Photonic quantum information processing: a review

In the paper

“Indeed, accurate control over these qubits for universal manipulation is possible with relatively low technological requirements when compared to other encoding schemes [37,122].”

What the sources say

• ?Could not verify

  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)

  cites [37] Kaiser, 2014, Opt. Commun. sourceExperimental — accuracy not yet measured
• Disputed

  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.

  cites [122] Goyal, 2013, Sci. Rep. sourceExperimental — accuracy not yet measured

In the paper

“In the same year, Zhang et al. reported a faulttolerant implementation of quantum key distribution (see Section 2.2.3) with polarization encoding, capable to account for bit-flip errors and collective rotation of the polarization state, without the need for a calibration of the reference frame [387].”

What the sources say

• Disputed

  Split into 2 atoms — 0 confirmed, 0 partially supported, 1 disputed, 0 misattributed, 1 unverifiable. Expand the claim to see per-atom verdicts.

  Checked by a reasoning model — may be wrong.

  cites [387] Pfaff, 2014, Science sourceExperimental — accuracy not yet measured

In the paper

“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].”

What the sources say

• Partly supported

  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)

  cites [67] Giovannini, 2011, Phys. Rev. A sourceExperimental — accuracy not yet measured
• ?Not checked — no full text of the sourcecites [81] Forbes, 2016, Adv. Opt. Photonics source
• Partly supported

  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)

  cites [86] Beltran, 2017, J. Opt. sourceExperimental — accuracy not yet measured
• Partly supported

  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)

  cites [104] Leonhard, 2017, Phys. Rev. A sourceExperimental — accuracy not yet measured
• Partly supported

  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)

  cites [105] Jabir, 2017, Sci. Rep. sourceExperimental — accuracy not yet measured

In the paper

“However, their cost, the selectivity in wavelength and the hardness to generate qudits still limit their applicability [49].”

What the sources say

• ?Could not verify

  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)

  cites [49] Steinlechner, 2017, Nat. Commun. sourceExperimental — accuracy not yet measured

In the paper

“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].”

What the sources say

• ?Could not verify

  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)

  cites [20] Bliokh, 2015, Nat. Photon. sourceExperimental — accuracy not yet measured
• Not checked yet

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

  cites [123] Ding, 2013, Nat. Commun. source

In the paper

“Moreover, photonic 'flying' qubits encoded in OAM can be prepared in alignment-free states [67,95], being insensitive to rotation of the reference frame.”

What the sources say

• Partly supported

  The Introduction (page unavailable) says single-photon qubits can be encoded in OAM, supporting that part of the claim. The paper studies resilience to transverse obstructions that mimic optical misalignments, not insensitivity to rotation of the reference frame; our copy does not establish the claimed alignment-free property. (LLM, conf=0.84)

  cites [67] Giovannini, 2011, Phys. Rev. A sourceExperimental — accuracy not yet measured
• Partly supported

  The Introduction describes OAM-encoded photonic qubits as candidates for free-space quantum communication, and Section IV models photons encoded in OAM modes. Neither passage establishes that these qubits can be prepared in alignment-free states or are insensitive to rotation of the reference frame; the paper instead examines distortion from atmospheric turbulence. Page numbers are unavailable in our copy. (LLM, conf=0.83)

  cites [95] Ibrahim, 2013, Phys. Rev. A sourceExperimental — accuracy not yet measured

In the paper

“Together, the three pairs of states form a set of mutually unbiased bases encoded in polarization [15], at the core of several applications that we will overview in the following sections.”

What the sources say

• ?Could not verify

  The supplied passage from “II. Elements in Hybrid Quantum Circuits—B. Spins” discusses spin qubits, not polarization-state bases. Further searches for “mutually unbiased” and polarization-state pairs found no passage in our copy addressing whether three pairs of polarization states form mutually unbiased bases; the returned passages have no page numbers. (LLM, conf=0.75)

  cites [15] Xiang, 2013, Rev. Mod. Phys. sourceExperimental — accuracy not yet measured

In the paper

“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].”

What the sources say

• ?Could not verify

  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)

  cites [46] Vallone, 2009, Phys. Rev. A sourceExperimental — accuracy not yet measured
• ?Not checked — no full text of the sourcecites [51] Kwiat, 1997, J. Mod. Opt. source
• ?Could not verify

  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)

  cites [54] Bierdz, 2013, New J. Phys. sourceExperimental — accuracy not yet measured

In the paper

“Moreover, its resilience to noise acting on polarization, such as depolarizing media or decoherence and mode dispersion, makes time-bin a good candidate for applications in state teleportation [131][132][133], quantum communication and quantum key distribution, both free-space and in-fiber [134][135][136][137].”

What the sources say

• ?Could not verify

  The paper describes path-encoded qubits in waveguides (p. 1) and broadly mentions enhanced communication security (p. 1). Its Discussion (p. 4) proposes quantum-information applications, but the passages found do not address time-bin encoding, resistance to polarization noise, or its suitability for teleportation and free-space or fiber communication. Searches for those terms found no supporting passage. (LLM, conf=0.76)

  cites [131] Matthews, 2009, Nat. Photon. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The introductory section mentions prior manipulation of time-bin qubits, and the References list a quantum key distribution experiment. Neither passage addresses time-bin encoding’s resilience to polarization noise or its suitability for teleportation and free-space or in-fiber communication; searches for those properties found no supporting passage in our copy. (LLM, conf=0.74)

  cites [132] Shadbolt, 2012, Nat. Photon. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Universal Linear Optics section (pp. 1–2) discusses polarization and path encoding and photonic quantum gates, but not the claimed advantage of time-bin encoding. Searches for time-bin encoding, polarization-noise resilience, teleportation, and quantum key distribution found no passage in our copy addressing that claim. (LLM, conf=0.76)

  cites [133] Carolan, 2015, Science sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Abstract describes polarization-encoded information and mentions quantum key distribution as a possible application of integrated waveplates. Neither the supplied passages nor searches for time-bin encoding, polarization noise, and free-space or fiber communication found a passage addressing time-bin resilience or the claimed applications of time-bin encoding. (LLM, conf=0.75)

  cites [134] Corrielli, 2014, Nat. Commun. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The paper’s on-chip interference section (page unavailable) discusses path- and colour-entangled photon pairs; its off-chip HOM measurements discuss matching photon polarisation, not time-bin encoding’s resilience to polarisation noise. Searches for time-bin encoding and quantum key distribution found no passage in our copy linking that resilience to teleportation, communication, or free-space and fibre applications. (LLM, conf=0.76)

  cites [135] Silverstone, 2014, Nat. Photon. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The chip-characterization passage (section “2 ' C”; page unavailable) describes controlling photon polarization and arrival time for a Hong–Ou–Mandel experiment, not time-bin encoding. Searches for time-bin resilience, polarization noise, teleportation, and free-space or fiber quantum communication found no passage addressing the attributed claim. (LLM, conf=0.77)

  cites [136] Jin, 2014, Phys. Rev. Lett. sourceExperimental — accuracy not yet measured
• Partly supported

  The Discussion and Outlook says the source could enable quantum-key-distribution devices based on time-energy entanglement. It does not say that time-bin encoding resists polarization noise or establish its suitability for free-space and fiber communication; the only explicit time-bin mention is the title of another work in the References. The teleportation citations attach to a different part of the citing sentence. (LLM, conf=0.84)

  cites [137] Harris, 2014, Phys. Rev. X sourceExperimental — accuracy not yet measured

In the paper

“In this sense, single photons can also turn effective as mediators between distant matter qubits, as already reported with single trapped ytterbium ions [371], quantum dots [372], rare-earth-ion doped crystals [113] or diamond spin qubits [373].”

What the sources say

• ?Could not verify

  The citation [113] is attached to the rare-earth-ion-doped-crystal example. Our copy’s experimental-system passage (labeled Abstract; page unavailable) describes PPKTP crystals used to generate squeezed optical states, not rare-earth-ion-doped matter qubits. Searches for rare-earth-doped crystals and single-photon mediation found no passage addressing that example. (LLM, conf=0.76)

  cites [371] Yukawa, 2008, Phys. Rev. A sourceExperimental — accuracy not yet measured
• ?Could not verify

  Citation [113] is attached specifically to the example of rare-earth-ion-doped crystals. The Abstract describes teleportation of nonclassical wave packets of light, and the Additional information describes optical crystals used in the apparatus; neither addresses photons mediating between distant matter qubits in rare-earth-ion-doped crystals. Searches for rare-earth ions, crystals, and matter qubits found no supporting passage in our copy. (LLM, conf=0.76)

  cites [372] Lee, 2011, Science sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Methods section describes single photons used for quantum key distribution across a free-space link, not as mediators between matter qubits. Searches for rare-earth-ion-doped crystals and photon–matter entanglement found no passage in our copy addressing the part of the sentence cited to this paper. (LLM, conf=0.76)

  cites [113] Sit, 2017, Optica sourceExperimental — accuracy not yet measured

In the paper

“while in 2006 Chen et al. used single photons, entangled in polarization and time, to compensate for errors induced by a collective rotation of the polarization [42].”

What the sources say

• ?Could not verify

  The Introduction and Conclusion describe polarization-dependent propagation and localization in waveguide arrays, not a 2006 experiment by Chen et al. Searches for Chen, polarization–time entanglement, and compensation for collective polarization rotation found no passage addressing the claim. (LLM, conf=0.76)

  cites [42] Rojas-Rojas, 2014, Phys. Rev. A sourceExperimental — accuracy not yet measured

In the paper

“This challenge already counts first demonstrations in Austria [309], China [311,312], Japan [313,314], Switzerland [310] and USA [308,315] (see Table 4).”

What the sources say

• Not checked yet

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

  cites [309] Li, 2016, Opt. Express source
• ?Could not verify

  The Abstract discusses photonic quantum-information demonstrations, and the Discussion describes an integrated single-photon detector and its potential for quantum communication. Neither section reports first demonstrations of quantum networks in the named countries; searches for quantum-network demonstrations and those countries found no such passage. (LLM, conf=0.76)

  cites [311] Akhlaghi, 2015, Nat. Commun. sourceExperimental — accuracy not yet measured
• ?Not checked — no full text of the sourcecites [312] Cavalier, 2011, AIP Adv. source
• ?Not checked — no full text of the sourcecites [313] Ferrari, 2015, Appl. Phys. Lett. source
• Not checked yet

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

  cites [314] Kahl, 2015, Sci. Rep. source

In the paper

“Furthermore, recent developments have shown the capability to introduce active reconfigurable elements, thus allowing the fabrication of multi-purpose devices [122,227,231].”

What the sources say

• ?Could not verify

  The Results describe sorting optical modes, and the Discussion describes a scheme for teleporting photonic qudits. Neither passage addresses active reconfigurable elements or the fabrication of multi-purpose devices; searches for those terms and for programmable optical devices found no supporting passage in our copy. (LLM, conf=0.76)

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

  Section II, “Layout of the Source” (page not provided), describes a reconfigurable coupler and a thermal phase shifter that dynamically controls the device, alongside interchangeable components producing different output states. This supports the claim that active reconfiguration enables a device with multiple uses. (LLM, conf=0.91)

  cites [227] Atzeni, 2018, Optica source
• ?Could not verify

  The paper describes integrated photonic circuits and couplers whose properties are set by lithographic design (pp. 1–2). Its reported devices include interference circuits and a CNOT gate, but the passages found do not address active reconfigurable elements or devices that can be repurposed after fabrication. Searches for reconfiguration, active control, and phase shifters found no supporting passage. (LLM, conf=0.75)

  cites [231] Politi, 2008, Science sourceExperimental — accuracy not yet measured

In the paper

“The possibility of writing circular cross-sections and the low birefringence of silica allow for waveguides with low dependance on polarization [16,36,123].”

What the sources say

• ?Could not verify

  The discussion of optical fibers in “Kerr effect and linear interference” (p. 55) concerns squeezing and light propagation, not laser-written waveguides. Searches for femtosecond laser writing, circular cross-sections, silica birefringence, and polarization dependence found no passage addressing the claimed relationship. (LLM, conf=0.76)

  cites [16] Braunstein, 2014, Rev. Mod. Phys. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Methods (Device fabrication) describe silicon wire waveguides made by electron-beam lithography and plasma etching; the Discussion mentions silica waveguides only in connection with hybrid integration. Searches for femtosecond laser writing, circular cross-sections, and low-birefringence silica found no passage addressing the claimed reason for low polarization dependence. (LLM, conf=0.72)

  cites [36] Matsuda, 2012, Sci. Rep. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Methods discuss polarized photons coupled into optical fibres, and the Results discuss preserving photon polarization during storage in an atomic ensemble (page numbers unavailable). Searches for femtosecond laser writing, circular waveguide cross-sections, silica birefringence, and polarization dependence found no passage addressing the attributed claim. (LLM, conf=0.76)

  cites [123] Ding, 2013, Nat. Commun. sourceExperimental — accuracy not yet measured

In the paper

“To this aim, proof-of-principle demonstrations of this scheme have been reported in the last decade, where two synchronized independent sources generated entangled photon pairs for entanglement swapping and nonlocality tests [319].”

What the sources say

• ?Could not verify

  The Introduction and Conclusions describe diamond-integrated single-photon detectors, not demonstrations using two synchronized independent sources. Searches for entanglement swapping, entangled photon pairs, and nonlocality tests found no passage addressing the attributed claim. (LLM, conf=0.76)

  cites [319] Rath, 2015, Light Sci. Appl. sourceExperimental — accuracy not yet measured

In the paper

“Deterministic sources include trapped ions [205], colour centers [203] and quantum dots (QD) [216] with GaAs [217], InGaAs [29,[191][192][193]199], InAsP NW [201,202] or InAs/GaAs [195][196][197][198].”

What the sources say

• Supported

  The citation is attached to the InGaAs quantum-dot example, not the other source types or materials in the sentence. The paper describes an InGaAs quantum-dot layer in its device and reports on-demand single-photon generation from it (Abstract; page not provided). (LLM, conf=0.94)

  cites [205] Somaschi, 2016, Nat. Photon. source
• ?Not checked — no full text of the sourcecites [203] Olbrich, 2017, Appl. Phys. Lett. source
• Supported

  The citation is attached specifically to “colour centers,” not to the other source types or materials in the sentence. The Introduction describes silicon-vacancy centers in diamond as single-photon emitters, and the paper reports a single-photon source based on them. This supports the cited example, though it does not establish deterministic, on-demand emission. (LLM, conf=0.88)

  cites [216] Benedikter, 2017, Phys. Rev. Appl. source

In the paper

“One challenge for implementing dense conding is represented by the BM stage, since achieving a never-failing BM is impossible using only linearoptical elements such as beam splitters, phase shifters, detectors and ancillary particles [323].”

What the sources say

• ?Could not verify

  Section 3.4 describes entanglement-based QKD and polarization measurements, while sections 3.1 and 3.6 describe optical components used in other QKD setups; no page numbers are available for these passages. Searches for Bell-state measurement, dense coding, and linear-optical measurement limits found no passage addressing whether a never-failing Bell measurement is impossible, including with ancillary particles. (LLM, conf=0.76)

  cites [323] Peev, 2009, New J. Phys. sourceExperimental — accuracy not yet measured

In the paper

“So far, the maximum channel capacity (1.665 ± 0.018) has been reported in Ref. [327], beating the limit of log 2 3 ∼ 1.585 bits obtainable by means of only linear optics and entanglement, due to the impossibility of perfectly discriminating all four Bell states in this case.”

What the sources say

• ?Could not verify

  The Results section reports processing times and throughput for a QKD-based distributed-storage system, not a channel capacity of 1.665 ± 0.018 bits. Searches for that figure and for the linear-optics, entanglement, and Bell-state limit found no passage addressing the claim. The indexed passages provide no page numbers. (LLM, conf=0.76)

  cites [327] Fujiwara, 2016, Sci. Rep. sourceExperimental — accuracy not yet measured

In the paper

“however, the use of QEC in place of HEP speeds up the process by avoiding the time delays due to non-adjacentnodes signalling [416].”

What the sources say

• Partly supported

  The discussion of entanglement purification in section 1, “Storage Time” (page unavailable), says purification adds complexity and causes a slowdown. It does not say that replacing heralded entanglement purification with quantum error correction speeds up the process, or that the benefit comes from avoiding signalling delays between non-adjacent nodes. (LLM, conf=0.82)

  cites [416] Sangouard, 2011, Rev. Mod. Phys. sourceExperimental — accuracy not yet measured

In the paper

“Recently, Ewert et al. achieved similar results using only locally-prepared Bell states, instead of more demanding cluster states non-locally entangled between nodes of a segment [424].”

What the sources say

• ?Could not verify

  The Implementation section (p. 4) discusses Bell-state preparation and analysis for a trapped-ion repeater. Our copy does not address Ewert et al.’s results or compare locally prepared Bell states with cluster states; searches for those terms found no supporting passage. (LLM, conf=0.76)

  cites [424] Sangouard, 2009, Phys. Rev. A sourceExperimental — accuracy not yet measured

In the paper

“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”

What the sources say

• ?Could not verify

  The Abstract discusses two-photon N00N-state Bloch oscillations and describes photonic circuits as potential quantum simulators. The References list experimental boson-sampling papers, but neither those passages nor the passages retrieved for “polynomial hierarchy” and “Aaronson Arkhipov” address whether a classical polynomial-time BosonSampling algorithm would collapse the hierarchy to its third level. No page numbers are available in our copy. (LLM, conf=0.75)

  cites [559] Lebugle, 2015, Nat. Commun. sourceExperimental — accuracy not yet measured

In the paper

“For disordered systems a further distinction can be made: dynamic disorders are associated to diffusive transports, where interference no longer affects the evolution and a classical-like spreading is found for a distance proportional to √ T , while static disorders lead to a complete halting in the process, a phenomenon known as Anderson localization [546,547]”

What the sources say

• Partly supported

  Split into 2 atoms — 0 confirmed, 2 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.

  cites [546] Kitagawa, 2012, Nat. Commun. sourceExperimental — accuracy not yet measured
• Not checked yet

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

  cites [547] Pitsios, 2017, Nat. Commun. source

In the paper

“Indeed, QEC with qubit-repetition codes and Calderbank-Shor-Steane codes [316] were shown to be effective against imperfect quantum memories operation, photon losses and gate errors [421].”

What the sources say

• ?Could not verify

  The Abstract and Discussion describe on-chip quantum interference and superconducting single-photon detectors, not quantum error correction. Searches for repetition and Calderbank–Shor–Steane codes, imperfect quantum memories, photon losses, and gate errors found no passage reporting that those codes were effective against those errors. No page numbers are available in our copy. (LLM, conf=0.75)

  cites [316] Schuck, 2016, Nat. Commun. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The purification discussion (section labeled “Abstract,” page unavailable) describes entanglement purification using CNOT gates, not qubit-repetition or Calderbank–Shor–Steane error-correction codes. The loss analysis (section labeled “P E P S P E P Bob,” page unavailable) accounts for photon loss and says losses reduce success rates; it does not establish that those codes are effective against memory imperfections, photon loss, or gate errors. Searches for the codes, memory imperfections, and gate errors found no supporting passage. (LLM, conf=0.76)

  cites [421] Kok, 2003, Phys. Rev. A sourceExperimental — accuracy not yet measured

In the paper

“The computational complexity of the problem is rooted in the hardness [562] of evaluating the permanent in the scattering amplitudes [563]”

What the sources say

• ?Could not verify

  The Results (Quantum experiments; page unavailable) discuss two-photon correlations and suppressed output states, but do not address the hardness of evaluating scattering-amplitude permanents. Searches for “permanent,” “Boson Sampling,” and computational complexity found no passage making the attributed point; the only exact match for “permanent” concerns permanently inscribed structures in Methods. (LLM, conf=0.75)

  cites [562] Weimann, 2016, Nat. Commun. sourceExperimental — accuracy not yet measured
• Partly supported

  On p. 2, the paper gives a two-photon coincidence amplitude as a sum of products of scattering-matrix entries—the form of a 2×2 permanent. It does not discuss BosonSampling, larger permanents, or computational hardness, so it supports the amplitude connection but not the complexity claim. (LLM, conf=0.78)

  cites [563] Bromberg, 2009, Phys. Rev. Lett. sourceExperimental — accuracy not yet measured

In the paper

“static disorders lead to a complete halting in the process, a phenomenon known as Anderson localization [546,547] where the wave packet localizes on the initial sites of the lattice [518,530,534,548]”

What the sources say

• Partly supported

  The Results (pp. 2–3) describe a photon initialized near a topological boundary whose bound-state component remains near that boundary; they also say these bound states are robust to a static disordered potential. They do not say static disorder halts transport or identify the observed localization as Anderson localization. The localization reported here depends on the topological boundary, not disorder. (LLM, conf=0.83)

  cites [546] Kitagawa, 2012, Nat. Commun. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Results > Theory section mentions Anderson localisation only as a phenomenon previously simulated with entangled photons. Neither that passage nor the searched passages state that static disorder halts transport or confines a wave packet to its initial lattice sites (searched: static disorder, transport, wave packet, initial sites). (LLM, conf=0.72)

  cites [547] Pitsios, 2017, Nat. Commun. sourceExperimental — accuracy not yet measured
• ?Not checked — no full text of the sourcecites [518] Inamori, 2002, Algorithmica source
• ?Could not verify

  The paper’s sections on polarized-photon communication and the satellite QKD protocol concern transmission between satellites and the ground, not transport through a disordered lattice. Searches for Anderson localization, static disorder, and wave-packet localization found no passage addressing the claim. (LLM, conf=0.76)

  cites [530] Vallone, 2015, Phys. Rev. Lett. sourceExperimental — accuracy not yet measured
• ?Not checked — no full text of the sourcecites [534] Aspuru-Guzik, 2012, Nat. Phys. source
• ?Not checked — no full text of the sourcecites [548] Schwartz, 2007, Nature source

In the paper

“We have shortly described in Section 2.2.2 the first experimental demonstrations of verifiable blind quantum computing, performed using polarization qubits represented by multi-photon states generated via parametric down-conversion [437,444,455,456]”

What the sources say

• ?Could not verify

  The Results section discusses preparing single-photon states for an all-photonic quantum repeater, and the Discussion mentions quantum computation only in passing (pages unavailable). Searches for verifiable blind quantum computing and for experimental demonstrations using polarization qubits, multi-photon states, and parametric down-conversion found no passage addressing the claim. (LLM, conf=0.75)

  cites [437] Azuma, 2015, Nat. Commun. sourceExperimental — accuracy not yet measured
• ?Could not verify

  Section 5, “Physical implementation” (page unavailable), discusses a proposed quantum-repeater implementation using single-photon time-bin qudits, not demonstrations of verifiable blind quantum computing. Searches for verifiable blind quantum computing and for multi-photon polarization qubits generated by parametric down-conversion found no passage addressing the attributed claim. (LLM, conf=0.76)

  cites [444] Muralidharan, 2017, New J. Phys. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Introduction and Section IV describe a blind quantum computation protocol and its security analysis, not an experimental demonstration. Searches for polarization qubits, multi-photon states, and parametric down-conversion found no passage in our copy addressing the claimed experimental setup. (LLM, conf=0.77)

  cites [455] Arrighi, 2006, Int. J. Quantum Inf. sourceExperimental — accuracy not yet measured
• ?Could not verify

  Section 1.2 (p. 3) presents a protocol for blind quantum computation and an authentication technique, while Protocol 4 (p. 13) describes a verification procedure. Our copy does not report an experimental demonstration or describe polarization qubits, multi-photon states, or parametric down-conversion (searched for those terms and experimental implementation). (LLM, conf=0.76)

  cites [456] Broadbent, 2009, Universal blind quantum computation sourceExperimental — accuracy not yet measured

In the paper

“highlighting for instance twophoton quantum correlations [532,538] with bosonicfermionic transitions [16,17]”

What the sources say

• ?Not checked — no full text of the sourcecites [532] Buluta, 2009, Science source
• Partly supported

  The introduction (indexed under “Abstract”; page unavailable) reports a prior simultaneous two-particle quantum walk displaying intrinsic quantum correlations. It does not describe bosonic–fermionic transitions, and the paper’s own experiment kept multiphoton events negligible. (LLM, conf=0.86)

  cites [538] Schreiber, 2011, Phys. Rev. Lett. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The cited paper discusses bosonic commutation relations in “The quadratures of the quantized field” (p. 4) and photon-number correlations in “Continuous-variable entanglement” (p. 12). The passages found by searching for bosonic–fermionic transitions and multiphoton quantum walks do not address transitions between bosonic and fermionic behavior in quantum walks. (LLM, conf=0.73)

  cites [16] Braunstein, 2014, Rev. Mod. Phys. sourceExperimental — accuracy not yet measured
• ?Could not verify

  Sections 3–5 discuss the angular-momentum decomposition of nonparaxial light beams, not multi-photon quantum walks. Searches for two-photon correlations and bosonic–fermionic transitions found no passage in our copy addressing the attributed claim. (LLM, conf=0.76)

  cites [17] Martínez-Herrero, 2010, Opt. Express sourceExperimental — accuracy not yet measured

In the paper

“This feature has suggested multiport photonic interferometers as good candidates for the implementation of quantum simulators or even general-purpose quantum computers [586,591,592]”

What the sources say

• Partly supported

  The discussion on p. 1 says linear-optical interferometers can be universal for quantum computation if adaptive measurements are available, and p. 2 describes multimode chips as promising milestones toward that goal. The paper demonstrates boson sampling, but does not explicitly propose these interferometers as quantum simulators; general-purpose computing also depends on the stated measurement condition. (LLM, conf=0.79)

  cites [586] Crespi, 2013, Nat. Photon. sourceExperimental — accuracy not yet measured
• Not checked yet

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

  cites [591] Oszmaniec, 2018, Classical simulation of photonic linear optics with lost particles source
• Not checked yet

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

  cites [592] Shchesnovich, 2015, Phys. Rev. A source

In the paper

“In principle, QRs allow to improve the fidelity of transmission with QRs can be grouped in three main classes, according to the technique adopted for correcting propagation errors [401], as summarized schematically in Table 5.”

What the sources say

• ?Could not verify

  The passage on robust quantum communication (section labeled Abstract; page unavailable) names quantum error-correction codes and decoherence-free subspaces, but does not discuss quantum repeaters. Searches for repeater classes and error-correction classifications found no passage supporting the claimed three-class grouping. (LLM, conf=0.76)

  cites [401] Zhang, 2006, Phys. Rev. A sourceExperimental — accuracy not yet measured

In the paper

“and enabling the possibility of simulating relevant physical processes [540,541]”

What the sources say

• Partly supported

  Section B, “Implementing the quantum walk” (page unavailable), says that sums of local Hamiltonian terms are a tool for simulating physical quantum systems. It does not discuss n = 2 photon states or establish that those states enable such simulations. (LLM, conf=0.86)

  cites [540] Childs, 2003, Exponential algorithmic speedup by a quantum walk sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Introduction (p. 1) describes quantum walks as a model of universal quantum computation, and the Universal Gate Set section (pp. 3–4) describes gates implemented by scattering on graphs. Neither addresses whether two-photon states enable simulation of physical processes; searches for photons, two-photon states, and physical-process simulation found no supporting passage. (LLM, conf=0.74)

  cites [541] Childs, 2009, Phys. Rev. Lett. sourceExperimental — accuracy not yet measured

In the paper

“Nevertheless, in 2017 new classical algorithms have been proposed to solve Boson-Sampling for systems with dimensionality larger than that allowed by near-term technological advances [564,565,572,573,593,594]”

What the sources say

• ?Not checked — no full text of the sourcecites [564] Segev, 2013, Nat. Photon. source
• ?Not checked — no full text of the sourcecites [565] Abouraddy, 2012, Phys. Rev. A source
• ?Not checked — no full text of the sourcecites [572] Morandotti, 1999, Phys. Rev. Lett. source
• ?Not checked — no full text of the sourcecites [573] Pertsch, 1999, Phys. Rev. Lett. source
• ?Could not verify

  The section “From permanents to immanants” discusses technological limits on scaling BosonSampling, but does not describe classical algorithms that solve larger instances. Searches for 2017 algorithms and classical simulation beyond near-term experimental sizes found no passage addressing the claim. (LLM, conf=0.76)

  cites [593] Tillmann, 2015, Phys. Rev. X sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Introduction (page not provided) discusses the difficulty of classical BosonSampling and the conditions under which an efficient classical algorithm would have complexity-theoretic implications. Searching for classical algorithms and experimental scale found no passage about algorithms proposed in 2017 or systems larger than near-term technology could support; this 2015 paper does not substantiate that claim. (LLM, conf=0.78)

  cites [594] Leverrier, 2015, Quantum Inf. Comput. sourceExperimental — accuracy not yet measured

In the paper

“Since then, several investigations have been performed to study the scalability in imperfect conditions, such as in the presence of losses [570-573], partial distinguishability [574,575] and generic experimental errors [571,[576][577][578]”

What the sources say

• ?Could not verify

  The discussion on p. 4 mentions Boson sampling only as a possible route to computational advantage for optical transport simulators. The scalability discussion on p. 1 concerns the authors’ cavity-network apparatus, not BosonSampling under losses, partial distinguishability, or generic experimental errors. Searches for those conditions found no passage addressing the attributed claim. (LLM, conf=0.76)

  cites [570] Viciani, 2015, Phys. Rev. Lett. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Abstract and Results discuss quantum transport in binary trees and hypercubes, including losses, disorder, and dephasing—not the scalability of BosonSampling. Searches for BosonSampling, partial distinguishability, and generic experimental errors found no passage addressing the attributed claim. Page numbers were not available in our copy. (LLM, conf=0.76)

  cites [571] Novo, 2016, Sci. Rep. sourceExperimental — accuracy not yet measured
• ?Not checked — no full text of the sourcecites [572] Morandotti, 1999, Phys. Rev. Lett. source
• ?Not checked — no full text of the sourcecites [573] Pertsch, 1999, Phys. Rev. Lett. source
• ?Not checked — no full text of the sourcecites [574] Dreisow, 2009, Phys. Rev. Lett. source
• Partly supported

  The Abstract and Discussion say photon loss limits the scaling of integrated photonic circuits, and the Discussion connects the device’s multiphoton interference to boson sampling. The paper does not study BosonSampling scalability under partial distinguishability or generic experimental errors; its discussion of those imperfections concerns this device’s performance, not a scalability analysis. (LLM, conf=0.82)

  cites [575] Metcalf, 2013, Nat. Commun. sourceExperimental — accuracy not yet measured
• ?Not matched

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

  cites [571,[576][577][578]

In the paper

“On the other hand, Aaronson and Arkhipov have shown [559] that BosonSampling, i.e. the simulation of many-boson statistics, is indeed capable to provide a concrete evidence of this computational advantage.”

What the sources say

• ?Could not verify

  The Abstract describes integrated photonic circuits as candidates for quantum simulators that can explore processes beyond classical limits, and the References list boson-sampling experiments. Neither passage says that BosonSampling provides evidence of a computational advantage or reports a result by Aaronson and Arkhipov. Searches for those names and for the claimed computational advantage found no supporting passage in our copy. (LLM, conf=0.76)

  cites [559] Lebugle, 2015, Nat. Commun. sourceExperimental — accuracy not yet measured

In the paper

“Among discrete-time QWs, for instance, we have discussed the experimental investigation on the transition between fermionic and bosonic states [16], enabled by polarization-encoded symmetric (bosonic) or anti-symmetric (fermionic) wave functions.”

What the sources say

• ?Could not verify

  The passages in “F. Polarization and spin representations” (p. 10) discuss encoding continuous quantum information in optical polarization variables, not discrete-time quantum walks. Searches for fermionic and bosonic quantum walks and for polarization-encoded symmetric or antisymmetric wave functions found no passage addressing the claimed experiment. (LLM, conf=0.75)

  cites [16] Braunstein, 2014, Rev. Mod. Phys. sourceExperimental — accuracy not yet measured

In the paper

“In 2011, Ma et al. used two polarization entangled photon pairs to study the process of frustration in a tetramer, a system with four spin-1/2 particles, observing the transition between localized and resonating-valence-bond states at varying Heisenberg interaction strength [632,633]”

What the sources say

• ?Could not verify

  The Results section (‘The certification test’) and Methods sections discuss fidelity bounds and certification measurements, not the tetramer experiment. Searches for Ma et al., frustration, resonating-valence-bond states, polarization-entangled photon pairs, and Heisenberg interactions found no passage in our copy addressing the claimed observation. (LLM, conf=0.76)

  cites [632] Aolita, 2015, Nat. Commun. sourceExperimental — accuracy not yet measured
• ?Could not verify

  The Abstract discusses many-body interference on hypercubes, and section 4.2 discusses bosonic transformations on generalized hypercube graphs; neither addresses Ma et al.’s tetramer experiment. Searches for Ma et al., polarization-entangled photon pairs, frustration, and the localized-to-resonating-valence-bond transition found no passage about the claimed study. Page numbers were not available in our copy. (LLM, conf=0.76)

  cites [633] Dittel, 2017, Quantum Sci. Technol. sourceExperimental — accuracy not yet measured

In the paper

“Related to the capability of producing alignment-free states, hybrid encoding between polarization and OAM can be exploited to enhance the sensitivity to angular rotations [65,106].”

What the sources say

• Not checked yet

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

  cites [65] Karimi, 2009, Appl. Phys. Lett. source
• Not checked yet

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

  cites [106] Farïas, 2015, Sci. Rep. source

In the paper

“Moreover, polarization qubits are increasingly coupled to other degrees of freedom of single photons, such as orbital angular momentum [33,34,38,39], path [18,19,22,25,40,41], time-energy [42,43] and all together [44] in socalled hyper-entangled states [45], efficient resources for quantum computation, communication and work extraction protocols.”

What the sources say

• Not checked yetcites [45] Nagali, 2009, Phys. Rev. Lett. source

In the paper

“Photonic states present several advantages with respect to other platforms, due to the lack of interaction with the external environment that thus corresponds to long decoherence times.”

In the paper

“OAM states represent a fundamental resource for several applications in quantum information.”

In the paper

“First, it is suitable for integrated photonic devices, where photons can be generated, manipulated and measured without the need for external encoding devices.”

In the paper

“Polarization qubits represent a common and practical way to encode quantum information for most applications, thanks to the ease of generation (see Section 1.2.1) and to the availability of effective tools for manipulation.”

In the paper

“Correspondingly, single photons will carry quantized values of OAM given by L = q [46].”

What the sources say

• Not checked yet

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

  cites [46] Vallone, 2009, Phys. Rev. A source

In the paper

“An efficient tool is provided by spiral wave plates [47,48], whose thickness increases in a transparent spiral structure so that light experiences a phase gradient during the propagation.”

What the sources say

• Not checked yet

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

  cites [47] Orieux, 2015, Phys. Rev. Lett. source
• Not checked yet

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

  cites [48] Chen, 2006, Phys. Rev. Lett. source

In the paper

“Applications offered by the QP [39,49,64,65,67] include the generation of intra-photon entanglement between polarization and OAM degrees of freedom by producing states of the form”

What the sources say

• Not checked yet

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

  cites [39] Bhatti, 2015, Phys. Rev. A source
• Not checked yet

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

  cites [49] Steinlechner, 2017, Nat. Commun. source
• ?Not checked — no full text of the sourcecites [64] Dholakia, 2011, Nat. Photon. source

In the paper

“As we discuss in the next sections, this feature is particularly relevant in applications such as longdistance quantum communications.”

In the paper

“Once generated and analyzed, OAM states can be manipulated with high degree of control to encode quantum information in the infinite OAM Hilbert space spanned by l ∈ Z, i.e. in the qudits ψ = l α l |l [34,62,64,66,[75][76][77][78][79][80].”

What the sources say

• Not checked yet

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

  cites [34] Olislager, 2013, Opt. Lett. source
• ?Not checked — no full text of the sourcecites [62] Bolduc, 2013, Opt. Lett. source
• ?Not checked — no full text of the sourcecites [64] Dholakia, 2011, Nat. Photon. source

In the paper

“nowadays, entanglement distribution includes it as a fundamental routine in quantum repeaters (see Section 2.2.1) [319].”

What the sources say

• Not checked yet

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

  cites [319] Rath, 2015, Light Sci. Appl. source

In the paper

“Thus, by modelling the noise in a given quantum channel, it is in principle possible to construct quantum states that are immune to all decoherence effects corresponding to that specific pattern.”

In the paper

“Entanglement purification allows to circumvent this issue by extracting high-quality entangled pairs from a given ensemble using only local transformations and classical communication [328].”

What the sources say

• Not checked yet

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

  cites [328] Sasaki, 2011, Opt. Express source

In the paper

“Today the current record for the longest distance is kept by Ren et al. who teleported single-photon qubits from a ground observatory to a satellite 1400 km high in atmosphere [351].”

What the sources say

• Not checked yet

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

  cites [351] Ishizaka, 2008, Phys. Rev. Lett. source

In the paper

“In the above realizations, where photons encode information through all the stages of the protocol, the state of the qubit was transferred from one photon to another.”

In the paper

“Though the sources of single photons and photon pairs are still spatially close, the process is indeed the core of future long-distance quantum communication as we envisage it today (see Section 2.2) [320,361].”

What the sources say

• ?Not checked — no full text of the sourcecites [320] Eisaman, 2011, Rev. Sci. Instrum. source
• ?Not checked — no full text of the sourcecites [361] Ursin, 2004, Nature source

In the paper

“Indeed, the main reasons behind the increasing interest toward continuous-variable schemes concern practical advantages, since Bell measurements can be realized by means of only passive linear-optical elements and homodyne detection with very high precision.”

In the paper

“The past decade has seen a strong effort directed towards the development of matter-light interfaces as building blocks for quantum computation and communication, where entanglement between single-photon states and atomic ensembles represents an effective solution.”

What the sources say

• ?Not checked — no full text of the sourcecites [362] Jin, 2010, Nat. Photon. source

In the paper

“Notwithstanding, and differently from miniaturized electronic circuits, linear optical circuits do not have unique platform and manifacturing technique (see Table 3) [234]:”

What the sources say

• ?Not checked — no full text of the sourcecites [234] Laing, 2010, Appl. Phys. Lett. source

In the paper

“Quantum mechanics allows to increase the capacity of a quantum communication channel by transferring two bits of classical information with only one qubit [322].”

What the sources say

• ?Not checked — no full text of the sourcecites [322] Elliott, 2005, Current status of the darpa quantum network, Proc. SPIE source

In the paper

“Entanglement swapping is a promising solution to this issue [374] and, nowadays, entanglement distribution includes it as a fundamental routine in quantum repeaters (see Section 2.2.1) [319].”

What the sources say

• Not checked yet

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

  cites [374] Takeda, 2013, Nature source

In the paper

“After the Bell measurement on B-C, and whatever outcome Alice receives, Bob remains with an entangled pair A-D even though they did not share any entanglement or interaction.”

In the paper

“For instance, Ikuta et al. in 2011 proposed and demonstrated a solution for increasing the efficiency of DFS-based entanglement distribution over lossy channels [389].”

What the sources say

• ?Not checked — no full text of the sourcecites [389] Pan, 1998, Phys. Rev. Lett. source

In the paper

“Among all, teleportation schemes were shown to enable new approaches for universal quantum computation [336,337], in particular as one-way quantum computers [338].”

What the sources say

• ?Not checked — no full text of the sourcecites [336] Bennett, 1992, Phys. Rev. Lett. source
• ?Not checked — no full text of the sourcecites [337] Lütkenhaus, 1999, Phys. Rev. A source
• ?Not checked — no full text of the sourcecites [338] Barreiro, 2008, Nat. Phys. source

In the paper

“In DFS protocols, qubits are encoded in states that do not experience decoherence in a given channel thanks to known symmetries of the subspace.”

In the paper

“the full landscape of phenomena gets enriched if we consider photonic states with n = 2 photons [16,17,51,128,146,516,518,532,533,537,538,540,541,544], thanks to the emergence of more complex interference patterns [516,544]”

What the sources say

• Not checked yet

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

  cites [516] Braunstein, 2012, Phys. Rev. Lett. source
• ?Not checked — no full text of the sourcecites [544] Souto Ribeiro, 2008, Phys. Rev. A source

In the paper

“Several analyses show that a suitable combination of quantum coherence and environmental noise can provide an effective enhancement in quantum transport [231,542,[549][550][551][552][553]”

What the sources say

• ?Not matched

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

  cites [231,542,[549][550][551][552][553]

In the paper

“However, starting from 2012, alternative all-photonic schemes without quantum memories were presented by Munro et al. [417] and by Azuma et al. [422,423] based on multi-photon cluster-states, loss-tolerant measurements and local high-speed active feedforward controls.”

What the sources say

• Not checked yet

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

  cites [417] Dür, 1999, Phys. Rev. A source
• Not checked yet

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

  cites [422] Childress, 2006, Phys. Rev. Lett. source
• Not checked yet

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

  cites [423] Simon, 2007, Phys. Rev. Lett. source

In the paper

“We have also described how this resource deteriorates easily and exponentially fast with the length of transmission for several reasons.”

In the paper

“The overall rate for quantum communication based on this scheme decreases polynomially with the distance; 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.”

In the paper

“Photon losses are the first cause of deterioration: even though fiber attenuation at telecom wavelength can be partly reduced, even ultra-low loss optical fibers still unavoidably lead to an exponential decrease in the generation rate of entangled pairs.”

In the paper

“which gained increasing attention after the discovery that multiparticle quantum walks with interactions allow for universal quantum computation [514,558]”

What the sources say

• Not checked yet

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

  cites [514] Reichardt, 2013, Nature source
• Not checked yet

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

  cites [558] Crespi, 2015, Phys. Rev. Lett. source

In the paper

“A milestone result in the intertwined developments of quantum walks and quantum computation is represented by the proof, by Aaronson and Arkhipov [559] in 2010, that nphoton states evolving in a discrete-time quantum walk can provide a first experimental evidence of a superior quantum computational power [560,561]”

What the sources say

• Not checked yetcites [559] Lebugle, 2015, Nat. Commun. source
• Not checked yetcites [560] Biggerstaff, 2016, Nat. Commun. source
• Not checked yetcites [561] Caruso, 2016, Nat. Commun. source

In the paper

“reconfigurable photonic circuits can provide a useful platform to characterize it, allowing to study the continuous transitions between different regimes [231]”

What the sources say

• Not checked yetcites [231] Politi, 2008, Science source

In the paper

“The first generation of QRs (I) employs heralded entanglement generation (HEG) and heralded entanglement purification (HEP) to reduce the deterioration induced by losses from an exponential to a polynomial scaling (see Section 2.1.1)[400,[402][403][404][405][406].”

What the sources say

• ?Not matched

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

  cites [400,[402][403][404][405][406]

In the paper

“Entanglement swapping and purification can then be properly combined to sequentially extend the distribution of entangled photon pairs until two nodes are connected.”

In the paper

“Teleportation with CNOT gates and entanglement swapping are still sequentially applied to extend the entanglement to distant nodes; however, the use of QEC in place of HEP speeds up the process by avoiding the time delays due to non-adjacentnodes signalling [416].”

In the paper

“With this approach, quantum memories are employed at each side of a QR to save the state of the entangled photon pairs while waiting for the classical signals to carry out teleportation [112,113,137,158,334,[366][367][368]409,[417][418][419][420].”

What the sources say

• ?Not matched

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

  cites [112,113,137,158,334,[366][367][368]409,[417][418][419][420]

In the paper

“last few years, several protocols for verifiable quantum computations have been proposed [435,443,447,493,[596][597][598][599][600][601][602][603], where the attention focused on schemes with either fewer experimental requirements or higher generality and security”

What the sources say

• ?Not matched

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

  cites [435,443,447,493,[596][597][598][599][600][601][602][603]

In the paper

“This is a fundamental limitation imposed by quantum mechanics: the maximum number of entanglement bits (ebits) that can be distributed over a lossy channel with transmissivity T is in fact equal tolog 2 (1 -T ) ebits per channel use [392].”

What the sources say

• Not checked yet

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

  cites [392] Weston, 2018, Sci. Adv. source

In the paper

“Quantum repeaters (QR), proposed in 1998 by Briegel et al. [400], currently represent a strong candidate to circumvent these issues.”

What the sources say

• Not checked yet

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

  cites [400] Jiang, 2005, Opt. Express source

In the paper

“By using these schemes it is possible to create entanglement between two nodes of a network to transfer quantum information.”

In the paper

“Since the operators act on single qubits, it was possible to perform QPE separately on the polarization qubit of the quantum register, accessing the outcome via the control entangled photon [630]”

What the sources say

• Not checked yetcites [630] Agresti, 2017, Pattern recognition techniques for boson sampling validation

In the paper

“In this case, with an appropriate choice of the basis, the Hamiltonian matrix reduces to two 2×2 blocks (plus two 1×1 blocks), allowing a map between subspaces and single qubit states.”

In the paper

“In the latter case, as for analogous experiments involving multi-photon interference in linear-optical multiport interferometers, it is crucial to check the indistinguishability of the input photons to ensure the correctness of the overall operation.”

In the paper

“Notwithstanding, when modelling the quantum nature of highly correlated many-body systems, it became clear that the only solution to counteract the exponential increase in computational resources, the so-called curse of dimensionality, was to exploit other quantum systems for information processing [623]”

What the sources say

• Not checked yet

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

  cites [623] Bell, 2014, Nat. Commun. source

In the paper

“Photonic technologies provide an effective platform for quantum simulation, thanks to the single photons' low decoherence, speed and controllability that we discussed in the previous chapters.”

In the paper

“Within this framework, in 2015 Huh et al. found the first application of BosonSampling for quantum simulation to evaluate molecular vibronic spectra [586,591,592].”

What the sources say

• Not checked yetcites [586] Crespi, 2013, Nat. Photon. source
• Not checked yet

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

  cites [591] Oszmaniec, 2018, Classical simulation of photonic linear optics with lost particles source
• Not checked yet

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

  cites [592] Shchesnovich, 2015, Phys. Rev. A source