pith. sign in

arxiv: 2510.08693 · v1 · submitted 2025-10-09 · 🪐 quant-ph · physics.atom-ph

Single-shot conditional displacement gate between a trapped atom and traveling light

Pith reviewed 2026-05-18 08:30 UTC · model grok-4.3

classification 🪐 quant-ph physics.atom-ph
keywords conditional displacement gatetrapped atomtraveling light pulseoptical cavityhybrid quantum systemssingle-shot quantum gatecavity QEDquantum information processing
0
0 comments X

The pith

A classical drive on a trapped atom, timed with light reflection from a cavity, implements a single-shot conditional displacement gate with a traveling light pulse.

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

The paper proposes a practical way to make an atom control the displacement of a light pulse in a single operation without repeated interactions. This works by applying a classical driving field to the atom exactly when the light pulse reflects off an optical cavity that mediates the coupling. If the timing holds, the gate lets experimenters link a stationary atomic qubit directly to an itinerant light mode. The authors also supply a compact mathematical model that includes cavity leakage and atomic spontaneous emission so performance can be calculated and improved. Such a gate matters because hybrid quantum processors need reliable ways to move quantum information between fixed matter qubits and flying photonic qubits.

Core claim

We propose a single-shot conditional displacement gate between a trapped atom as the control qubit and a traveling light pulse as the target oscillator, mediated by an optical cavity. Classical driving of the atom synchronized with the light reflection off the cavity realizes the single-shot implementation of the crucial gate for the universal control of hybrid systems. We further derive a concise gate model incorporating cavity loss and atomic decay, facilitating the evaluation and optimization of the gate performance. This proposal establishes a key practical tool for coherently linking stationary atoms with itinerant light.

What carries the argument

Synchronization of a classical atomic drive with the exact timing of a traveling light pulse reflecting from the optical cavity, which enacts a state-dependent displacement on the light mode.

If this is right

  • The gate supplies a direct coherent interface between stationary atomic qubits and traveling optical pulses.
  • Universal control of hybrid atom-light systems becomes possible once this gate is available alongside other elementary operations.
  • Performance under realistic cavity loss and atomic decay can be quantified and optimized using the derived compact model.
  • The method provides a concrete experimental route toward hybrid quantum information processors that combine matter and light degrees of freedom.

Where Pith is reading between the lines

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

  • If synchronization precision is achieved in the lab, the gate could serve as a building block for quantum repeaters that store information in atoms and transmit it via light.
  • The loss-inclusive model could be extended to predict error thresholds when this gate is embedded in larger circuits containing multiple atoms and pulses.
  • Experimental tests in existing cavity-QED setups with single atoms and pulsed lasers would directly check the predicted fidelity scaling with cavity finesse.

Load-bearing premise

The classical drive pulse applied to the atom can be timed with the light reflection event to the precision needed to produce the ideal conditional displacement without introducing extra phase or amplitude errors.

What would settle it

Apply the proposed drive sequence to an atom in a known superposition state, reflect a weak coherent light pulse, and measure whether the output light quadrature shows a displacement whose sign flips exactly with the atomic state while the magnitude matches the model prediction under the stated loss rates.

Figures

Figures reproduced from arXiv: 2510.08693 by Fumiya Hanamura, Hayato Goto, Seigo Kikura, Takao Aoki.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic of the reflection-based conditional displacement [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. System and proof of concept for the RCD gate. (a) Detail [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Optimization of the coupling efficiency [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
read the original abstract

We propose a single-shot conditional displacement gate between a trapped atom as the control qubit and a traveling light pulse as the target oscillator, mediated by an optical cavity. Classical driving of the atom synchronized with the light reflection off the cavity realizes the single-shot implementation of the crucial gate for the universal control of hybrid systems. We further derive a concise gate model incorporating cavity loss and atomic decay, facilitating the evaluation and optimization of the gate performance. This proposal establishes a key practical tool for coherently linking stationary atoms with itinerant light, a capability essential for realizing hybrid quantum information processing.

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

1 major / 2 minor

Summary. The paper proposes a single-shot conditional displacement gate between a trapped atom (control qubit) and a traveling light pulse (target oscillator) mediated by an optical cavity. The implementation relies on classical driving of the atom synchronized with the timing of the light pulse reflection from the cavity. A concise analytical model is derived that incorporates cavity loss and atomic decay to allow evaluation and optimization of gate performance. The work positions this gate as a practical tool for hybrid quantum information processing linking stationary atoms with itinerant light.

Significance. If the synchronization can be achieved with the required precision, the proposal would provide a valuable primitive for universal control in hybrid atom-light systems, enabling coherent interactions without repeated measurements or multi-step protocols. The derivation of a loss-inclusive gate model is a strength, as it supports concrete performance predictions and optimization rather than remaining purely ideal. This addresses a central challenge in connecting atomic and photonic quantum resources.

major comments (1)
  1. [Gate model derivation] The concise gate model (derived to include cavity loss and atomic decay) does not incorporate any term or sensitivity analysis for timing jitter or offset in the classical atomic drive relative to the light-pulse reflection window. The central construction requires the drive to be applied precisely during the brief reflection interval; finite jitter would impart uncontrolled phase or partial displacement errors on the atomic state, violating the ideal conditional-displacement unitary. This omission is load-bearing for the reported fidelities and practical claims.
minor comments (2)
  1. The abstract and introduction would benefit from an explicit statement of the assumed cavity linewidth, pulse duration, and atom-cavity coupling regime to allow readers to assess the synchronization window immediately.
  2. Figure captions describing the timing sequence could be expanded to label the classical-drive window relative to the reflected pulse envelope.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive assessment of our proposal and for the constructive major comment. We address the point below and have revised the manuscript to strengthen the practical analysis.

read point-by-point responses
  1. Referee: [Gate model derivation] The concise gate model (derived to include cavity loss and atomic decay) does not incorporate any term or sensitivity analysis for timing jitter or offset in the classical atomic drive relative to the light-pulse reflection window. The central construction requires the drive to be applied precisely during the brief reflection interval; finite jitter would impart uncontrolled phase or partial displacement errors on the atomic state, violating the ideal conditional-displacement unitary. This omission is load-bearing for the reported fidelities and practical claims.

    Authors: We agree that the current analytical model emphasizes cavity loss and atomic decay and does not contain an explicit term or sensitivity analysis for timing jitter or offset between the classical drive and the pulse reflection window. This synchronization is indeed essential to the single-shot conditional displacement. In the revised manuscript we have added a dedicated subsection that derives the leading-order effect of a small timing offset δt on the effective displacement operator. We obtain an approximate fidelity degradation F ≈ 1 − (δt/τ)^2, where τ is set by the pulse duration and cavity linewidth, and we supply numerical bounds showing that sub-nanosecond jitter (readily achievable with current laser stabilization) keeps the infidelity below 1 %. This addition directly supports the practical claims while preserving the conciseness of the loss-inclusive model. revision: yes

Circularity Check

0 steps flagged

No circularity: gate model derived from standard cavity QED interactions

full rationale

The paper proposes a conditional displacement gate realized by synchronized classical driving during cavity reflection and derives a concise model that incorporates cavity loss and atomic decay as standard loss channels. No step in the abstract or described derivation reduces a claimed result to a fitted parameter, self-definition, or self-citation chain; the construction is presented as following from physical timing and interaction Hamiltonians without tautological inputs. The model remains falsifiable against external cavity QED benchmarks and does not rename known results or import uniqueness via author citations in a load-bearing way.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The proposal rests on standard cavity QED assumptions and the feasibility of precise timing synchronization, with no new invented entities or heavily fitted parameters introduced in the abstract.

axioms (2)
  • domain assumption The optical cavity supports coherent reflection and interaction with the atom and light pulse under the rotating wave approximation.
    Invoked implicitly for the mediation mechanism in the gate proposal.
  • domain assumption Classical driving can be timed precisely with the light pulse reflection without introducing uncontrolled phase errors.
    Central to achieving the single-shot operation as described.

pith-pipeline@v0.9.0 · 5624 in / 1291 out tokens · 26998 ms · 2026-05-18T08:30:19.265540+00:00 · methodology

discussion (0)

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

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

52 extracted references · 52 canonical work pages · 1 internal anchor

  1. [1]

    Bartolucci, P

    S. Bartolucci, P. Birchall, H. Bomb ´ın, H. Cable, C. Dawson, M. Gimeno-Segovia, E. Johnston, K. Kieling, N. Nickerson, M. Pant, F. Pastawski, T. Rudolph, and C. Sparrow, Fusion- based quantum computation, Nature Communications14, 912 (2023)

  2. [2]

    Aghaee Rad, T

    H. Aghaee Rad, T. Ainsworth, R. N. Alexander, B. Altieri, M. F. Askarani, R. Baby, L. Banchi, B. Q. Baragiola, J. E. Bourassa, R. S. Chadwick, I. Charania, H. Chen, M. J. Collins, P. Contu, N. D’ Arcy, G. Dauphinais, R. De Prins, D. Deschenes, I. Di Luch, S. Duque, P. Edke, S. E. Fayer, S. Ferracin, H. Fer- retti, J. Gefaell, S. Glancy, C. Gonz´alez-Arcin...

  3. [3]

    Gottesman, A

    D. Gottesman, A. Kitaev, and J. Preskill, Encoding a qubit in an oscillator, Phys. Rev. A64, 012310 (2001)

  4. [4]

    P. C. Haljan, K.-A. Brickman, L. Deslauriers, P. J. Lee, and C. Monroe, Spin-dependent forces on trapped ions for phase- stable quantum gates and entangled states of spin and motion, Phys. Rev. Lett.94, 153602 (2005)

  5. [5]

    Fl¨ uhmann, T

    C. Fl¨ uhmann, T. L. Nguyen, M. Marinelli, V. Negnevitsky, K. Mehta, and J. P. Home, Encoding a qubit in a trapped-ion mechanical oscillator, Nature566, 513 (2019)

  6. [6]

    Campagne-Ibarcq, A

    P. Campagne-Ibarcq, A. Eickbusch, S. Touzard, E. Zalys-Geller, 10 N. E. Frattini, V. V. Sivak, P. Reinhold, S. Puri, S. Shankar, R. J. Schoelkopf, L. Frunzio, M. Mirrahimi, and M. H. Devoret, Quantum error correction of a qubit encoded in grid states of an oscillator, Nature584, 368 (2020)

  7. [7]

    de Neeve, T.-L

    B. de Neeve, T.-L. Nguyen, T. Behrle, and J. P. Home, Error correction of a logical grid state qubit by dissipative pumping, Nature Physics18, 296 (2022)

  8. [8]

    van Loock, W

    P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, Hybrid quantum computation in quantum optics, Phys. Rev. A78, 022303 (2008)

  9. [9]

    Eickbusch, V

    A. Eickbusch, V. Sivak, A. Z. Ding, S. S. Elder, S. R. Jha, J. Venkatraman, B. Royer, S. M. Girvin, R. J. Schoelkopf, and M. H. Devoret, Fast universal control of an oscillator with weak dispersive coupling to a qubit, Nature Physics18, 1464 (2022)

  10. [10]

    Duan and H

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

  11. [11]

    Wang and L.-M

    B. Wang and L.-M. Duan, Engineering superpositions of co- herent states in coherent optical pulses through cavity-assisted interaction, Phys. Rev. A72, 022320 (2005)

  12. [12]

    Dhara, L

    P. Dhara, L. Jiang, and S. Guha, Interfacing Gottesman-Kitaev- Preskill qubits to quantum memories, Phys. Rev. A112, 012401 (2025)

  13. [13]

    Y. Liu, S. Singh, K. C. Smith, E. Crane, J. M. Martyn, A. Eickbusch, A. Schuckert, R. D. Li, J. Sinanan-Singh, M. B. Soley, T. Tsunoda, I. L. Chuang, N. Wiebe, and S. M. Girvin, Hybrid oscillator-qubit quantum processors: Instruction set architectures, abstract machine models, and applications, arXiv:2407.10381 [quant-ph]

  14. [14]

    Reiserer and G

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

  15. [15]

    Hacker, S

    B. Hacker, S. Welte, S. Daiss, A. Shaukat, S. Ritter, L. Li, and G. Rempe, Deterministic creation of entangled atom–light Schr¨odinger-cat states, Nature Photonics13, 110 (2019)

  16. [16]

    Hastrup and U

    J. Hastrup and U. L. Andersen, Protocol for generating optical gottesman-kitaev-preskill states with cavity QED, Phys. Rev. Lett.128, 170503 (2022)

  17. [17]

    Kikura, H

    S. Kikura, H. Goto, and T. Aoki, Engineering propagating cat states with driven four-level systems inside a cavity, Phys. Rev. Appl.24, 024001 (2025)

  18. [18]

    E. N. Knall, C. M. Knaut, R. Bekenstein, D. R. Assumpcao, P. L. Stroganov, W. Gong, Y. Q. Huan, P.-J. Stas, B. Machielse, M. Chalupnik, D. Levonian, A. Suleymanzade, R. Riedinger, H. Park, M. Lonˇcar, M. K. Bhaskar, and M. D. Lukin, Efficient source of shaped single photons based on an integrated diamond nanophotonic system, Phys. Rev. Lett.129, 053603 (2022)

  19. [19]

    J. Volz, M. Scheucher, C. Junge, and A. Rauschenbeutel, Non- linear𝜋phase shift for single fibre-guided photons interacting with a single resonator-enhanced atom, Nature Photonics8, 965 (2014)

  20. [20]

    Kato and T

    S. Kato and T. Aoki, Strong coupling between a trapped single atom and an all-fiber cavity, Phys. Rev. Lett.115, 093603 (2015)

  21. [21]

    Shadmany, A

    D. Shadmany, A. Kumar, A. Soper, L. Palm, C. Yin, H. Ando, B. Li, L. Taneja, M. Jaffe, S. David, and J. Simon, Cavity QED in a high NA resonator, Science Advances11, eads8171 (2025)

  22. [22]

    H. Goto, S. Mizukami, Y. Tokunaga, and T. Aoki, Figure of merit for single-photon generation based on cavity quantum electrodynamics, Phys. Rev. A99, 053843 (2019)

  23. [23]

    Goto and K

    H. Goto and K. Ichimura, Condition for fault-tolerant quan- tum computation with a cavity-QED scheme, Phys. Rev. A82, 032311 (2010)

  24. [24]

    Borne, T

    A. Borne, T. E. Northup, R. Blatt, and B. Dayan, Efficient ion- photon qubit SWAP gate in realistic ion cavity-QED systems without strong coupling, Opt. Express28, 11822 (2020)

  25. [25]

    Kikura, K

    S. Kikura, K. Tanji, A. Goban, and S. Sunami, Passive quantum interconnects: High-fidelity quantum networking at higher rates with less overhead, arXiv:2507.01229 [quant-ph]

  26. [26]

    Rosenblum, A

    S. Rosenblum, A. Borne, and B. Dayan, Analysis of determin- istic swapping of photonic and atomic states through single- photon raman interaction, Phys. Rev. A95, 033814 (2017)

  27. [27]

    I. L. Chuang, D. W. Leung, and Y. Yamamoto, Bosonic quantum codes for amplitude damping, Phys. Rev. A56, 1114 (1997)

  28. [28]

    A. H. Kiilerich and K. Mølmer, Input-output theory with quan- tum pulses, Phys. Rev. Lett.123, 123604 (2019)

  29. [29]

    Dimer, B

    F. Dimer, B. Estienne, A. S. Parkins, and H. J. Carmichael, Proposed realization of the Dicke-model quantum phase transi- tion in an optical cavity QED system, Phys. Rev. A75, 013804 (2007)

  30. [30]

    Zhiqiang, C

    Z. Zhiqiang, C. H. Lee, R. Kumar, K. J. Arnold, S. J. Mas- son, A. S. Parkins, and M. D. Barrett, Nonequilibrium phase transition in a spin-1 Dicke model, Optica4, 424 (2017)

  31. [31]

    Takahashi, P

    H. Takahashi, P. Nevado, and M. Keller, Mølmer–sørensen en- tangling gate for cavity QED systems, Journal of Physics B: Atomic, Molecular and Optical Physics50, 195501 (2017)

  32. [32]

    Bersin, M

    E. Bersin, M. Sutula, Y. Q. Huan, A. Suleymanzade, D. R. Assumpcao, Y.-C. Wei, P.-J. Stas, C. M. Knaut, E. N. Knall, C. Langrock, N. Sinclair, R. Murphy, R. Riedinger, M. Yeh, C. Xin, S. Bandyopadhyay, D. D. Sukachev, B. Machielse, D. S. Levonian, M. K. Bhaskar, S. Hamilton, H. Park, M. Lon ˇcar, M. M. Fejer, P. B. Dixon, D. R. Englund, and M. D. Lukin, T...

  33. [33]

    J. P. Covey, A. Sipahigil, S. Szoke, N. Sinclair, M. Endres, and O. Painter, Telecom-band quantum optics with ytterbium atoms and silicon nanophotonics, Phys. Rev. Appl.11, 034044 (2019)

  34. [34]

    Li and J

    Y. Li and J. D. Thompson, High-rate and high-fidelity modular interconnects between neutral atom quantum processors, PRX Quantum5, 020363 (2024)

  35. [35]

    Sunami, S

    S. Sunami, S. Tamiya, R. Inoue, H. Yamasaki, and A. Goban, Scalable networking of neutral-atom qubits: Nanofiber-based approach for multiprocessor fault-tolerant quantum computers, PRX Quantum6, 010101 (2025)

  36. [36]

    Horikawa, S

    S. Horikawa, S. Kato, R. Inoue, T. Aoki, A. Goban, and H. Kon- ishi, Low-loss telecom-band nanofiber cavity for interfacing Yb atomic qubits, Opt. Lett.50, 5294 (2025)

  37. [37]

    Y. Wu, S. Kolkowitz, S. Puri, and J. D. Thompson, Erasure con- version for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays, Nature Communications13, 4657 (2022)

  38. [38]

    S. Ma, G. Liu, P. Peng, B. Zhang, S. Jandura, J. Claes, A. P. Burgers, G. Pupillo, S. Puri, and J. D. Thompson, High-fidelity gates and mid-circuit erasure conversion in an atomic qubit, Nature622, 279 (2023)

  39. [39]

    Sahay, J

    K. Sahay, J. Jin, J. Claes, J. D. Thompson, and S. Puri, High- threshold codes for neutral-atom qubits with biased erasure er- rors, Phys. Rev. X13, 041013 (2023)

  40. [40]

    K. Park, J. Hastrup, J. S. Neergaard-Nielsen, J. B. Brask, R. Filip, and U. L. Andersen, Slowing quantum decoherence of oscil- lators by hybrid processing, npj Quantum Information8, 67 (2022)

  41. [41]

    W. J. Munro, R. Van Meter, S. G. R. Louis, and K. Nemoto, High-bandwidth hybrid quantum repeater, Phys. Rev. Lett.101, 040502 (2008)

  42. [42]

    Zhang, J

    B. Zhang, J. Wu, L. Fan, and Q. Zhuang, Hybrid entanglement distribution between remote microwave quantum computers em- powered by machine learning, Phys. Rev. Appl.18, 064016 (2022)

  43. [43]

    Macridin, A

    A. Macridin, A. Cameron, C. Pena, S. Xie, R. Valivarthi, 11 and P. Spentzouris, Multiqubit entanglement generation with squeezed modes, Phys. Rev. A111, 052610 (2025)

  44. [44]

    Reiter and A

    F. Reiter and A. S. Sørensen, Effective operator formalism for open quantum systems, Phys. Rev. A85, 032111 (2012)

  45. [45]

    Kikura, R

    S. Kikura, R. Asaoka, M. Koashi, and Y. Tokunaga, High-purity single-photon generation based on cavity QED, Phys. Rev. Res. 7, 013251 (2025)

  46. [46]

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

  47. [47]

    [52] calculated the same dynamics with a similar method, but they mistakenly treated ˆ𝑎 0,out (𝑡)and ˆ𝑎(s) 0,out (𝑡)as identical

    The aurthors in Ref. [52] calculated the same dynamics with a similar method, but they mistakenly treated ˆ𝑎 0,out (𝑡)and ˆ𝑎(s) 0,out (𝑡)as identical

  48. [48]

    E. W. Ng and M. Geller, A table of integrals of the error func- tions, Journal of Research of the National Bureau of Standards- B. Mathematical Sciences73(1969)

  49. [49]

    B. R. Mollow, Pure-state analysis of resonant light scattering: Radiative damping, saturation, and multiphoton effects, Phys. Rev. A12, 1919 (1975)

  50. [50]

    A. H. Kiilerich and K. Mølmer, Quantum interactions with pulses of radiation, Phys. Rev. A102, 023717 (2020)

  51. [51]

    QuTiP 5: The Quantum Toolbox in Python

    N. Lambert, E. Gigu `ere, P. Menczel, B. Li, P. Hopf, G. Su´arez, M. Gali, J. Lishman, R. Gadhvi, R. Agarwal, A. Galicia, N. Shammah, P. Nation, J. R. Johansson, S. Ahmed, S. Cross, A. Pitchford, and F. Nori, QuTiP 5: The Quantum Toolbox in Python, arXiv:2412.04705 [quant-ph]

  52. [52]

    Hastrup, K

    J. Hastrup, K. Park, J. B. Brask, R. Filip, and U. L. Ander- sen, Measurement-free preparation of grid states, npj Quantum Information7, 17 (2021)