pith. sign in

arxiv: 2606.30385 · v1 · pith:F73CRNFUnew · submitted 2026-06-29 · 🪐 quant-ph · physics.atom-ph

Blueprint for a fault-tolerant compound photon-atom quantum architecture

Geva Arwas , Doron Azoury , Daniel Azses , Orel Bechler , Dana Ben Porath , Barak Dayan , David Dentelski , Yaron Jarach
show 6 more authors
Nadav Kandel Aviad Landau Yair Margalit Alexander Poddubny Michael Slutsky Konstantin Yavilberg
This is my paper

Pith reviewed 2026-06-30 06:27 UTC · model grok-4.3

classification 🪐 quant-ph physics.atom-ph
keywords hybrid quantum computingcavity QEDDuan-Kimble gatemeasurement-based quantum computingfault toleranceRHG latticephoton-atom entanglementquantum error correction
0
0 comments X

The pith

A photon-atom hybrid architecture reaches a 2.6% photon-loss threshold for fault-tolerant MBQC on the RHG lattice.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper outlines a compound platform that pairs photonic flying qubits with atomic stationary qubits in optical cavities to combine long-range connectivity with reusable near-deterministic operations. A symmetrized Duan-Kimble controlled-phase gate supplies the core entangling primitive, enabling protocols for photon generation, state preparation, and entanglement on tens-of-nanosecond timescales while atoms are reused to build large cluster states. Fault-tolerance analysis under a hardware-aware noise model that includes asymmetric loss and correlated errors shows logical memory can tolerate photon loss near 2.6% per physical gate, or roughly 15% total per trajectory. The full Clifford set is realized transversally or fold-transversally at thresholds that match the identity channel, with two explicit routes proposed for non-Clifford resources inside the foliated cluster-state framework.

Core claim

The symmetrized Duan-Kimble photon-atom controlled-phase gate enables a hybrid architecture in which photons supply scalable connectivity through measurement-based quantum computing on the Raussendorf-Harrington-Goyal lattice while atoms provide reusable, high-fidelity resources. Logical-memory simulations under the specified asymmetric-loss and correlated-error model yield a photon-loss threshold of 2.6% per physical gate. The Hadamard, phase, and CNOT gates are implemented transversally or fold-transversally at thresholds identical to the identity operation, and non-Clifford operations are addressed through code teleportation and magic-state cultivation within the foliated cluster-state ar

What carries the argument

The symmetrized Duan-Kimble photon-atom controlled-phase gate, which supplies near-deterministic, robust entanglement between flying photonic qubits and stationary atomic qubits.

If this is right

  • Logical memory tolerates approximately 15% total photon loss per trajectory while remaining below threshold.
  • Hadamard, phase, and CNOT operations are available transversally or fold-transversally without lowering the error threshold below that of the identity channel.
  • Atomic reuse produces large-scale cluster states with effectively unrestricted connectivity and reduced overhead relative to purely photonic platforms.
  • Non-Clifford resources become accessible inside the same foliated cluster-state architecture via code teleportation or magic-state cultivation.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The architecture could support modular quantum networks in which atomic nodes serve as stable interfaces to photonic communication channels.
  • If the modeled gate performance holds, the hybrid approach may reduce the total number of physical resources needed for photonic error correction compared with all-photonic schemes.
  • Direct characterization of the gate under the precise asymmetric-loss conditions assumed in the RHG simulations would provide a clear experimental test of the entire blueprint.

Load-bearing premise

The symmetrized Duan-Kimble photon-atom controlled-phase gate maintains high fidelity and near-determinism under realistic cavity imperfections together with the asymmetric loss and correlated-error model used in the simulations.

What would settle it

An experimental measurement showing that the symmetrized Duan-Kimble gate fidelity drops below the value required to sustain the reported 2.6% per-gate loss threshold under the modeled cavity-QED imperfections and loss statistics would falsify the fault-tolerance claims.

Figures

Figures reproduced from arXiv: 2606.30385 by Alexander Poddubny, Aviad Landau, Barak Dayan, Dana Ben Porath, Daniel Azses, David Dentelski, Doron Azoury, Geva Arwas, Konstantin Yavilberg, Michael Slutsky, Nadav Kandel, Orel Bechler, Yair Margalit, Yaron Jarach.

Figure 1
Figure 1. Figure 1: (a) The unit cell structure. A 1D PGC beam (light-green) loads and cools the atom into the optical lattice dipole [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: CZ gate description. (a) The atomic level struc [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Atomic state preparation and measurement pro [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: High-level hardware architecture concept of a photon–atom MBQC system. Unit cells generate photonic qubits, [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: A d = 3, t = 3 RHG construction starting and ending with dual layers, corresponding to logical |0⟩L initialization and measurement. Circles denote qubits. Dashed gray lines indicate CZ gates in the time direction, while solid gray lines indicate CZ gates within each spatial layer. The number of data qubits along each spatial row or column is d, the error-correction code distance, and t is the number of spa… view at source ↗
Figure 6
Figure 6. Figure 6: Time progression of the bipartite generation scheme. Time advances from left to right within each row and [PITH_FULL_IMAGE:figures/full_fig_p012_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Time progression of the interleaved generation scheme. Time advances from left to right. Four consecutive time [PITH_FULL_IMAGE:figures/full_fig_p012_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Memory simulation of the RHG lattice under the [PITH_FULL_IMAGE:figures/full_fig_p014_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Implementation of the logical Hadamard gate [PITH_FULL_IMAGE:figures/full_fig_p015_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Implementation of the logical phase gate [PITH_FULL_IMAGE:figures/full_fig_p015_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Transversal implementation of the logical CNOT gate on the RHG lattice. The operation is realized by pairwise [PITH_FULL_IMAGE:figures/full_fig_p016_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Logical-channel simulations on the RHG lat [PITH_FULL_IMAGE:figures/full_fig_p017_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: Single-qubit teleportation circuit. The input [PITH_FULL_IMAGE:figures/full_fig_p019_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: Circuit equivalence between CNOT and CZ gates. measuring the input qubit in the Z basis. Depend￾ing on the measurement outcome, a Pauli-X correction may be required. This construction naturally general￾izes to the teleportation of single- and two-qubit gates. Since our construction uses only CZ gates, we replace the CNOT with its circuit equivalent: a CZ gate conju￾gated by Hadamard gates on the target qu… view at source ↗
Figure 15
Figure 15. Figure 15: (a) The surface code on a square lattice. (b, c) [PITH_FULL_IMAGE:figures/full_fig_p020_15.png] view at source ↗
Figure 16
Figure 16. Figure 16: Each cube of the RHG lattice supports a check [PITH_FULL_IMAGE:figures/full_fig_p021_16.png] view at source ↗
Figure 17
Figure 17. Figure 17: Quantum circuit showing how an X error propa￾gates through cluster-state CZ gates into multiple Z errors and an X error immediately before the X-basis measure￾ment, which can be ignored. surfaces. It is nevertheless sufficient to correct Z errors. As explained in Ref. [119], X errors are either irrelevant, if they occur immediately after |+⟩ initialization or just before X-basis measurement, or propagate … view at source ↗
Figure 18
Figure 18. Figure 18: Memory-channel simulation on the RHG lat [PITH_FULL_IMAGE:figures/full_fig_p022_18.png] view at source ↗
Figure 19
Figure 19. Figure 19: Time ordering of CZ operations. If qubit [PITH_FULL_IMAGE:figures/full_fig_p023_19.png] view at source ↗
Figure 20
Figure 20. Figure 20: A dual-rail photonic qubit interacts sequentially with four atoms, shown as blue circles. The interactions [PITH_FULL_IMAGE:figures/full_fig_p024_20.png] view at source ↗
Figure 21
Figure 21. Figure 21: Below-threshold scaling of the logical error rate [PITH_FULL_IMAGE:figures/full_fig_p024_21.png] view at source ↗
read the original abstract

Fault-tolerant quantum computing requires architectures that simultaneously address scalability, connectivity, and error correction under realistic noise constraints. We present a compound photonic-atomic quantum computing platform that uses cavity QED to realize near-deterministic entangling operations between flying photonic qubits and stationary atomic qubits. Photons provide long-range connectivity and scalability via measurement-based quantum computing (MBQC), while atoms supply reusable, near-deterministic resources for photon generation and entanglement, overcoming the inefficiency of purely photonic platforms. The core primitive is a symmetrized Duan-Kimble photon-atom controlled-phase (CZ) gate, robust to experimental imperfections and high-fidelity. Using single $^{87}$Rb atoms coupled to optical cavities, we give protocols for state preparation, measurement, photon generation, and entangling gates on tens-of-nanosecond timescales, and show how large-scale cluster states with effectively unrestricted connectivity and reduced overhead can be generated through atomic reuse. We analyze fault tolerance on the Raussendorf-Harrington-Goyal (RHG) lattice with a hardware-aware noise model capturing asymmetric loss and correlated photonic-atomic errors. Logical memory simulations yield a photon-loss threshold near $2.6\%$ per physical gate ($\sim$15\% total per trajectory). The full Clifford set -- Hadamard, phase, CNOT -- is implementable transversally or fold-transversally at thresholds matching the identity channel, and we propose two non-Clifford resource-state routes (code teleportation and magic state cultivation) within the foliated cluster-state architecture.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper proposes a compound photonic-atomic quantum architecture using cavity QED to implement near-deterministic photon-atom entangling gates via a symmetrized Duan-Kimble CZ protocol. It provides explicit protocols for state preparation, photon generation, measurement, and entangling operations on nanosecond timescales with 87Rb atoms, then analyzes fault tolerance of the full Clifford set on the RHG lattice under a hardware-aware noise model of asymmetric photon loss plus correlated errors, reporting a logical-memory threshold of ~2.6% photon loss per physical gate (~15% total per trajectory) with transversal or fold-transversal implementations.

Significance. If the noise-model mapping holds, the work supplies a concrete hybrid blueprint that combines photonic long-range connectivity with reusable atomic resources, yielding competitive thresholds and reduced overhead relative to purely photonic MBQC. The explicit gate protocols, the demonstration that all Clifford gates meet the identity threshold, and the two outlined routes to non-Clifford resources are concrete contributions that could guide near-term cavity-QED experiments.

major comments (2)
  1. [Abstract and protocols section] Abstract and protocols section: the 2.6% per-gate photon-loss threshold (and the matching Clifford thresholds) is obtained from RHG-lattice Monte Carlo simulations that inject a specific asymmetric-loss plus correlated-error model; however, the manuscript supplies no master-equation derivation, cooperativity-dependent fidelity bound, or explicit propagation of cavity decay, spontaneous emission, and timing jitter that maps the symmetrized Duan-Kimble gate onto the precise loss and correlation rates used in the simulator. This unverified mapping is load-bearing for the central fault-tolerance claim.
  2. [Abstract] Abstract: no error bars, sensitivity analysis, or robustness checks are reported for the 2.6% threshold figure despite the dependence on the unverified noise-model parameters.
minor comments (1)
  1. [protocols section] The manuscript states that the symmetrized gate is 'robust to experimental imperfections' but does not quantify the required cooperativity or cavity parameters needed to stay below the simulated loss rates.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive feedback. We address the two major comments below, agreeing where the manuscript is incomplete and outlining concrete revisions.

read point-by-point responses

  1. Referee: [Abstract and protocols section] Abstract and protocols section: the 2.6% per-gate photon-loss threshold (and the matching Clifford thresholds) is obtained from RHG-lattice Monte Carlo simulations that inject a specific asymmetric-loss plus correlated-error model; however, the manuscript supplies no master-equation derivation, cooperativity-dependent fidelity bound, or explicit propagation of cavity decay, spontaneous emission, and timing jitter that maps the symmetrized Duan-Kimble gate onto the precise loss and correlation rates used in the simulator. This unverified mapping is load-bearing for the central fault-tolerance claim.

    Authors: We agree that the mapping from the symmetrized Duan-Kimble gate to the precise loss and correlation rates requires an explicit derivation to support the fault-tolerance claim. The current manuscript uses a hardware-aware phenomenological model informed by standard cavity-QED treatments but does not provide the requested master-equation analysis or cooperativity bounds. In the revised manuscript we will add a new appendix that derives the effective asymmetric photon-loss and correlated-error rates from the underlying parameters (cavity decay, spontaneous emission, timing jitter, and cooperativity) for the symmetrized protocol, thereby making the noise-model mapping fully traceable. revision: yes

  2. Referee: [Abstract] Abstract: no error bars, sensitivity analysis, or robustness checks are reported for the 2.6% threshold figure despite the dependence on the unverified noise-model parameters.

    Authors: We acknowledge that the reported 2.6% threshold lacks error bars and sensitivity analysis. In the revision we will rerun the RHG-lattice Monte Carlo simulations while varying the key noise parameters (loss asymmetry, correlation strength) over physically plausible ranges, report statistical uncertainties on the threshold, and include a sensitivity plot demonstrating robustness of the Clifford thresholds to these variations. revision: yes

Circularity Check

0 steps flagged

Threshold from direct simulation of stated noise model; minor self-citation on gate protocol not load-bearing

full rationale

The paper's central result—the 2.6% photon-loss threshold—is obtained by running Monte Carlo simulations on the RHG lattice that directly inject the described hardware-aware noise model of asymmetric loss and correlated errors. No equation or protocol in the provided text reduces this threshold to a fitted parameter or self-defined quantity; the simulation uses the model as an external input rather than deriving the threshold by construction. Self-citation to prior cavity-QED work on the symmetrized Duan-Kimble gate supplies the protocol description but is not invoked as a uniqueness theorem or to close the derivation loop. The fault-tolerance claims therefore remain independently falsifiable against the stated noise parameters and external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard cavity-QED assumptions and a hardware-specific noise model; no new free parameters are introduced beyond the simulated loss rate, and no new physical entities are postulated.

axioms (2)
  • domain assumption Cavity QED interactions can be modeled with the standard Jaynes-Cummings Hamiltonian under the stated experimental imperfections
    Invoked to justify the symmetrized Duan-Kimble gate robustness
  • domain assumption The RHG lattice error-correction thresholds remain valid under the asymmetric loss and correlated photonic-atomic error model
    Required for the 2.6% threshold claim

pith-pipeline@v0.9.1-grok · 5857 in / 1562 out tokens · 23523 ms · 2026-06-30T06:27:07.337984+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

135 extracted references · 27 canonical work pages · 14 internal anchors

  1. [1]

    Construction The RHG lattice, introduced by Raussendorf, Har- rington, and Goyal, was the first three-dimensional fault-tolerant topological quantum code supporting a universal gate set [27]. Fig. 5 shows an example with d= 3 andt= 3. The parameterdis the spatial linear size of the lattice and sets the error-correction distance, defined as the minimum wei...

  2. [2]

    Single-qubit teleportation A key feature of MBQC is that quantum informa- tion can be teleported using only single-qubit measure- ments [77]

    Foliation a. Single-qubit teleportation A key feature of MBQC is that quantum informa- tion can be teleported using only single-qubit measure- ments [77]. The basic circuit is shown in Fig. 13: a state|ψ⟩is teleported to an ancilla prepared in|+⟩by entangling the two qubits with a CNOT gate and then |ψ⟩ |+⟩ X m |ψ⟩ Figure 13. Single-qubit teleportation ci...

  3. [3]

    We now describe the same ob- ject directly as a three-dimensional topological cluster state [119]

    RHG as a cluster state The previous section related the RHG lattice to a fo- liated surface code, explaining the motivation for the construction and how the code arises from stacked surface-code layers. We now describe the same ob- ject directly as a three-dimensional topological cluster state [119]. This complementary viewpoint is useful be- cause the pr...

  4. [4]

    A logical operator is a one-dimensional prod- uct of single-qubit Pauli operators defined on a given layer

    Logical state To understand how logical information is stored and propagated in the RHG lattice, we distinguish between two objects: thelogical operatorand thecorrelation surface. A logical operator is a one-dimensional prod- uct of single-qubit Pauli operators defined on a given layer. A correlation surface is a two-dimensional prod- uct over single-qubi...

  5. [5]

    Error correction The error-correction procedure in the RHG lattice is a three-dimensional generalization of the surface-code procedure. See Ref. [119] for a review. The main differ- ence is that RHG error correction uses only single-qubit measurements, all performed in theXbasis, rather than explicit ancilla-based stabilizer measurements. As a result, ins...

  6. [6]

    Under conjugation, it mapsXtoY=iXZ

    S gate The phase gate is aπ/2 rotation about theZaxis, 1 0 0i . Under conjugation, it mapsXtoY=iXZ. A logical Sgate must therefore implementX L →Y L =iX LZL while preserving the stabilizer structure. A simple approach is to inject a logicalY L ∝ |0⟩ L + i|1⟩ L resource state and use gate teleportation. In the RHG lattice, such a state can be initialized b...

  7. [7]

    It is defined by   1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0  

    CNOT gate The only two-qubit gate required to complete the Clifford set is CNOT. It is defined by   1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0   . In surface-code and RHG architectures, the two stan- dard fault-tolerant implementations are lattice surgery, which uses merge-and-split operations through joint stabilizer measurements [94, 115, 128], and transver-...

  8. [8]

    Preskill, Crossing the quantum chasm: From NISQ to fault tolerance (2023)

    J. Preskill, Crossing the quantum chasm: From NISQ to fault tolerance (2023)

    2023

  9. [9]

    Mind the gaps: The fraught road to quantum advantage

    J. Eisert and J. Preskill, Mind the gaps: The fraught road to quantum advantage, arXiv preprint arXiv:2510.19928 (2026)

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  10. [10]

    How to factor 2048 bit RSA integers with less than a million noisy qubits

    C. Gidney, How to factor 2048 bit RSA integers with less than a million noisy qubits, arXiv preprint arXiv:2505.15917 (2025)

    work page internal anchor Pith review Pith/arXiv arXiv 2048

  11. [11]

    L. Z. Cohen, I. H. Kim, S. D. Bartlett, and B. J. Brown, Low-overhead fault-tolerant quantum com- puting using long-range connectivity, Science Ad- vances8(2022)

    2022

  12. [12]

    Baspin and A

    N. Baspin and A. Krishna, Connectivity constrains quantum codes, Quantum6, 711 (2022)

    2022

  13. [13]

    Architecting Distributed Quantum Computers: Design Insights from Resource Estimation

    D. Filippov, P. Yang, and P. Murali, Architecting dis- tributed quantum computers: Design insights from resource estimation, arXiv preprint arXiv:2508.19160 (2026)

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  14. [14]

    How to Build a Quantum Supercomputer: Scaling from Hundreds to Millions of Qubits

    M. Mohseni, A. Scherer, K. G. Johnson, O. Wertheim, M. Otten, N. Anand, N. A. Aadit, Y. Alexeev, G. Ben-Shach, K. M. Bresniker,et al., How to build a quantum supercomputer: Scaling from hundreds to millions of qubits, arXiv preprint arXiv:2411.10406 (2024)

    work page internal anchor Pith review Pith/arXiv arXiv 2024

  15. [15]

    Megrant and Y

    A. Megrant and Y. Chen, Scaling up superconducting quantum computers, Nature Electronics8, 549 (2025)

    2025

  16. [16]

    K. Wang, Z. Lu, C. Zhang, G. Liu, J. Chen, Y. Wang, Y. Wu, S. Xu, X. Zhu, F. Jin, Y. Gao, Z. Tan, Z. Cui, N. Wang, Y. Zou, A. Zhang, T. Li, F. Shen, J. Zhong, Z. Bao, Z. Zhu, Y. Han, Y. He, J. Shen, H. Wang, J.-N. Yang, Z. Song, J. Deng, H. Dong, Z.-Z. Sun, W. Li, Q. Ye, S. Jiang, Y. Ma, P.-X. Shen, P. Zhang, H. Li, Q. Guo, Z. Wang, C. Song, H. Wang, and ...

    2026

  17. [17]

    Bravyi, A

    S. Bravyi, A. W. Cross, J. M. Gambetta, D. Maslov, P. Rall, and T. J. Yoder, High-threshold and low- overhead fault-tolerant quantum memory, Nature 627, 778 (2024)

    2024

  18. [18]

    Mathews, L

    M. Mathews, L. Pahl, D. Pahl, V. L. Addala, C. Tang, W. D. Oliver, and J. A. Grover, Placing and routing quantum LDPC codes in multilayer superconducting hardware, npj Quantum Information (2026)

    2026

  19. [19]

    K. A. Landsman, Y. Wu, P. H. Leung, D. Zhu, N. M. Linke, K. R. Brown, L. Duan, and C. Monroe, Two- qubit entangling gates within arbitrarily long chains of trapped ions, Phys. Rev. A100, 022332 (2019)

    2019

  20. [20]

    Nonlinear Coupling between Motional Modes in Trapped Ion Quantum Processors

    W. Johnson and B. Ruzic, Nonlinear coupling between motional modes in trapped ion quantum processors, arXiv preprint arXiv:2510.07590 (2025)

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  21. [21]

    S. J. Evered, D. Bluvstein, M. Kalinowski, S. Ebadi, T. Manovitz, H. Zhou, S. H. Li, A. A. Geim, T. T. 27 Wang, N. Maskara,et al., High-fidelity parallel en- tangling gates on a neutral-atom quantum computer, Nature622, 268 (2023)

    2023

  22. [22]

    B. W. Reichardt, A. Paetznick, D. Aasen, I. Basov, J. M. Bello-Rivas, P. Bonderson, R. Chao, W. van Dam, M. B. Hastings, R. V. Mishmash,et al., Fault- tolerant quantum computation with a neutral atom processor, arXiv preprint arXiv:2411.11822 (2024)

    work page internal anchor Pith review Pith/arXiv arXiv 2024

  23. [23]

    S. Khan, S. Sethi, K. Sahay, Y. Lin, J. Alnas, S. Kurapati, A. Anand, J. M. Baker, and K. R. Brown, Architecting early fault-tolerant neutral atoms systems with quantum advantage, arXiv preprint arXiv:2604.19735 (2026)

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  24. [24]

    Kn¨ orzer, X

    J. Kn¨ orzer, X. Liu, B. F. Schiffer, and J. Tura, Dis- tributed quantum information processing: A review of recent progress, arXiv preprint arXiv:2510.15630 (2025)

    work page arXiv 2025

  25. [25]

    AbuGhanem, Toward scalable fault-tolerant pho- tonic quantum computers, The Journal of Supercom- puting82, 51 (2026)

    M. AbuGhanem, Toward scalable fault-tolerant pho- tonic quantum computers, The Journal of Supercom- puting82, 51 (2026)

    2026

  26. [26]

    H. Zhu, T. Chen, H. Ma, Z. Zhao, J. Guo, Q. Liang, Y. Tu, T. He, W. Luo, B. Wang,et al., Recent progress towards large-scale integrated photonic quantum com- putation, npj Nanophotonics3, 20 (2026)

    2026

  27. [27]

    J. E. Bourassa, R. N. Alexander, M. Vasmer, A. Patil, I. Tzitrin, T. Matsuura, D. Su, B. Q. Baragiola, S. Guha, G. Dauphinais,et al., Blueprint for a scalable photonic fault-tolerant quantum computer, Quantum 5, 392 (2021)

    2021

  28. [28]

    P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Linear optical quantum computing with photonic qubits, Rev. Mod. Phys.79, 135 (2007)

    2007

  29. [29]

    Rudolph, Why I am optimistic about the silicon- photonic route to quantum computing, APL photonics 2(2017)

    T. Rudolph, Why I am optimistic about the silicon- photonic route to quantum computing, APL photonics 2(2017)

    2017

  30. [30]

    Romero and G

    J. Romero and G. Milburn, Photonic quantum com- puting, arXiv preprint arXiv:2404.03367 (2024)

    work page arXiv 2024

  31. [31]

    Bombin, I

    H. Bombin, I. H. Kim, D. Litinski, N. Nick- erson, M. Pant, F. Pastawski, S. Roberts, and T. Rudolph, Interleaving: Modular architectures for fault-tolerant photonic quantum computing, arXiv:2103.08612 (2021)

    work page arXiv 2021

  32. [32]

    Raussendorf and H

    R. Raussendorf and H. J. Briegel, A one-way quantum computer, Phys. Rev. Lett.86, 5188 (2001)

    2001

  33. [33]

    Raussendorf, J

    R. Raussendorf, J. Harrington, and K. Goyal, A fault- tolerant one-way quantum computer, Ann. Phys.321, 2242 (2006)

    2006

  34. [34]

    Raussendorf, J

    R. Raussendorf, J. Harrington, and K. Goyal, Topo- logical fault-tolerance in cluster state quantum com- putation, New J. Phys.9, 199 (2007)

    2007

  35. [35]

    Bartolucci, P

    S. Bartolucci, P. Birchall, H. Bombin, H. Cable, C. Dawson, M. Gimeno-Segovia, E. Johnston, K. Kiel- ing, N. Nickerson, M. Pant,et al., Fusion-based quan- tum computation, Nat. Commun.14, 912 (2023)

    2023

  36. [36]

    H. J. Briegel, D. E. Browne, W. D¨ ur, R. Raussendorf, and M. Van den Nest, Measurement-based quantum computation, Nat. Phys.5, 19 (2009)

    2009

  37. [37]

    H. J. Briegel and R. Raussendorf, Persistent entan- glement in arrays of interacting particles, Phys. Rev. Lett.86, 910 (2001)

    2001

  38. [38]

    M. Hein, J. Eisert, and H. J. Briegel, Multiparty en- tanglement in graph states, Phys. Rev. A69, 062311 (2004)

    2004

  39. [39]

    J. H. Shapiro, Single-photon kerr nonlinearities do not help quantum computation, Phys. Rev. A73, 062305 (2006)

    2006

  40. [40]

    A. N. Poddubny, S. Rosenblum, and B. Dayan, How single-photon switching is quenched with multiple Λ– level atoms, Phys. Rev. Lett.133, 113601 (2024)

    2024

  41. [41]

    D. C. Burnham and D. L. Weinberg, Observation of simultaneity in parametric production of optical pho- ton pairs, Phys. Rev. Lett.25, 84 (1970)

    1970

  42. [42]

    P. G. Kwiat, E. Waks, A. G. White, I. Appel- baum, and P. H. Eberhard, Ultrabright source of polarization-entangled photons, Physical Review A 60, R773 (1999)

    1999

  43. [43]

    T. B. Pittman, B. C. Jacobs, and J. D. Franson, Sin- gle photons on pseudodemand from stored paramet- ric down-conversion, Physical Review A66, 042303 (2002)

    2002

  44. [44]

    J. E. Sharping, K. F. Lee, M. A. Foster, A. C. Turner, B. S. Schmidt, M. Lipson, A. L. Gaeta, and P. Kumar, Generation of correlated photons in nanoscale silicon waveguides, Optics Express14, 12388 (2006)

    2006

  45. [45]

    Reimer, L

    C. Reimer, L. Caspani, M. Clerici, M. Ferrera, M. Kues, M. Peccianti, A. Pasquazi, L. Razzari, B. E. Little, S. T. Chu, D. J. Moss, and R. Morandotti, Integrated frequency comb source of heralded single photons, Optics Express22, 6535 (2014)

    2014

  46. [46]

    J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Mar- shall, J. G. Rarity, J. L. O’Brien, and M. G. Thomp- son, On-chip quantum interference between silicon photon-pair sources, Nature Photonics8, 104 (2014)

    2014

  47. [47]

    D. E. Browne and T. Rudolph, Resource-efficient lin- ear optical quantum computation, Phys. Rev. Lett. 95, 010501 (2005)

    2005

  48. [48]

    Varnava, D

    M. Varnava, D. E. Browne, and T. Rudolph, How good must single photon sources and detectors be for efficient linear optical quantum computation?, Phys. Rev. Lett.100, 060502 (2008)

    2008

  49. [49]

    Y. Li, P. C. Humphreys, G. J. Mendoza, and S. C. Benjamin, Resource costs for fault-tolerant linear op- tical quantum computing, Phys. Rev. X5, 041007 (2015)

    2015

  50. [50]

    Bartolucci, P

    S. Bartolucci, P. M. Birchall, M. Gimeno-Segovia, E. Johnston, K. Kieling, M. Pant, T. Rudolph, J. Smith, C. Sparrow, and M. D. Vidrighin, Creation of entangled photonic states using linear optics, arXiv preprint arXiv:2106.13825 (2021)

    work page arXiv 2021

  51. [51]

    M. L. Chan, A. A. Capatos, P. Lodahl, A. S. Sørensen, and S. Paesani, Practical blueprint for low-depth pho- tonic quantum computing with quantum dots, arXiv preprint arXiv:2507.16152 (2025)

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  52. [52]

    Near-identical photons from distant quantum dot-cavity devices

    T. Pollet, V. Guilloux, D.-D. Tran, A. Pishchagin, S. Wein, J. A. Sulpizio, W. Hease, P. Stepanov, P. Steindl, N. Margaria,et al., Near-identical pho- tons from distant quantum dot-cavity devices, arXiv preprint arXiv:2604.25615 (2026)

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  53. [53]

    Bartolucci, T

    S. Bartolucci, T. Bell, H. Bombin, P. Birchall, J. Bulmer, C. Dawson, T. Farrelly, S. Gartenstein, M. Gimeno-Segovia, D. Litinski, Y. Liu, R. Knegjens, N. Nickerson, A. Olivo, M. Pant, A. Patil, S. Roberts, T. Rudolph, C. Sparrow, D. Tuckett, and A. Veitia, Comparison of schemes for highly loss tolerant pho- tonic fusion based quantum computing, arXiv pre...

    work page arXiv 2025

  54. [54]

    Aqua and B

    Z. Aqua and B. Dayan, Atom-mediated determinis- tic generation and stitching of photonic graph states, PRX Quantum6, 010340 (2025)

    2025

  55. [55]

    R. J. Thompson, G. Rempe, and H. J. Kimble, Ob- servation of normal-mode splitting for an atom in an optical cavity, Phys. Rev. Lett.68, 1132 (1992)

    1992

  56. [56]

    Haroche and J.-M

    S. Haroche and J.-M. Raimond,Exploring the Quan- tum: Atoms, Cavities, and Photons, Oxford Graduate Texts (Oxford University Press, New York, 2013). 28

    2013

  57. [57]

    Duan and H

    L.-M. Duan and H. J. Kimble, Scalable photonic quan- tum computation through cavity-assisted interactions, Phys. Rev. Lett.92, 127902 (2004)

    2004

  58. [58]

    Reiserer, N

    A. Reiserer, N. Kalb, G. Rempe, and S. Ritter, A quantum gate between a flying optical photon and a single trapped atom, Nature508, 237 (2014)

    2014

  59. [59]

    N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, Stimulated Raman adiabatic passage in physics, chemistry, and beyond, Rev. Mod. Phys. 89, 015006 (2017)

    2017

  60. [60]

    Hennrich, T

    M. Hennrich, T. Legero, A. Kuhn, and G. Rempe, Vacuum-stimulated Raman scattering based on adi- abatic passage in a high-finesse optical cavity, Phys. Rev. Lett.85, 4872 (2000)

    2000

  61. [61]

    A. Kuhn, M. Hennrich, and G. Rempe, Determinis- tic single-photon source for distributed quantum net- working, Phys. Rev. Lett.89, 067901 (2002)

    2002

  62. [62]

    Kuhn and D

    A. Kuhn and D. Ljunggren, Cavity-based single- photon sources, Contemporary Physics51, 289 (2010)

    2010

  63. [64]

    Vasic, V

    B. Vasic, V. Savin, M. Pacenti, S. Borah, and N. Raveendran, Quantum low-density parity-check codes, arXiv preprint arXiv:2510.14090 (2025)

    work page arXiv 2025

  64. [65]

    Panteleev and G

    P. Panteleev and G. Kalachev, Asymptotically good quantum and locally testable classical LDPC codes, in Proceedings of the 54th annual ACM SIGACT sympo- sium on theory of computing(2022) pp. 375–388

    2022

  65. [66]

    Leverrier and G

    A. Leverrier and G. Z´ emor, Quantum tanner codes, in 2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS)(IEEE, 2022) pp. 872– 883

    2022

  66. [67]

    Lin and M.-H

    T.-C. Lin and M.-H. Hsieh, Good quantum LDPC codes with linear time decoder from lossless ex- panders, arXiv preprint arXiv:2203.03581 (2022)

    work page arXiv 2022

  67. [68]

    Jiang, C

    Y.-Y. Jiang, C. Deng, H. Fan, B.-Y. Li, L. Sun, X.-S. Tan, W. Wang, G.-M. Xue, F. Yan, H.-F. Yu, Y.- S. Zhang, Y.-R. Zhang, and C.-L. Zou, Advancements in superconducting quantum computing, National Sci- ence Review12, nwaf246 (2025)

    2025

  68. [69]

    Hunger, T

    D. Hunger, T. Steinmetz, Y. Colombe, C. Deutsch, T. W. H¨ ansch, and J. Reichel, A fiber Fabry–P´ erot cavity with high finesse, New Journal of Physics12, 065038 (2010)

    2010

  69. [70]

    Pfeifer, L

    H. Pfeifer, L. Ratschbacher, J. Gallego, C. Saavedra, A. Faßbender, A. Von Haaren, W. Alt, S. Hofferberth, M. K¨ ohl, S. Linden, and D. Meschede, Achievements and perspectives of optical fiber Fabry–P´ erot cavities, Applied Physics B128, 29 (2022)

    2022

  70. [71]

    Gallego, S

    J. Gallego, S. Ghosh, S. K. Alavi, W. Alt, M. Martinez-Dorantes, D. Meschede, and L. Ratschbacher, High-finesse fiber Fabry–P´ erot cavities: stabilization and mode matching analysis, Applied Physics B122, 47 (2016)

    2016

  71. [72]

    Kikura, R

    S. Kikura, R. Inoue, H. Yamasaki, A. Goban, and S. Sunami, Taming the recoil effect in cavity-assisted quantum interconnects, PRX Quantum6, 040351 (2025)

    2025

  72. [73]

    Y. Yu, S. Saha, M. Shalaev, G. Toh, J. O’reilly, I. Goetting, A. Kalakuntla, and C. Monroe, Entanglement-fidelity limits of photonically net- worked atomic qubits from recoil and timing, Physical Review A113, 012620 (2026)

    2026

  73. [74]

    Apol´ ın and D

    J. Apol´ ın and D. P. Nadlinger, Recoil-induced er- rors and their correction in photon-mediated entan- glement between atomic qubits, PRX Quantum7, 010326 (2026)

    2026

  74. [75]

    C. W. Gardiner and M. J. Collett, Input and out- put in damped quantum systems: Quantum stochastic differential equations and the master equation, Phys. Rev. A31, 3761 (1985)

    1985

  75. [76]

    H. J. Carmichael, Quantum trajectory theory for cas- caded open systems, Phys. Rev. Lett.70, 2273 (1993)

    1993

  76. [77]

    Reiserer and G

    A. Reiserer and G. Rempe, Cavity-based quantum networks with single atoms and optical photons, Rev. Mod. Phys.87, 1379 (2015)

    2015

  77. [78]

    Nagib, P

    O. Nagib, P. Huft, A. Safari, and M. Saffman, Robust atom-photon gate for quantum information process- ing, Phys. Rev. A109, 032602 (2024)

    2024

  78. [79]

    J. Volz, M. Weber, D. Schlenk, W. Rosenfeld, J. Vrana, K. Saucke, C. Kurtsiefer, and H. Weinfurter, Observation of entanglement of a single photon with a trapped atom, Phys. Rev. Lett.96, 030404 (2006)

    2006

  79. [80]

    T. Wilk, S. C. Webster, A. Kuhn, and G. Rempe, Single-atom single-photon quantum interface, Science 317, 488 (2007)

    2007

  80. [81]

    Finkelstein, S

    R. Finkelstein, S. Bali, O. Firstenberg, and I. Novikova, A practical guide to electromagnetically induced transparency in atomic vapor, New J. Phys. 25, 035001 (2023)

    2023

Showing first 80 references.