisecitation

    OAM has enabled optimal quantum cloning of OAM-encoded qubits and photonic quantum walks in OAM states, with theoretical analyses and experimental demonstrations.

    “At a fundamental level, OAM has enabled researches on optimal quantum cloning of OAM-encoded qubits [66,81] and photonic quantum walks in the orbital angular momentum states, with theoretical analyses [82,83] and experimental demonstrations [51,54,60].”
    Quote in the paperNot a substantial claim4 of 7 sources checked
    • cites [66] Zhang, 2010, Phys. Rev. A source
    • cites [81] Forbes, 2016, Adv. Opt. Photonics source
    • cites [82] Zhao, 2017, Opt. Lett. source
    • cites [83] Piccirillo, 2015, Nat. Commun. source

      The Results (Experimental demonstration; page unavailable) describe measurements of the moments of OAM superpositions, not cloning or photonic quantum walks. The Discussion (page unavailable) identifies the demonstration as a classical-optics experiment. Searches for quantum walks and cloning found no passage addressing the research attributed to this source. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [51] Kwiat, 1997, J. Mod. Opt. source
    • cites [54] Bierdz, 2013, New J. Phys. source

      The Introduction describes OAM applications, and the Experimental implementation and Conclusions describe a time-mapping OAM spectrometer. None addresses optimal cloning of OAM-encoded qubits or photonic quantum walks; searches for those topics found no relevant passage in our copy. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [60] Cardano, 2016, Nat. Commun. source
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    Several approaches for single-photon sources have been developed in the last decades.

    “Several approaches for single-photon sources have been developed in the last decades (see Table 2) [172][173][174][175].”
    Quote in the paperNot a substantial claim4 of 4 sources checked
    • cites [172] Menicucci, 2010, Phys. Rev. Lett. source

      The passages labeled Abstract discuss approaches to producing continuous-variable cluster states, not single-photon sources. Searches for single-photon sources and generation found no passage addressing the cited claim; the paper’s mention of photon counting concerns detection, not source development. No page numbers are supplied in our copy. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [173] Menicucci, 2011, Phys. Rev. A source

      The Introduction discusses several methods for constructing continuous-variable cluster states, not approaches for single-photon sources. The Discussion likewise concerns cluster-state generation; searches for “single-photon sources” and “single photon source generation” found no passage addressing the attributed claim. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
    • cites [174] Yokoyama, 2013, Nat. Photon. source

      The main text discusses approaches to generating continuous-variable cluster states and notes probabilistic photon-pair generation, but it does not discuss the development of several approaches to single-photon sources. A search for single-photon sources and single-photon generation found no passage addressing that claim; no page number is available in our copy. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [175] Chen, 2014, Phys. Rev. Lett. source

      The paper’s Abstract describes generating multipartite entanglement in optical frequency-comb modes, not approaches for single-photon sources. Searches for “single-photon sources” and “single photon source generation heralded photons” found no passage in our copy addressing the cited claim. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    Polarization encoding has played an important role in many quantum information investigations, ranging from quantum simulation to quantum computation and communication.

    “Polarization encoding has always played an important role in a significant number of investigations in quantum information, ranging from quantum simulation [16,17] to quantum computation [18][19][20][21][22] and communication [23,24].”
    Quote in the paperNot a substantial claim8 of 9 sources checked
    • cites [16] Braunstein, 2014, Rev. Mod. Phys. source
    • cites [17] Martínez-Herrero, 2010, Opt. Express source

      The Introduction and Conclusions discuss polarization as a component of light-beam angular momentum, not polarization encoding in quantum information. Searches for quantum computation and for quantum simulation, computation, and communication found no passage addressing those applications. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [18] Kok, 2010 source
    • cites [19] Bliokh, 2015, Phys. Rep. source

      Section 3.3 (p. 33) identifies quantum information as a potential application of polarization-related spin-direction locking. It does not establish that polarization encoding has played an important role across quantum simulation, computation, and communication; the passage describes a potential application, not that broader history. (LLM, conf=0.82)

      Experimental — accuracy not yet measured
    • cites [20] Bliokh, 2015, Nat. Photon. source

      The introduction (p. 1) identifies polarization as a photon degree of freedom, and the Concluding remarks (p. 17) say spin degrees of freedom promise applications in optical communications and quantum information processing. The paper does not establish that polarization encoding has already played an important role across quantum simulation, computation, and communication; it frames the applications chiefly as prospective and does not address simulation. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
    • cites [21] Hou, 2015, Opt. Express source

      The Introduction describes applications of mutually unbiased bases in quantum key distribution and quantum state estimation, and §2.1 describes measurements on polarization qubits in optical experiments. This supports the broad point that polarization is important in quantum-information work, but the paper does not establish the claimed range extending to quantum simulation and computation. (LLM, conf=0.82)

      Experimental — accuracy not yet measured
    • cites [22] Sansoni, 2012, Phys. Rev. Lett. source
    • cites [23] Matthews, 2013, Sci. Rep. source
    • cites [24] Walther, 2005, Nature source
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    A spectrum analyzer is capable of measuring the instantaneous power and phase distributions of OAM components.

    “In this direction, a spectrum analyzer is a device capable to measure the instantaneous power and phase distributions of OAM components [48,52,[69][70][71][72][73][74].”
    Quote in the paperNot a substantial claim3 of 3 sources checked
    • cites [48] Chen, 2006, Phys. Rev. Lett. source

      The indexed passages (labeled Abstract; page not provided) describe polarization-based quantum key distribution and measurements of photon states. Searches for an OAM spectrum analyzer and for measurements of OAM-mode power and phase found no passage addressing the claimed capability. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [52] Cardano, 2012, Appl. Opt. source

      The Experiment section (page unavailable) describes CCD-based polarization tomography and reconstruction of a beam’s polarization pattern, not an OAM spectrum analyzer. Searches for instantaneous power and phase measurements of OAM components found no passage in our copy addressing that capability. (LLM, conf=0.77)

      Experimental — accuracy not yet measured
    • cites [69] D’Errico, 2017, Optica source

      The Results and Discussion section (page unavailable) explains how interference images yield the complex coefficients of OAM components, supporting measurement of their power and phase. It says full decomposition requires four images and interferometric stability; it does not establish that the distributions are measured instantaneously. (LLM, conf=0.86)

      Experimental — accuracy not yet measured
  • It may state two separate claims as one.

    Premisereasoning

    Path-encoded qubits and qudits are perfectly fit for photonic integrated circuits because waveguide arrays inherently implement spatial separation and coupling between modes is easily accomplished with directional couplers.

    “Path-encoded qubits, as well as qudits [119], are perfectly fit for photonic integrated circuits, since waveguide arrays inherently implement a spatial separation and coupling between modes is easily accomplished with directional couplers.”
    Quote in the paperNot a substantial claim1 of 1 sources checked
    • cites [119] Garcia-Escartin, 2012, Phys. Rev. A source

      Section IV (Information Encoding; page unavailable) distinguishes path from the polarization degree of freedom used to encode the paper’s qubits. Searches for qudits, photonic integrated circuits, waveguide arrays, and directional couplers found no passage addressing the cited claim. Section VIII discusses limitations of OAM-based networks, not the suitability of path-encoded states for integrated circuits. (LLM, conf=0.75)

      Experimental — accuracy not yet measured
  • It may state two separate claims as one.

    Premisecitation

    Two methods can be adopted to circumvent noisy channels: increasing resilience to losses and noise with two-way classical communications, or decreasing their influence by encoding information in decoherence-free subspaces.

    “Two methods can be adopted to circumvent the issue of noisy channels: to increase the resilience of a protocol to losses and noise [380][381][382] (two-way classical communications), or to decrease their influence by encoding information in immune states (decoherence-free subspaces, DFS), for both quantum computation [383] and quantum communication tasks [384].”
    Quote in the paperNot a substantial claim4 of 5 sources checked
    • cites [380] Chen, 2008, Nat. Phys. source

      The main text says the teleportation fidelity is insensitive to photon losses, supporting the loss-resilience part of the clause to which this paper is cited. The Figure 1 description says Bell-state measurement results are sent from Alice to Bob over a classical channel; it does not describe two-way classical communication as the source of resilience, or establish resilience to channel noise generally. The decoherence-free-subspace method is cited separately in the citing sentence. (LLM, conf=0.86)

      Experimental — accuracy not yet measured
    • cites [381] Nölleke, 2013, Phys. Rev. Lett. source

      The Abstract describes teleportation as an alternative to direct transfer over lossy channels, and the Efficiency of the protocol section says successful transfers are heralded. This supports the loss-resilience part of the cited clause, but our copy does not establish the claimed use of two-way classical communication or general resilience to channel noise. The DFS clause is cited to other sources, not this paper. (LLM, conf=0.82)

      Experimental — accuracy not yet measured
    • cites [382] Bao, 2012, Proc. Natl Acad. Sci. USA source

      The Experimental details (page unavailable) describe heralded state preparation, a trigger for successful teleportation, and classical measurement results sent to node B. These support the use of classical signaling in a heralded protocol, but the paper does not establish the cited claim that two-way classical communication increases resilience to channel losses and noise. The decoherence-free-subspace alternative is attributed to other citations, not this paper. (LLM, conf=0.79)

      Experimental — accuracy not yet measured
    • cites [383] Riebe, 2004, Nature source
    • cites [384] Hou, 2016, Nat. Commun. source

      The citation appears to support using decoherence-free subspaces for quantum communication. The Results (Photon-to-phonon teleportation scheme; Experimental realization of teleportation) describe teleportation and measured noise, but do not describe encoding information in decoherence-free subspaces to protect it from noisy channels. Searches for decoherence-free subspaces and protected encoding found no passage addressing that method. (LLM, conf=0.74)

      Experimental — accuracy not yet measured
  • It may state two separate claims as one.

    Premisecitation

    Chen et al.'s scheme was alignment-free, with no need for a shared reference frame, and insensitive to phase fluctuations in the interferometer.

    “Importantly, their scheme was also alignmentfree, i.e. with no need for a shared reference frame, and dense coding quantum teleportation entanglement swapping entanglement purification decoherence-free subspaces insensitive to phase fluctuations in the interferometer.”
    Quote in the paperNot a substantial claim1 of 1 sources checked
    • cites [42] Rojas-Rojas, 2014, Phys. Rev. A source

      The Introduction and Experimental Results discuss polarization-dependent propagation in waveguide arrays; the Conclusion describes a compact polarizing beam splitter. Searches for an alignment-free scheme, a shared reference frame, and interferometer phase fluctuations found no passage addressing the attributed claim about Chen et al. (LLM, conf=0.74)

      Experimental — accuracy not yet measured
  • Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.

    Premisecitation

    Yamamoto et al.'s work had the capability to extend the scheme to multipartite states and applicability with single-mode fibers.

    “Other significant features reported in their work were the capability to extend the scheme to multipartite states, thanks precisely to the state-independence, and its applicability also with single-mode fibers.”
    Quote in the paperNot a substantial claim1 of 1 sources checked
    • cites [388] Khalique, 2014, Phys. Rev. A source

      The Introduction and Conclusions describe Khalique and Sanders’s entanglement-swapping model, not features of Yamamoto et al.’s work. Searches for Yamamoto, multipartite states, state-independence, and single-mode fibers found no passage in our copy addressing the attributed capabilities. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
  • It may state two separate claims as one.

    Premisecitation

    On the above platforms, photonic circuits can be implemented according to linear-optical interferometric schemes capable of arbitrary unitary evolutions, or designs optimized for Fourier and Hadamard transformations.

    “On the above platforms, photonic circuits can be implemented [243,244] according to linear-optical interferometric schemes capable to perform arbitrary unitary evolutions [245,246], or designs optimized for Fourier and Hadamard transformations [241, 244].”
    Quote in the paperNot a substantial claim4 of 5 sources checked
    • cites [243] Ding, 2017, npj Quantum Inf. source

      The Experimental results section (page unavailable) describes a silicon photonic circuit using cascaded Mach–Zehnder interferometers and phase shifters to prepare and measure quantum states. This supports the citation as an example of an implemented interferometric circuit, but our copy does not identify its design as optimized for Fourier or Hadamard transformations. The arbitrary-unitary claim is attached to different citations. (LLM, conf=0.80)

      Experimental — accuracy not yet measured
    • cites [244] Harris, 2017, Nat. Photon. source

      The processor description (p. 3) supports citing this paper as an example of an implemented photonic interferometric circuit: it reports 88 Mach–Zehnder interferometers and programmable phase shifters. The Discussion (p. 6) discusses arbitrary unitary operators as a possibility using embedded circuits, but our copy does not report a design optimized for Fourier or Hadamard transformations, the other part of the sentence citing this source. (LLM, conf=0.85)

      Experimental — accuracy not yet measured
    • cites [245] Taballione, 2018, 8×8 programmable quantum photonic processor based on silicon nitride waveguides source
    • cites [246] Tanzilli, 2012, Laser Photonics Rev. source

      Section VI (page not provided) describes integrated photonic circuits and says a spatial Hadamard gate can be realized with a 50/50 directional coupler. The cited paper does not substantiate the Fourier-transform design attributed to it. The arbitrary-unitary claim is attached to different citations in the citing sentence. (LLM, conf=0.85)

      Experimental — accuracy not yet measured
    • cites [241] Poot, 2016, Opt. Express source

      The Introduction and Section 8 describe integrated SiN photonic circuits and characterize a linear-optical CNOT circuit, supporting the citation for implementing photonic circuits. The paper does not describe designs optimized for Fourier or Hadamard transformations, which the citing sentence also attributes to this source. Its Section 4 statement that beam splitters and phase shifters can generate any unitary operation is relevant background, but the citing sentence assigns that point to different references. (LLM, conf=0.85)

      Experimental — accuracy not yet measured
  • It may state two separate claims as one.

    Premisecitation

    Exploiting hyperentangled photons has led to complete Bell measurement demonstrations in orbital angular momentum/polarization, momentum/polarization and time/polarization.

    “A solution to this issue consists in exploiting hyperentangled photons [44], leading to complete BM demonstrations in orbital angular momentum/polarization [324], momentum/polarization [325] and time/polarization [326,327].”
    Quote in the paperSubstantial claim3 of 3 sources checked
    • cites [44] Fickler, 2012, Science source

      The OAM/polarization demonstration is the part of the citing sentence associated with this source; the momentum/polarization and time/polarization demonstrations have separate citations. The paper reports transferring polarization entanglement to OAM and verifying it with an entanglement witness (Abstract; Additional information), but the passages searched for complete Bell-state measurement do not describe such a demonstration. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
    • cites [324] Stucki, 2011, New J. Phys. source

      The citation to this paper is attached to the time/polarization Bell-measurement demonstration. Section 2.4 describes a plug-and-play quantum key distribution system, not hyperentangled photons or a complete Bell measurement. Searches for those terms and for time/polarization found no passage addressing the attributed demonstration. (LLM, conf=0.75)

      Experimental — accuracy not yet measured
    • cites [325] Xu, 2009, Chin. Sci. Bull. source

      Citation [44] is attached to exploiting hyperentangled photons as a solution; the separate demonstration claims have other citations. Our copy’s Technical introduction (§1.1; page unavailable) describes a Faraday–Michelson interferometer for phase-coded quantum key distribution, not hyperentangled photons or complete Bell measurements. Searches for those terms found no passage addressing the attributed solution. (LLM, conf=0.77)

      Experimental — accuracy not yet measured
  • It may state two separate claims as one.

    Premisecitation

    In 2014, Bell et al. reported the experimental demonstration of a graph-state quantum secret sharing protocol, whose implementation was subsequently verified using the scheme in Ref. [604].

    “To this aim, in 2014 Bell et al. reported the experimental demonstration of a graph-state quantum secret sharing protocol [605], whose implementation was subsequently verified using the scheme in Ref. [604]”
    Quote in the paperNot a substantial claim1 of 2 sources checked
    • cites [605] Hamilton, 2017, Phys. Rev. Lett. source

      The citation to this paper, [604], is attached to the claim that a scheme verified the secret-sharing implementation, not to Bell et al.’s demonstration [605]. The Abstract and Conclusions describe Gaussian Boson Sampling, and searches for graph-state secret sharing and verification found no passage in our copy addressing that claim. Page numbers were not available. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [604] Peropadre, 2016, Phys. Rev. Lett. source

      Checked before — its earlier verdict is held back until a new check runs.

  • It may state two separate claims as one.

    Premisecitation

    Two approaches exist to circumvent these issues: reducing the transmission loss using free-space communication and decoherence-free subspaces, or employing quantum repeaters.

    “Notwithstanding, two approaches exist to circumvent these issues: reducing the transmission loss using free-space communication [43,96,105,348,350,351,393-399] and decoherencefree subspaces [42,116,385,386,[388][389][390][391], or employing quantum repeaters.”
    Quote in the paperNot a substantial claim2 of 10 sources checked
    • cites [43] Bonneau, 2012, Phys. Rev. Lett. source

      The discussion of telecom networks (p. 2) and the conclusion on reducing losses in integrated circuits (p. 5) do not address free-space communication, decoherence-free subspaces, or quantum repeaters as ways to overcome transmission loss. Searches for those approaches and for transmission loss found no supporting passage in our copy. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [96] Goyal, 2014, Sci. Rep. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [105] Jabir, 2017, Sci. Rep. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [348] Kalb, 2017, Science source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [350] Gottesman, 1999, Nature source

      The paper’s discussion of teleportation and fault-tolerant quantum gates (p. 1) does not address the proposed ways to reduce transmission loss. Searches for free-space communication, decoherence-free subspaces, and quantum repeaters found no passage in our copy that evaluates those approaches. (LLM, conf=0.76)

      Experimental — accuracy not yet measured
    • cites [351] Ishizaka, 2008, Phys. Rev. Lett. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [393] Takeda, 2015, Phys. Rev. Lett. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [394] Gottesman, 2003, IEEE Trans. Inf. Theory source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [395] Xiang, 2010, Nat. Photon. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [396] Kocsis, 2013, Nat. Phys. source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    In 2013, four experimental demonstrations of BosonSampling with n = 3 photons were reported.

    “Soon after its introduction, in 2013 four experimental demonstrations with n = 3 photons were re-ported [240, 567-569]”
    Quote in the paperNot a substantial claim2 of 4 sources checked
    • cites [240] Flamini, 2015, Light Sci. Appl. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [567] Rebentrost, 2009, New J. Phys. source

      The Abstract and section 4 discuss environment-assisted quantum transport, not BosonSampling experiments. Searches for BosonSampling and three-photon demonstrations found no passage addressing the reported 2013 experiments. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
    • cites [568] Caruso, 2009, J. Chem. Phys. source

      The paper’s ‘B. Entanglement dynamics’ section discusses excitations in a light-harvesting complex, while ‘A. Destructive interference suppression’ uses a single-photon interferometer as an illustration. Searches for BosonSampling and four three-photon demonstrations in 2013 found no passage addressing the claim; no page numbers were available in our copy. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
    • cites [569] Caruso, 2011, Phys. Rev. A source

      Checked before — its earlier verdict is held back until a new check runs.

  • It may state two separate claims as one.

    Premisecitation

    The computational complexity for exact classical BosonSampling was given in 2017 by Clifford and Clifford, and state-of-the-art sampling time is equal, within a factor of 2, to computing the permanent of one single scattering matrix.

    “The computational complexity for exact classical BosonSampling was given in the same year in Ref.[565] by Clifford and Clifford (CC): state-ofthe-art sampling time is equal, within a factor of 2, to computing the permanent of one single scattering matrix[566]”
    Quote in the paperNot a substantial claim1 of 2 sources checked
    • cites [565] Abouraddy, 2012, Phys. Rev. A source
    • cites [566] Lahini, 2008, Phys. Rev. Lett. source

      The cited paper’s experimental setup (p. 1) concerns light propagation in disordered optical waveguide lattices. Searches for BosonSampling, classical sampling time, matrix permanents, and Clifford and Clifford found no passage addressing the factor-of-two comparison attributed to citation [566]. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Interpretationnone given

    Current single-photon sources can fulfill only a limited number of the ideal requirements while keeping very high performances for specific applications.

    “Current sources can fullfil only a limited number of the above requirements, while keeping very high performances for specific applications.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisecitation

    Photons are an effective system to process quantum information because they propagate fast, do not interact with the environment, and can be easily manipulated.

    “Photons naturally fit this quantum revolution [5] as an effective system to process information: they propagate fast, do not interact with the environment and can be easily manipulated.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [5] Ladd, 2010, Nature source
  • It may state two separate claims as one.

    Premisenone given

    In the tuning condition, a q-plate flips the qubit polarization in the circular basis and shifts the OAM by ∆l = ±2q.

    “In the so-called tuning condition, a qplate implements the transformations QP L / R |l = L / R |l ± 2q , i.e. it flips the qubit polarization in the circular basis and shifts the OAM of a quantity ∆l = ±2q.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisereasoning

    In the paraxial limit, spin angular momentum interacts with anisotropic transparent systems such as birefringent crystals, which are widely employed for polarization manipulation.

    “Indeed, in the limit of paraxial waves of Eq.( 1), the SAM component interacts with anisotropic transparent systems such as birefringent crystals, which are consequently widely employed for polarization manipulation.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    The ease and versatility of spatial light modulators can be exploited in applications ranging from optical communication to holography-based optical tweezers.

    “The ease and versatility of SLMs can be exploited in many applications ranging from optical communication [55,56] to holography-based optical tweezers [57,58].”
    Quote in the paperNot a substantial claim0 of 4 sources checked
    • cites [55] D’Ambrosio, 2016, Photonic high dimensional systems and their applications in fundamental quantum mechanics, quantum information and quantum communication
    • cites [56] Willner, 2015, Adv. Opt. Photon. source
    • cites [57] Cardano, 2015, Sci. Adv. source
    • cites [58] Gruneisen, 2011, New J. Phys. source

      Checked before — its earlier verdict is held back until a new check runs.

  • It may state two separate claims as one.

    Premisecitation

    Photons are by far the most suitable physical system to implement flying qubits to deliver information because they experience negligible decoherence through free space or optical fibers, allow high spatial control, and linear-optical technology is accessible and advanced.

    “Photons are by far the most suitable physical system to implement flying qubits to deliver information: they experience negligible decoherence through free space or optical fibers, they allow a high spatial control, and the technology for linear-optical devices to manipulate qubits is accessible and at an advanced stage [316,317].”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites [316] Schuck, 2016, Nat. Commun. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [317] Beyer, 2015, Waveguide-coupled superconducting nanowire single-photon detectors source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    In 2005 Jiang et al. reported a test of DFS against collective noise on polarization and phase with four two-qubit states from PDC.

    “More recently, in 2005 Jiang et al. reported a test of DFS against collective noise on polarization and phase with four two-qubit states again from PDC [386]”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [386] Gao, 2013, Nat. Commun. source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Interpretationreasoning

    Photons offer a convenient solution for an implementation of entanglement swapping.

    “Similarly to teleportation, photons offer a convenient solution for an implementation of the scheme.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    In 2004, a single-mode discrete teleportation scheme using a quantum dot single-photon source was demonstrated.

    “In 2004, for instance, a single-mode discrete teleportation scheme using a quantum dot single-photon source has been demonstrated [345].”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [345] Sheng, 2015, Sci. Rep. source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.

    Premisenone given

    Si-based devices have a very high refractive index that allows reduced-size circuits and is suitable for nonlinear processes.

    “Si-based devices present a very high refractive index that allows for reduced-size circuits and that is suitable for nonlinear processes.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisecitation

    Entanglement swapping has been tested with discrete variables, continuous variables, and a hybrid approach.

    “Entanglement swapping has also been tested with discrete [377,378] and continuous variables [354], or even with a hybrid approach [379].”
    Quote in the paperNot a substantial claim0 of 4 sources checked
    • cites [377] Krauter, 2013, Nat. Phys. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [378] Barrett, 2004, Nature source
    • cites [354] Boschi, 1998, Phys. Rev. Lett. source
    • cites [379] Sherson, 2006, Nature source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisereasoning

    Due to the very low energy of a single photon, a photon-number-resolving detector requires high gain and low noise to discriminate the correct number.

    “Due to the very low energy of a single photon (∼ 10 -19 J), a PNR detector requires high gain and low noise to be able to discriminate the correct number.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisenone given

    Entanglement purification is a key ingredient in quantum computation, quantum error correction, quantum cryptography and quantum teleportation.

    “Entanglement purification is a key ingredient also in quantum computation, such as for quantum errorcorrection protocols, in quantum cryptography and quantum teleportation.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper may give no reason why it holds.

    Interpretationnone given

    A reliable and practical quantum communication requires the capability of storing information for subsequent uses.

    “One further requirement for a reliable and practical quantum communication is the capability of storing information for subsequent uses.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisenone given

    Although the probability of success is 50% lower than with CNOT gates, the quality of optical elements allows purification with much higher precision and control.

    “While the probability of success is 50% lower than the one with CNOT gates, the quality of these optical elements allow for a purification with much higher precision and control.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.

    Premisecitation

    Si-based platforms are advanced platforms whose development benefits from electronics technologies.

    “Si-based platforms, including silicon (Si), silicon nitride (SiN) and silicon carbide (SiC), are advanced platforms whose development benefits from the know-how given by electronics technologies [235].”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [235] Crespi, 2011, Nat. Commun. source
  • It may state two separate claims as one.

    Premisenone given

    Si-based single-photon avalanche photodiodes exhibit good performances with visible light but suffer in the infrared window due to incompatibility between good IR absorption and low noise.

    “Si-based SPADs exhibit good performances with visible light but still suffer in the infrared window, due to the incompatibility between good IR absorption and low-noise.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisecitation

    A simpler entanglement purification solution based only on polarizing beam splitters was introduced and verified experimentally.

    “The original approach was based on CNOT operations [328]; few years later a simpler solution was introduced [329] and verified experimentally [330] based on only polarizing beam splitters.”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites [329] Hughes, Network-centric quantum communications with application to critical infrastructure protection

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites [330] Nielsen, 2010 source
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    A hybrid approach to bridge the gap between discrete and continuous variables has been recently proposed and tested.

    “To bridge the gap between discrete and continuous variables, a hybrid approach has been recently proposed and tested [360].”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [360] Xia, 2017, Quantum Sci. Technol. source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Interpretationnone given

    Future implementations of quantum repeaters in optical networks will require active synchronization of the single-photon sources involved in the exchange of information between nodes.

    “Future implementations of quantum repeaters in optical networks will require active synchronization of the single-photon sources involved in the exchange of information between the various nodes.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisecitation

    The first experimental demonstration of DFS communication was reported in 2000 by Kwiat et al., where a controllable collective decoherence was induced on an entangled photon pair from spontaneous parametric down-conversion and one specific entangled state was observed to be immune to decoherence.

    “The first experimental demonstration of DFS communication was reported in 2000 by Kwiat et al. [385], where the authors induced a controllable collective decoherence on an entangled photon pair generated by spontaneous parametric down-conversion (PDC) and observing that, as predicted, one specific entangled state was immune to decoherence.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [385] Olmschenk, 2009, Science source

      Checked before — its earlier verdict is held back until a new check runs.

  • It may state two separate claims as one.

    Premisereasoning

    Limitations of the silica-on-silicon technique are the need for a mask and restriction to one polarization due to birefringence induced by rectangular cross-sections.

    “Limitations of the SoS technique are the need for a mask and the restriction to one polarization, due to the birefringence induced by the rectangular cross-sections.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisenone given

    Limitations of Si-based devices are low mode-matching with optical fibers and relatively high propagation losses.

    “Limitations are the low mode-matching with optical fibers and the relatively high propagation losses.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisecitation

    UV writing does not require masks, reducing fabrication complexity, and allows arbitrary 3D geometries.

    “This technique does not require the adoption of masks, thus reducing the complexity of fabrication, and allows for arbitrary 3D geometries.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisenone given

    Integrated optical circuits are built upon architectures of directional couplers, with additional geometries to account for deformation-induced phase shifts.

    “Integrated optical circuits are built upon architectures of directional couplers, with additional geometries to account for deformationinduced phase shifts.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisecitation

    First demonstrations of entanglement swapping were in 1998 by Pan et al., 2001 by Jennewein et al., and 2002 by Sciarrino et al., all based on parametric down-conversion sources.

    “First demonstrations of entanglement swapping go back to 1998 by Pan et al. [375], to 2001 by Jennewein et al. and to 2002 by Sciarrino et al., all based on parametric down-conversion sources.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [375] Kimble, 2008, Nature source
  • Probably not a substantial claim.

    Interpretationnone given

    Future quantum networks engineered to deliver quantum information between distant nodes on the globe are the sought-after goal underlying most of the investigations described.

    “Future quantum networks, engineered to deliver quantum information between distant nodes on the globe, are the sought-after goal underlying most of the investigations described above (see Fig. 4).”
    Quote in the paperSubstantial claim
  • It may state two separate claims as one.

    Premisecitation

    Entanglement is an essential physical resource for quantum communication protocols and must be protected during transfer.

    “Entanglement is an essential physical resource to this aim [318] and, as such, it is necessary to protect it during the transfer.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [318] Shainline, 2017, Opt. Express source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.

    Premisenone given

    Fused silica is widely adopted for integration due to low propagation losses, low birefringence, operation from visible to infrared, good coupling efficiency with single mode fibers and low temperature dependence.

    “One widely adopted material for the integration remains fused silica thanks to its numerous benefits: low propagation losses, low birefringence, operation from visible to infrared, good coupling efficiency with single mode fibers and low temperature dependence.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisenone given

    Detecting photons with high probability and reliability is a key requirement for most tasks, often representing a bottleneck for overall efficiency.

    “Detecting photons with high probability and reliability is a key requirement for most tasks, often representing a bottleneck for the overall efficiency of an apparatus.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisecitation

    Ikuta et al.'s work used backward propagation of coherent light in combination with single-photon states, and violation of the CHSH inequality to prove nonlocality in the transmission.

    “Additional features of their work were the use of backward propagation of coherent light in combination with single-photon states, and the violation of the Clauser-Horne-Shimony-Holt inequality [316] to prove nonlocality in the transmission.”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites [389] Pan, 1998, Phys. Rev. Lett. source
    • cites [316] Schuck, 2016, Nat. Commun. source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Interpretationreasoning

    Multiplexing in one of the degrees of freedom could increase the transmission rate.

    “however, a good solution to this drawback could be multiplexing in one of the degrees of freedom (see Section 1.1) to increase the transmission rate.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    Lattices subject to external gradient forces exhibit Bloch oscillations, a characteristic periodic oscillation between spreading and localization of the wave packet, which have been observed experimentally in photonic platforms.

    “lattices subject to external gradient forces exhibit a characteristic periodic oscillation between spreading and localization of the wave packet, the so-called Bloch oscillations, which have been observed experimentally in photonic platforms [524,541,[554][555][556]”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [524,541,[554][555][556]

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • It may state two separate claims as one.

    Premisecitation

    The scalability of parametric down-conversion sources and the relevance of non-ideal detector efficiencies have been addressed and investigated experimentally in 2015 with the Scattershot implementation.

    “Furthermore, the scalability of parametric down-conversion sources and the relevance of non-ideal detectors' efficiencies have been addressed in Ref. [579] and investigated experimentally in 2015 with the Scattershot implementation [580,581]”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites [579] Harrow, 2017, Nature source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [580] Valiant, 1979, Theor. Comput. Sci. source
    • cites [581] Scheel, 2008, Acta Phys. Slovaca source
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    Recently, the implementation of a lossy BosonSampling experiment has been reported.

    “Recently the implementation of a lossy BosonSampling experiment has been reported [595]”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [595] Rohde, 2012, Phys. Rev. A source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.

    Premisenone given

    In the first generation, the idea is to create entanglement between adjacent nodes and to use teleportation to exchange information.

    “The idea here is to create entanglement between adjacent nodes and to use teleportation to exchange information.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.

    Premisecitation

    Since 2015, alternative BosonSampling schemes have been proposed, including driven BosonSampling, microwave-photon BosonSampling, squeezed-state BosonSampling, a Gaussian-measurement scheme, and a time-bin loop-based scheme.

    “Since 2015, a number of alternative schemes have been proposed: driven BosonSampling, where the input photons are generated within the interferometer [585], BosonSampling with microwave photons [586] or squeezed states [587,588], one using Gaussian measurements and the symmetry of the evolution under time reversal [589,590], and one time-bin loop-based [150]”
    Quote in the paperNot a substantial claim0 of 4 sources checked
    • cites [585] Broome, 2013, Science source
    • cites [586] Crespi, 2013, Nat. Photon. source
    • cites [587] Tillmann, 2013, Nat. Photon. source
    • cites [588] Aaronson, 2015, Phys. Rev. A source

      Checked before — its earlier verdict is held back until a new check runs.

  • It may state two separate claims as one.

    Premisecitation

    In 2016, McCutcheon et al. verified multipartite entanglement for photonic quantum networks, adopting two single-photon sources similar to Ref. [605] to produce three- and four-photon polarization encoded states.

    “In 2016, further improvements led McCutcheon et al. to a verification of multipartite entanglement for photonic quantum networks, adopting two single-photon sources similar to Ref. [605] to produce three-and four-photon polarization encoded states [606]”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites [606] Kruse, 2018, A detailed study of gaussian boson sampling source
    • cites [605] Hamilton, 2017, Phys. Rev. Lett. source
  • It may state two separate claims as one.

    Premisecitation

    Errors can occur all along the transmission due to imperfect gates or measurements, without the possibility of duplicating quantum states deterministically and with conditions much more sensitive than in the classical case.

    “In addition, errors can occurr all along the transmission due to imperfect gates or measurements, without the possibility of duplicating quantum states deterministically [316] and with conditions much more sensitive than in the classical case.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [316] Schuck, 2016, Nat. Commun. source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper may give no reason why it holds.

    Premisenone given

    The key resource for fulfillment of quantum networks is quantum entanglement, at the core of quantum dense coding, teleportation, entanglement purification, and entanglement swapping.

    “The key resource for its fulfillment is pro- blind quantum computing free-space QKD quantum repeater fiber-based QKD vided by quantum entanglement, at the core of quantum dense coding, teleportation, entanglement purification and entanglement swapping.”
    Quote in the paperNot a substantial claim
  • It may state two separate claims as one.

    Premisecitation

    The second generation of QRs employs HEG to reduce deterioration induced by losses and quantum error correction to correct gate errors.

    “The second generation of QRs (II) employs (i) HEG to reduce the deterioration induced by losses and (ii) quantum error correction (QEC) to correct gate errors [414,415].”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites [414] Briegel, 1998, Phys. Rev. Lett. source
    • cites [415] Muralidharan, 2016, Sci. Rep. source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    BosonSampling is equivalent to short-time evolutions of n excitations in an XY model of 2n spins.

    “recently BosonSampling was shown to be equivalent to short-time evolutions of n excitations in a XY model of 2n spins [586]”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [586] Crespi, 2013, Nat. Photon. source
  • It may state two separate claims as one.

    Premisecitation

    Further results with continuous-time quantum walks include observation of two-photon quantum correlations, the quantum Rabi model, Floquet topological insulators, growth of entanglement in spin chains, Majorana dynamics, Fano interference, and Bloch oscillations.

    “Further results were reported also with continuous-time QWs, with the observation of two-photon quantum correlations [17,532,535,538], quantum Rabi model [35], floquet topological insulators [536], growth of entanglement in spin chains [529], Majorana dynamics [539], Fano interference [540] and Bloch oscillations [541].”
    Quote in the paperNot a substantial claim0 of 6 sources checked
    • cites [17] Martínez-Herrero, 2010, Opt. Express source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [532] Buluta, 2009, Science source
    • cites [535] Gräfe, 2016, J. Opt. source
    • cites [538] Schreiber, 2011, Phys. Rev. Lett. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [35] Müller, 2014, Nat. Photon. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [536] Venegas-Andraca, 2012, Chapter: Quantum walks: a comprehensive review source

      Checked before — its earlier verdict is held back until a new check runs.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    Topological transitions have been the focus of a recent study carried out with orbital angular momentum encoding.

    “Topological transitions have been also the focus of a recent study carried out with orbital angular momentum encoding [54].”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [54] Bierdz, 2013, New J. Phys. source

      Checked before — its earlier verdict is held back until a new check runs.

  • It may state two separate claims as one.

    Premisecitation

    Analytical solutions for quantum many-body problems are available only for the simplest systems, making simulations necessary and heavily based on classical techniques such as Born-Oppenheimer or Hartree-Fock approximations, density-functional theory, or machine learning.

    “Indeed, analytical solutions for quantum many-body problems are available only for the simplest systems, thus making simulations necessary and heavily based on classical techniques such as the Born-Oppenheimer or Hartree-Fock approximations, the density-functional theory or even machine learning [622]”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [622] Pappa, 2012, Phys. Rev. Lett. source

      Checked before — its earlier verdict is held back until a new check runs.

  • It may state two separate claims as one.

    Premisecitation

    The hydrogen-molecule simulation approach consisted in encoding the state of the molecule on single-photon polarization qubits, simulating its evolution in the Born-Oppenheimer approximation, and estimating the energy of its eigenstates using the quantum phase estimation algorithm.

    “The approach adopted in the latter work consisted in encoding the state of the molecule on single-photon polarization qubits, simulating its evolution in the Born-Oppenheimer approximation and estimating the energy E of its eigenstates |ψ using the quantum phase estimation (QPE) algorithm [624], since e iEt/ |ψ = e i2πφ |ψ .”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites [624] McCutcheon, 2016, Nat. Commun. source
    • cites [630] Agresti, 2017, Pattern recognition techniques for boson sampling validation
  • It may state two separate claims as one.

    Premisecitation

    Currently there exist several protocols to validate BosonSampling, most of which have already been successfully demonstrated experimentally.

    “Currently there exist several protocols to validate BosonSampling, most of which have already been successfully demonstrated experimentally [122,149,241,474,516,581,582,595,[609][610][611][612][613]]”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [122,149,241,474,516,581,582,595,[609][610][611][612][613]

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.

    Premisecitation

    A new quantum approach based on variational methods and phase estimation was introduced and experimentally tested to approximate eigenvalues for ground and excited states.

    “Very recently, a new quantum approach based on variational methods and phase estimation was introduced [634], and experimentally tested, to approximate eigenvalues for ground and excited states.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [634] Dittel, 2018, Phys. Rev. Lett. source

      Checked before — its earlier verdict is held back until a new check runs.

  • It may state two separate claims as one.

    Premisecitation

    The belief in the quantum approach was supported in the 1990s by the first efficient quantum algorithms, which were rapidly followed by breakthrough discoveries applicable to quantum chemistry.

    “The belief in this quantum approach was indeed supported in the 90's by the first efficient quantum algorithms [316], which were rapidly followed by breakthrough discoveries applicable to quantum chemistry [3,624]”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites [316] Schuck, 2016, Nat. Commun. source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [3] Lloyd, 1996, Science source
    • cites [624] McCutcheon, 2016, Nat. Commun. source
  • It may state two separate claims as one.

    Premisecitation

    First experimental demonstrations in bulk optics were reported in 2009 for the simulation of anyons and for the calculation of the energy spectrum of a hydrogen molecule.

    “First experimental demonstrations in bulk optics were reported in 2009 for the simulation of anyons, fractional-statistics particles responsible for the fractional quantum Hall effect [628,629] and for the calculation of the energy spectrum of a hydrogen molecule [630]”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites [628] Viggianiello, 2017, Optimal photonic indistinguishability tests in multimode networks source

      Checked before — its earlier verdict is held back until a new check runs.

    • cites [629] Bentivegna, 2014, Int. J. Quantum Inf. source
    • cites [630] Agresti, 2017, Pattern recognition techniques for boson sampling validation
  • Probably not a substantial claim. The paper’s conclusions may not depend on it.

    Premisecitation

    An efficient certification protocol for photonic state preparation was introduced theoretically, allowing discrimination of relevant classes of Fock states and Gaussian/non-Gaussian pure states.

    “An efficient certification protocol for photonic state preparation was also introduced theoretically [614], allowing to discriminate relevant classes of Fock states and Gaussian/non-Gaussian pure states.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [614] Morimae, 2014, Phys. Rev. Lett. source

      Checked before — its earlier verdict is held back until a new check runs.

70 of 70
  • The authors state this as an assumption.

    The two highly plausible conjectures used by Aaronson and Arkhipov hold.

    “Assuming two highly plausible conjectures [559], Aaronson and Arkhipov showed that, should a classical polynomial-time algorithm exist capable to solve BosonSampling, it would imply the collapse of the polynomial hierarchy of complexity classes to the third level, a possibility of huge consequences widely believed to be unlikely.”
1 of 1

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

Each contradiction between two passages listed here was confirmed by an independent check.

  • Table 2 includes wavelengths outside its stated range

    Minor

    The caption specifies a range ending at 1550 nm, but the table includes a source with wavelengths of 1551, 1611 and 1625 nm.

  • A stated unitary maps both basis states to the same state

    Minor

    The displayed transformation maps both |0 and |1 to phase multiples of |0, so it cannot be unitary. It also cannot leave the stated two-qubit superposition unchanged up to a global phase.

  • Table 6 places reference 470 in 2016 rather than 2017

    Minor

    Reference 470 is listed under 2016 in Table 6, but its bibliography entry gives 2017.

  • Table 3 places reference 229 in 2016 rather than 2017

    Minor

    Reference 229 appears in the table's 2016 group, while its bibliography entry gives 2017.

4 of 4

Citations

Cites

Flagged first, then by citations

5 of the 690 references couldn’t be matched to a known paper.

Research works printed but not linked: 6

  1. Courtland, 2016, IEEE Spectrum, 53, 11
  2. Childs, 2005, J. Quantum Inf. Comput., 5, 456
  3. Morimae, 2015, Quantum Inf. Comput., 15, 200
  4. Gottesman, 2004, Quantum Inf. Comp., 4, 325
  5. Leverrier, 2015, Quantum Inf. Comput., 15, 0489
  6. Aaronson, 2014, Quantum Inf. Comput., 14, 1383

Cited by

Sorted by citations

Metadata

Authors
Flamini, F., Spagnolo, N., & Sciarrino, F.
Affiliations
Sapienza University of Rome (IT)
Corresponding author
  • Flamini, Fulvio
  • Spagnolo, Nicolò
  • Sciarrino, Fabio
Venue
Reports on Progress in Physics
Published
2018-11-13
Volume
82
Issue
1
Pages
016001
ISSN
  • 0034-4885 (ISSN-L)
  • 1361-6633
OpenAlex
W2793137815
Cited by
770
References
690
Citations by year
2026: 97 · 2025: 111 · 2024: 124 · 2023: 98 · 2022: 93 · 2021: 116 · 2020: 75 · 2019: 50 · 2018: 6
FWCI
29.29
Type
journal article
Language
en
Open access
Locations
  • Reports on Progress in Physics (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • IRIS Research product catalog (Sapienza University of Rome) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • FP7 Ideas: European Research Council (307783)
  • H2020 Future and Emerging Technologies (641039)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
Keywords
photonic quantum information processing, single photons, quantum information, quantum communication, quantum simulation, quantum computing, quantum optics

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

A language model drew the claims from the paper on 2026-11-10, under version 3 of the claim definition (model deepseek-v4.1-flash, prompt extract-v3).

A second model labelled each claim on 2026-11-10 (model jev-1.13-20260917, definition revision gold-guideline-v0.2).

Cited sources are checked with a language model’s help (gpt-6-sol).

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review