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arxiv: 2605.24540 · v1 · pith:6QXC5JJOnew · submitted 2026-05-23 · 🪐 quant-ph

Code-agnostic bosonic noise suppression with hybrid rotations

Saurabh U. Shringarpure , Siheon Park , Sungjoo Cho , Yong Siah Teo , Hyukjoon Kwon , Srikrishna Omkar , Hyunseok Jeong This is my paper

Pith reviewed 2026-06-30 13:09 UTC · model grok-4.3

classification 🪐 quant-ph
keywords bosonic codesnoise suppressionhybrid CV-DV systemscontrolled Fourier gatesquantum error mitigationcontinuous-variable quantum informationthermal noiseGaussian displacement noise
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The pith

A hybrid CV-DV interferometer with one qubit ancilla suppresses thermal and Gaussian displacement noise on any bosonic code from linear to quadratic scaling.

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

The paper establishes that sandwiching a noise channel between two controlled-Fourier gates controlled by a qubit ancilla reduces the leading-order effect of thermal or displacement noise on single-mode bosonic encodings from linear in the loss rate to quadratic. The protocol requires no active error correction and no measurement of the encoded state itself. It preserves success probability at or above one half whenever the product of loss and gain parameters stays at or below one half. With additional ancillas the same structure converts photon loss into coherent Fock damping and turns thermal or displacement noise into Fock-diagonal mixtures. The construction works for arbitrary bosonic codes and simplifies to standard parity checks only for the special case of rotation-symmetric codes.

Core claim

For any single-mode bosonic code corrupted by thermal or Gaussian displacement noise at loss rate μ and amplification G, a hybrid continuous-discrete-variable interferometer using a single qubit ancilla and two controlled-Fourier gates sandwiching the noise channel suppresses its effects from linear to quadratic scaling without active error correction or destructive measurements of the encoded state, maintaining high success probabilities ≥0.5 when μG ≤0.5.

What carries the argument

The hybrid CV-DV interferometer formed by a qubit ancilla and two controlled-Fourier gates placed on either side of the noise channel.

If this is right

  • With multiple ancillas the protocol converts photon loss into coherent Fock-damping and thermal or displacement noise into a mixture of Fock-diagonal noise.
  • For 2^K-fold rotation-symmetric bosonic codes the protocol reduces to conventional error detection and projection using K ancillas.
  • Extending the ancilla to a qutrit yields resilience against both CV noise and composite DV damping noise even on encodings without a well-defined photon-number parity syndrome.
  • The scheme uses only simple gates and few ancillas, avoiding the ancilla-noise vulnerability of bypass schemes that transfer quantum information to DV registers.

Where Pith is reading between the lines

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

  • The same sandwich structure may be testable on existing continuous-variable hardware by calibrating the controlled-Fourier operation on a single bosonic mode plus qubit.
  • If the gates remain high-fidelity, the quadratic suppression could be stacked with existing bosonic error-correction layers to reduce the overhead of the latter.
  • The conversion of loss into Fock damping suggests a route to deterministic preparation of approximate code states by post-selecting on the ancilla.
  • Generalization to multi-mode channels would require commuting controlled-Fourier operations across modes but could protect distributed bosonic encodings.

Load-bearing premise

The controlled-Fourier gates can be applied perfectly without introducing extra noise on the ancilla or the bosonic mode, and the input noise consists only of the stated thermal or Gaussian displacement models at the given rates.

What would settle it

Apply the two controlled-Fourier gates with the ancilla to a known bosonic code state, let thermal or displacement noise act in the middle, then measure the output noise variance or logical error rate as a function of μG; quadratic rather than linear growth confirms the claim.

Figures

Figures reproduced from arXiv: 2605.24540 by Hyukjoon Kwon, Hyunseok Jeong, Saurabh U. Shringarpure, Siheon Park, Srikrishna Omkar, Sungjoo Cho, Yong Siah Teo.

Figure 1
Figure 1. Figure 1: FIG. 1. Bosonic noise suppression with (a) conditional rota [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Multiqubit extension for converting thermal or Gaussian [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Average suppression performances as a function of the pho [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Comparison of average suppression performance with [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Average infidelity of the eigenstates of the single-qubit [PITH_FULL_IMAGE:figures/full_fig_p007_6.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Comparison between using conditional Fouriers and the [PITH_FULL_IMAGE:figures/full_fig_p008_8.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. The CF-gate-only interferometer requires no informa [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. Qutrit-based suppression using Pauli rotations embedded [PITH_FULL_IMAGE:figures/full_fig_p009_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Comparison between qubit-based ( [PITH_FULL_IMAGE:figures/full_fig_p009_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11. The like parity codes are also resilient to the composite amplitude and phase damping ancilla noise in quantum communication. (a) [PITH_FULL_IMAGE:figures/full_fig_p016_11.png] view at source ↗
read the original abstract

Physical-level noise on traveling bosonic modes remains a critical bottleneck for scalable quantum information processing. We show that for any single-mode bosonic code (qumode) corrupted by thermal or Gaussian displacement noise at loss rate $\mu$ and amplification $G$, a hybrid continuous-discrete-variable (CV-DV) interferometer using a single qubit ancilla and two controlled-Fourier (CF) gates sandwiching the noise channel suppresses its effects from linear to quadratic scaling. This is achieved without active error correction or destructive measurements of the encoded state, maintaining high success probabilities $\geq 0.5$ when $\mu G \leq 0.5$. When supplemented with multiple ancillas, the protocol converts photon loss into coherent Fock-damping, and thermal or displacement noise into a mixture of Fock-diagonal noise. The protocol is entirely code-agnostic. For the special case of $2^K$-fold rotation-symmetric bosonic codes, it simplifies to conventional error detection and projection with $K$ ancillas. Suppression with simple gates and few ancillas demonstrates a clear hardware-efficient advantage over previously proposed ``bypass'' schemes, where quantum information transferred to the DV ancillas is readily corrupted by ancilla noise. Finally, we extend the protocol to a qutrit DV ancilla. This demonstrates resilience to both CV noise and composite DV damping noise, achieving a truly hybrid noise suppression scheme that operates effectively even on CV encodings lacking a well-defined photon-number parity syndrome.

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 / 2 minor

Summary. The manuscript claims that for any single-mode bosonic code subject to thermal or Gaussian displacement noise (loss rate μ, amplification G), a hybrid CV-DV interferometer with one qubit ancilla and two controlled-Fourier gates placed around the noise channel suppresses the noise effects from linear to quadratic scaling in μG. The protocol requires no active error correction or destructive measurements of the encoded state, achieves success probabilities ≥0.5 when μG≤0.5, is entirely code-agnostic, converts loss into Fock-damping with multiple ancillas, and extends to a qutrit ancilla for resilience against composite DV damping noise. For 2^K-fold rotation-symmetric codes it reduces to conventional error detection.

Significance. If the central derivation holds, the result is significant for hardware-efficient bosonic noise suppression. It provides a clear advantage over bypass schemes by retaining information in the CV mode and using only simple gates with few ancillas. The code-agnostic construction, the explicit conversion of noise types, and the qutrit extension are notable strengths that broaden applicability without requiring code-specific syndromes.

major comments (2)
  1. [Protocol derivation] The derivation of linear-term cancellation (main text, protocol section following the definition of the hybrid interferometer) assumes ideal controlled-Fourier gates that introduce zero additional noise on the ancilla or bosonic mode. No quantitative robustness analysis is provided for finite gate fidelity or ancilla decoherence during gate application; this assumption is load-bearing for the claimed quadratic scaling.
  2. [Success probability analysis] The success-probability bound ≥0.5 for μG≤0.5 is asserted without an explicit expression or plot showing the probability as a function of μ and G (or a table of numerical values); verification of this bound is needed to support the practical-utility claim.
minor comments (2)
  1. The title refers to 'hybrid rotations' while the text consistently uses 'controlled-Fourier gates'; a brief clarification of the relationship would improve consistency.
  2. [Qutrit extension] In the qutrit-ancilla extension, the definition of the qutrit basis states and the composite noise model could be stated more explicitly to aid readability.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading, positive assessment of the work's significance, and constructive major comments. We address each point below and will revise the manuscript accordingly.

read point-by-point responses

  1. Referee: [Protocol derivation] The derivation of linear-term cancellation (main text, protocol section following the definition of the hybrid interferometer) assumes ideal controlled-Fourier gates that introduce zero additional noise on the ancilla or bosonic mode. No quantitative robustness analysis is provided for finite gate fidelity or ancilla decoherence during gate application; this assumption is load-bearing for the claimed quadratic scaling.

    Authors: We agree that the derivation assumes ideal controlled-Fourier gates, which is a standard idealization in theoretical analyses of noise-suppression protocols to isolate the effect of the hybrid interferometer. The quadratic scaling follows directly from this assumption. In revision we will explicitly flag the ideal-gate assumption in the protocol section and add a concise discussion noting that small gate errors introduce higher-order perturbations but do not restore the leading linear term for sufficiently high fidelity. A full quantitative numerical study of ancilla decoherence during gate execution lies outside the present scope. revision: partial

  2. Referee: [Success probability analysis] The success-probability bound ≥0.5 for μG≤0.5 is asserted without an explicit expression or plot showing the probability as a function of μ and G (or a table of numerical values); verification of this bound is needed to support the practical-utility claim.

    Authors: We acknowledge the omission. The success probability is the probability that the ancilla qubit is measured in the |+⟩ state after the second controlled-Fourier gate and admits an analytic expression in terms of the thermal/displacement noise parameters μ and G. In the revised manuscript we will supply this explicit formula together with a plot (or table) confirming that the probability remains ≥0.5 for all μG≤0.5, thereby substantiating the practical-utility statement. revision: yes

Circularity Check

0 steps flagged

No circularity: derivation is an independent gate-based construction

full rationale

The paper constructs a hybrid CV-DV protocol that places two controlled-Fourier gates around a thermal or Gaussian displacement noise channel acting on an arbitrary single-mode bosonic code. The claimed linear-to-quadratic suppression follows from the explicit unitary action of those ideal gates on the joint system; the abstract and description contain no fitted parameters that are later renamed as predictions, no self-citation load-bearing uniqueness theorems, and no ansatz smuggled from prior work. The result is therefore self-contained against external benchmarks and does not reduce to its inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Based on abstract only; the protocol rests on standard quantum optics assumptions for gates and noise channels with no new free parameters, axioms, or invented entities explicitly introduced beyond the described CF gates and ancilla.

axioms (1)
  • domain assumption Controlled-Fourier gates can be realized ideally without extra noise.
    The suppression relies on these gates sandwiching the noise channel perfectly.

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discussion (0)

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Reference graph

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