Why I am optimistic about the silicon-photonic route to quantum computing
Open accessAbstract
This is a short overview explaining how building a large-scale, silicon-photonic quantum computer has been reduced to the creation of good sources of 3-photon entangled states (and may simplify further). Given such sources, each photon needs to pass through a small, constant, number of components, interfering with at most 2 other spatially nearby photons, and current photonics engineering has already demonstrated the manufacture of thousands of components on two-dimensional semiconductor chips with performance that, once scaled up, allows the creation of tens of thousands of photons entangled in a state universal for quantum computation. At present the fully integrated, silicon-photonic architecture we envisage involves creating the required entangled states by starting with single-photons produced non-deterministically by pumping silicon waveguides (or cavities) combined with on-chip filters and nanowire superconducting detectors to herald that a photon has been produced. These sources are multiplexed into being near-deterministic, and the single photons then passed through an interferometer to non-deterministically produce small entangled states—necessarily multiplexed to near-determinism again. This is followed by a “ballistic” scattering of the small-scale entangled photons through an interferometer such that some photons are detected, leaving the remainder in a large-scale entangled state which is provably universal for quantum computing implemented by single-photon measurements. There are a large number of questions regarding the optimum ways to make and use the final cluster state, dealing with static imperfections, constructing the initial entangled photon sources and so on, that need to be investigated before we can aim for millions of qubits capable of billions of computational time steps. The focus in this article is on the theoretical side of such questions.
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This technology has seen enormous progress in recent years, and may offer a realistic approach to realizing the complex circuits needed for scalable photonic quantum computing and quantum networks.
“This technology has seen enormous progress in recent years, [8][9][10][11] and may offer a realistic approach to realizing the complex circuits needed for scalable photonic quantum computing and quantum networks.12”
From Integrated-optics heralded controlled-NOT gate for polarization-encoded qubits (2018) · cites this paper as [12]
Quantum photonics is an attractive platform for QIP: it has room temperature operation, the possibility of robust miniaturisation through photonic integrated circuits; in general it harnesses the highly developed optical fibre-related technology for QIP purposes.
“This is an attractive platform for QIP: it has room temperature operation, the possibility of robust miniaturisation through photonic integrated circuits; in general it harnesses the highly developed optical fibre-related technology for QIP purposes.38”
From Quantum generalisation of feedforward neural networks (2017) · cites this paper as [38]
Conventionally phase shifters built upon the electro-optic effect are known to work in the megahertz region and have extremely low loss.
“Conventionally phase shifters built upon the electro-optic effect are known to work in the megahertz region and have extremely low loss.38”
From Quantum generalisation of feedforward neural networks (2017) · cites this paper as [38]
This circuit can be made more robust and miniaturised using silicon or silica optical waveguides.
“This circuit can be made more robust and miniaturised using silicon or silica optical waveguides.38”
From Quantum generalisation of feedforward neural networks (2017) · cites this paper as [38]
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BackgroundQuantum circuits with many photons on a programmable nanophotonic chip
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BackgroundLinear programmable nanophotonic processors
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Quantum Low-Density Parity-Check Codes
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Scalable integrated single-photon source
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Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
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Recent progress in quantum photonic chips for quantum communication and internet
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MethodHybrid integration methods for on-chip quantum photonics
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BackgroundQuantum generalisation of feedforward neural networks
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“, accepting probabilistic gates in the spirit of the KLM scheme,(43) or using measurement-based cluster state quantum computation approaches.(38) Before describing the module we make the simplifying restriction that there is one input qubit to the neuron and one dummy input.”
BackgroundMethodInfluentialPerspective: The future of quantum dot photonic integrated circuits
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A manufacturable platform for photonic quantum computing
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Self-citationToward large-scale fault-tolerant universal photonic quantum computing
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Blueprint for a scalable photonic fault-tolerant quantum computer
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Applications of single photons to quantum communication and computing
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“Theoretical scalable quantum computing proposals envision the notion of flexible cluster state computation modes 148–150 , in which heralded single photons are assembled into three-photon Greenberger–Horne–Zeilinger states and then merged into complex 3D cluster states developing fusion gate…”
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Single-photon sources: approaching the ideal through multiplexing
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Near-ideal spontaneous photon sources in silicon quantum photonics
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A quantum network stack and protocols for reliable entanglement-based networks
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Deterministic Quantum Emitter Formation in Hexagonal Boron Nitride via Controlled Edge Creation
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Single-photon detection and cryogenic reconfigurability in lithium niobate nanophotonic circuits
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Sequential generation of linear cluster states from a single photon emitter
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Deterministic generation of indistinguishable photons in a cluster state
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Programmable four-photon graph states on a silicon chip
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High-rate entanglement between a semiconductor spin and indistinguishable photons
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Ultra-low loss quantum photonic circuits integrated with single quantum emitters
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Error-protected qubits in a silicon photonic chip
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“Integrated photonics is an appealing platform for architectures that build large graph states for fault-tolerant MBQC [17–19].”
BackgroundInfluentialIntegrated Photonics Based on Rare‐Earth Ion‐Doped Thin‐Film Lithium Niobate
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Nonlinear multimode photonics: nonlinear optics with many degrees of freedom
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Sequential generation of linear cluster states from a single photon emitter
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Simulating boson sampling in lossy architectures
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“A single-photon and linear-optics version of measurement based quantum computation has also been thoroughly studied [2, 3].”
BackgroundIntegrated-optics heralded controlled-NOT gate for polarization-encoded qubits
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“This technology has seen enormous progress in recent years [8–11], and may offer a realistic approach to realizing the complex circuits needed for scalable photonic quantum computing and quantum networks [12].”
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BackgroundAtomistic defects as single-photon emitters in atomically thin MoS2
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Robust Architecture for Programmable Universal Unitaries
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Time-Domain Multiplexed 2-Dimensional Cluster State: Universal Quantum Computing PlatformPreprint
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Advances in Silicon Quantum Photonics
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“(b) A 2D unit tiling implementing (a) [41].”
BackgroundInfluentialWafer-scale nanofabrication of telecom single-photon emitters in silicon
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“Deterministic single-photon sources monolithically integrated with silicon quantum PIC represent a new tool in quantum photonics [11], complementing heralded probabilistic sources [12] and offering very-largescale integration (VLSI) [13].”
MethodTelecom Networking with a Diamond Quantum Memory
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On-chip heralded single photon sources
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A feasible approach for automatically differentiable unitary coupled-cluster on quantum computers
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Quantum-dot single-photon source on a CMOS silicon photonic chip integrated using transfer printing
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Integrated Photonics for Quantum Communications and Metrology
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Percolation thresholds for photonic quantum computing
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“A major challenge, as expounded in [28] as well, is an experimental scheme to build an on-demand source of high-fidelity small entangled cluster states, e.”
BackgroundThree-dimensional entanglement on a silicon chip
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Dual-rail encoding with superconducting cavities
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Silicon photonic devices for scalable quantum information applications
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“Among those materials, silicon photonics is a good candidate because of its easy preparation, high integration density and excellent optical properties [33].”
BackgroundCryogenic operation of silicon photonic modulators based on the DC Kerr effect
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Beyond photon pairs—nonlinear quantum photonics in the high-gain regime: a tutorial
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High-speed thin-film lithium niobate quantum processor driven by a solid-state quantum emitter
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“Central to photonic quantum technologies is the generation of highquality photonic states and fast low-loss programmable circuits for their routing and processing [15, 16].”
BackgroundScalable Squeezed-Light Source for Continuous-Variable Quantum Sampling
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Fundamental building block for all-optical scalable quantum networks
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Experimental time-reversed adaptive Bell measurement towards all-photonic quantum repeaters
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Photonic Indistinguishability of the Tin-Vacancy Center in Nanostructured Diamond
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Resonance Fluorescence from Waveguide-Coupled, Strain-Localized, Two-Dimensional Quantum Emitters
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Scheme for Universal High-Dimensional Quantum Computation with Linear Optics
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Quantum computing and industrial information integration: A review
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From quantum optics to quantum technologies
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“Nevertheless, the key principles of all of these ingredients have been demonstrated, and linear optical quantum computing remains a strong candidate for the realisation of large-scale quantum computing [212].”
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“The latter error reduces the measurement contrast in the XX and YY bases [12] and is additionally relevant for combining multiple smaller cluster states through entanglement fusion [2].”
BackgroundNanomechanical single-photon routing
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Towards low loss non-volatile phase change materials in mid index waveguides
Faneca, J., Zeimpekis, I., Ilie, S. T., Bucio, T. D., Grabska, K., Hewak, D. W., & Gardes, F. Y. (2021) · Neuromorphic Computing and Engineering · doi:10.1088/2634-4386/ac156e · Cited by 54 · see citing works
“tions such as quantum computing [18, 22, 23], microwave photonics [14], neuromorphic computing [24–26],”
BackgroundLow-loss, high-bandwidth fiber-to-chip coupling using capped adiabatic tapered fibers
Khan, S., Buckley, S. M., Chiles, J., Mirin, R. P., Nam, S. W., & Shainline, J. M. (2020) · APL Photonics · doi:10.1063/1.5145105 · Cited by 54 · see citing works
Mapping the design space of photonic topological states via deep learning
Singh, R., Agarwal, A., & Anthony, B. (2020) · Optics Express · doi:10.1364/oe.398926 · Cited by 54 · see citing works
Tiurev, K., Appel, M. H., Mirambell, P. L., Lauritzen, M. B., Tiranov, A., Lodahl, P., & Sørensen, A. S. (2022) · Physical Review A · doi:10.1103/physreva.105.l030601 · Cited by 55 · see citing works
Universal fault-tolerant measurement-based quantum computation
Brown, B. J., & Roberts, S. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033305 · Cited by 55 · see citing works
The resurgence of the linear optics quantum interferometer — recent advances & applications
Tan, S.-H., & Rohde, P. P. (2019) · Reviews in Physics · doi:10.1016/j.revip.2019.100030 · Cited by 53 · see citing works
“For this reason, the future of linear optics interferometry is a bright one, a sentiment echoed by others [233], which will find inevitable applicability in the future quantum world.”
BackgroundPrimer on silicon neuromorphic photonic processors: architecture and compiler
de Lima, T. F., Tait, A. N., Mehrabian, A., Nahmias, M. A., Huang, C., Peng, H.-T., Márquez, B. A., Miscuglio, M., El‐Ghazawi, T., Sorger, V. J., et al. (2018) · Nanophotonics · doi:10.1515/nanoph-2020-0172 · Cited by 52 · see citing works
“Silicon photonic systems have been proposed for quantum processing models, including quantum simulation and quantum computing [38, 39].”
Integrated photonics in quantum technologies
Giordani, T., Hoch, F., Carvacho, G., Spagnolo, N., & Sciarrino, F. (2023) · Rivista Del Nuovo Cimento · doi:10.1007/s40766-023-00040-x · Cited by 54 · see citing works
Phillips, C. L., Brash, A. J., Godsland, M., Martin, N. J., Foster, A. P., Tomlinson, A., Dost, R., Babazadeh, N., Sala, E. M., Wilson, L. R., et al. (2024) · Scientific Reports · doi:10.1038/s41598-024-55024-6 · Cited by 52 · see citing works
“Many quantum communication and quantum information processing applications require a source of indistinguishable single photons 1–5 .”
BackgroundCalderbank-Shor-Steane holographic quantum error-correcting codes
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Epitaxial quantum dots: a semiconductor launchpad for photonic quantum technologies
Zhou, X., Zhai, L., & Liu, J. (2022) · Photonics Insights · doi:10.3788/pi.2022.r07 · Cited by 50 · see citing works
“The splitting ratio of the switch characterizes how well the photons can be completely routed from one port to another, which, together with stochastic errors and losses, eventually affects the fidelity of the target quantum state [230,231] .”
BackgroundTunable quantum emitters on large-scale foundry silicon photonics
Larocque, H., Buyukkaya, M. A., Errando-Herranz, C., Papon, C., Harper, S., Tao, M., Carolan, J., Lee, C., Richardson, C. J. K., Leake, G., et al. (2024) · Nature Communications · doi:10.1038/s41467-024-50208-0 · Cited by 53 · see citing works
“Integrating other components such as on-chip SNSPDs 70,71 could also enable more complex types of on-chip photonic computations, including more complex quantum information processing tasks 72 and machine learning 73,74 .”
Silicon photonic quantum computing with spin qubits
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Cryogenic operation of silicon photonic modulators based on the DC Kerr effect
Chakraborty, U., Carolan, J., Clark, G., Bunandar, D., Gilbert, G. N., Notaroš, J., Watts, M. R., & Englund, D. (2020) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 49 · see citing works
Conceptual Understanding through Efficient Automated Design of Quantum Optical Experiments
Krenn, M., Kottmann, J. S., Tischler, N., & Aspuru‐Guzik, A. (2021) · Physical Review X · doi:10.1103/physrevx.11.031044 · Cited by 60 · see citing works
“Heralded GHZ states provide the resources for definite demonstration of deterministic violations of local-realistic worldviews [46] and are among the most promising building blocks for photonic quantum computation [7, 40].”
BackgroundMethodInfluential
- Authors
- Rudolph, T.
- Affiliations
- Imperial College London (GB)
- Corresponding author
- Rudolph, Terry
- ORCID
- Rudolph, Terry
- Venue
- APL Photonics
- Publisher
- AIP Publishing
- Published
- 2017-03-01
- Volume
- 2
- Issue
- 3
- ISSN
- 2378-0967 (ISSN-L)
- OpenAlex
- W2502799522
- Cited by
- 350
- References
- 85
- Citations by year
- 2026: 20 · 2025: 29 · 2024: 44 · 2023: 50 · 2022: 42 · 2021: 42 · 2020: 43 · 2019: 40 · 2018: 30 · 2017: 9 · 2016: 1
- FWCI
- 19.90
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by
- Locations
- APL Photonics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University)
- Funders
- Engineering and Physical Sciences Research Council (EP/L024020/1)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Photonic and Optical Devices
- Keywords
- silicon photonics, quantum computing, cluster states, three-photon entanglement, entangled photon sources, heralded single-photon source, silicon waveguides, interferometer, universal quantum computation, integrated photonics
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