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arxiv: 2604.22751 · v1 · submitted 2026-04-24 · 🪐 quant-ph

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Correlated Quantum Dephasometry: Symmetry-Resolved Noise Spectroscopy of Two-Dimensional Superconductors and Altermagnets

Wenbo Sun , Zubin Jacob
Authors on Pith no claims yet

Pith reviewed 2026-05-08 11:55 UTC · model grok-4.3

classification 🪐 quant-ph
keywords quantum noise spectroscopyspin qubitssuperconducting gap symmetryaltermagnetsdephasingnear-field noise correlations2D materialssymmetry resolution
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The pith

Two spin qubits near a material extract its rotational symmetry from nonlocal noise correlations at nanoscale and low frequencies.

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

The paper proposes correlated quantum dephasometry, which uses the dephasing experienced by two spin qubits placed near a material to measure symmetry-resolved quantum noise at dimensions and frequencies where conventional methods like photoemission spectroscopy are difficult. It exploits the finite spatial range of nonlocal near-field noise correlations to isolate the material's rotational symmetry properties in momentum space, going beyond what a single qubit can achieve. When applied to two-dimensional superconductors, the technique produces distinct signatures that separate s-wave, d-wave, and g-wave forms of the superconducting gap. The same framework also distinguishes symmetries in antiferromagnets and altermagnets, establishing a low-frequency, nanoscale approach to symmetry characterization across many quantum materials.

Core claim

Correlated quantum dephasometry leverages the finite-range spatial structures of nonlocal near-field noise correlations, accessed through the correlated dephasing of two spin qubits, to isolate the rotational symmetry of the material response in momentum space and thereby discriminate s-, d-, and g-wave superconducting gap symmetries in two-dimensional systems, with extension to antiferromagnets and altermagnets.

What carries the argument

Finite-range spatial structures of nonlocal near-field noise correlations measured via correlated dephasing of two spin qubits, which isolate momentum-space rotational symmetry beyond single-qubit reach.

If this is right

  • Distinct fingerprints in the qubit dephasing discriminate s-, d-, and g-wave symmetries of the superconducting gap.
  • The same method resolves symmetries in two-dimensional s-wave antiferromagnets and d-wave altermagnets.
  • It functions as a nanoscale, low-frequency complement to angle-resolved photoemission spectroscopy and polarization-resolved Raman spectroscopy.
  • The framework applies to a broad class of quantum materials for symmetry-resolved characterization.

Where Pith is reading between the lines

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

  • The approach could be used to track symmetry changes in real time while a material is subjected to strain or gating.
  • It opens a route to symmetry probing at interfaces or in heterostructures where traditional spectroscopies have limited access.
  • Extending the qubit separation range might allow mapping of longer-wavelength symmetry features in the same setup.

Load-bearing premise

The noise correlations possess finite-range spatial structures that two positioned spin qubits can access without substantial back-action or signal loss, allowing isolation of the symmetry information.

What would settle it

Placing two spin qubits at controlled separations above a known two-dimensional d-wave superconductor and checking whether the observed pattern of correlated dephasing rates versus separation and orientation matches the symmetry-specific noise spectrum predicted for d-wave gaps.

Figures

Figures reproduced from arXiv: 2604.22751 by Wenbo Sun, Zubin Jacob.

Figure 1
Figure 1. Figure 1: FIG. 1. Two-qubit correlated quantum dephasometry enables symmetry-resolved quantum noise spectroscopy by probing view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Two-qubit correlated quantum dephasometry isolates the superconductor pairing symmetry. (a-c) Schematic of two view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Two-qubit correlated quantum dephasometry re view at source ↗
read the original abstract

Symmetry-resolved spectroscopies, such as angle-resolved photoemission spectroscopy and polarization-resolved Raman, are central for quantum material characterization, yet remain challenging at nanoscale dimensions and low frequencies. Here, we propose correlated quantum dephasometry, which enables symmetry resolved quantum noise spectroscopy of materials at nanoscale and low ($\sim$MHz) frequencies via correlated dephasing of two spin qubits near materials. Our approach leverages the finite-range spatial structures of nonlocal near-field noise correlations to isolate rotational symmetry of the material response in momentum space beyond single qubit capabilities. We apply our approach to two-dimensional (2D) superconductors, and predict clear fingerprints that discriminate s-, d-, and g-wave symmetry of the superconducting gap. To highlight the generality, we further show that the same framework resolves 2D s-wave antiferromagnets and d-wave altermagnets. Our results establish correlated quantum dephasometry as a nanoscale, low-frequency complement for symmetry-resolved spectroscopy applicable to a broad class of quantum materials.

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 proposes 'correlated quantum dephasometry,' a technique that uses correlated dephasing of two spin qubits placed near a material to perform symmetry-resolved quantum noise spectroscopy at nanoscale dimensions and low (~MHz) frequencies. It exploits the finite-range spatial structure of nonlocal near-field noise correlations C(r1,r2,ω) to isolate the rotational symmetry of the material response in momentum space, going beyond single-qubit capabilities. The method is applied to 2D superconductors, where it predicts distinct fingerprints that discriminate s-, d-, and g-wave gap symmetries, and is further shown to resolve 2D s-wave antiferromagnets and d-wave altermagnets.

Significance. If the central assumptions hold, the work introduces a nanoscale, low-frequency complement to symmetry-resolved spectroscopies such as ARPES and polarization-resolved Raman, with potential applicability to a broad class of quantum materials. The framework's generality across superconductors and altermagnets, together with its emphasis on nonlocal correlations for momentum-space symmetry isolation, represents a conceptual advance in quantum sensing of condensed-matter systems.

major comments (2)
  1. [Derivation of the noise correlator and two-qubit dephasing rates] The central claim that two-qubit correlated dephasing isolates gap symmetry from the finite-range structure of the nonlocal noise correlator C(r1,r2,ω) without altering the material response is load-bearing. The derivation appears to proceed via linear response of the current-current susceptibility in the unperturbed limit (see the section deriving the two-qubit dephasing rates and the expression for C(r1,r2,ω)). No quantitative estimate is provided for the qubit-induced perturbation δΔ(r) arising from Zeeman or orbital coupling at the nanoscale separations required for MHz-frequency sensitivity; if |δΔ| is comparable to the symmetry-dependent features, the predicted fingerprints for s-, d-, and g-wave gaps may not survive.
  2. [Application to 2D superconductors] In the application to 2D superconductors (the section presenting the predicted fingerprints), the discrimination between gap symmetries relies on the rotational properties of the nonlocal correlator. However, the manuscript does not demonstrate that the back-action remains negligible once the qubits are positioned to resolve the finite-range spatial structure; a self-consistent calculation including the modified order parameter would be required to confirm the robustness of the s-/d-/g-wave distinctions.
minor comments (2)
  1. [Abstract] The abstract states that the approach 'leverages the finite-range spatial structures' but does not specify the typical length scales or the qubit separation range over which the symmetry isolation is effective; adding a brief quantitative statement would improve clarity.
  2. [Methods] Notation for the noise correlator C(r1,r2,ω) is introduced without an explicit definition of the frequency window or the role of the qubit coherence times; a short clarifying sentence in the methods section would aid readers unfamiliar with quantum sensing protocols.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting the importance of assessing qubit back-action on the material response. We address each major comment below and will incorporate revisions to strengthen the presentation of the linear-response assumptions.

read point-by-point responses

  1. Referee: [Derivation of the noise correlator and two-qubit dephasing rates] The central claim that two-qubit correlated dephasing isolates gap symmetry from the finite-range structure of the nonlocal noise correlator C(r1,r2,ω) without altering the material response is load-bearing. The derivation appears to proceed via linear response of the current-current susceptibility in the unperturbed limit (see the section deriving the two-qubit dephasing rates and the expression for C(r1,r2,ω)). No quantitative estimate is provided for the qubit-induced perturbation δΔ(r) arising from Zeeman or orbital coupling at the nanoscale separations required for MHz-frequency sensitivity; if |δΔ| is comparable to the symmetry-dependent features, the predicted fingerprints for s-, d-, and g-wave gaps may not survive.

    Authors: We agree that a quantitative estimate of δΔ(r) is necessary to substantiate the unperturbed linear-response assumption. The derivation employs standard linear-response theory for the current-current susceptibility, treating the qubits as weak probes whose coupling does not appreciably modify the sample. For the nanoscale separations and MHz frequencies considered, typical qubit parameters (e.g., NV-center magnetic moments) yield |δΔ| much smaller than the gap scale. In the revised manuscript we will add an explicit perturbative estimate of δΔ(r) in the section on two-qubit dephasing rates, confirming that the induced perturbation remains negligible relative to the symmetry-dependent features of the gap and therefore does not alter the predicted fingerprints. revision: yes

  2. Referee: [Application to 2D superconductors] In the application to 2D superconductors (the section presenting the predicted fingerprints), the discrimination between gap symmetries relies on the rotational properties of the nonlocal correlator. However, the manuscript does not demonstrate that the back-action remains negligible once the qubits are positioned to resolve the finite-range spatial structure; a self-consistent calculation including the modified order parameter would be required to confirm the robustness of the s-/d-/g-wave distinctions.

    Authors: We concur that demonstrating robustness under back-action would reinforce the symmetry discrimination. The present analysis is performed in the linear-response limit to isolate the conceptual role of nonlocal correlations. In the revised manuscript we will include a short self-consistent mean-field estimate within the application section to 2D superconductors, showing that the small order-parameter adjustment induced by the qubits preserves the distinct rotational signatures of the s-, d-, and g-wave gaps in C(r1,r2,ω). revision: yes

Circularity Check

0 steps flagged

No circularity in proposed correlated dephasometry framework

full rationale

The paper is a theoretical proposal introducing correlated quantum dephasometry via two spin qubits to resolve rotational symmetries in 2D materials through nonlocal noise correlations. No load-bearing derivation steps reduce by construction to self-definitions, fitted parameters renamed as predictions, or self-citation chains. The fingerprints for s-, d-, and g-wave gaps are presented as predictions from applying the new method to standard superconducting models, without the result being equivalent to its inputs. The work remains self-contained as an independent proposal with no evidence of the enumerated circular patterns.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 1 invented entities

The proposal rests on domain assumptions about noise correlations and qubit-material interactions; no explicit free parameters or invented physical entities are stated in the abstract.

axioms (1)
  • domain assumption Nonlocal near-field noise correlations possess finite-range spatial structures that encode the rotational symmetry of the material response.
    This is invoked to enable isolation of symmetry beyond single-qubit limits.
invented entities (1)
  • Correlated quantum dephasometry no independent evidence
    purpose: A new spectroscopy technique based on correlated qubit dephasing for symmetry resolution.
    Introduced as the central novel framework without external independent evidence provided in the abstract.

pith-pipeline@v0.9.0 · 5474 in / 1253 out tokens · 49890 ms · 2026-05-08T11:55:35.404757+00:00 · methodology

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Reference graph

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