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arxiv: 2509.08984 · v2 · submitted 2025-09-10 · 🪐 quant-ph · cond-mat.mes-hall

Quantum sensing with a spin ensemble in a two-dimensional material

Souvik Biswas , Giovanni Scuri , Noah Huffman , Eric I. Rosenthal , Ruotian Gong , Thomas Poirier , Xingyu Gao , Sumukh Vaidya
show 7 more authors
Abigail J. Stein Tsachy Weissman James H. Edgar Tongcang Li Chong Zu Jelena Vu\v{c}kovi\'c Joonhee Choi
This is my paper

Pith reviewed 2026-05-18 17:10 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.mes-hall
keywords quantum sensingspin ensemblehexagonal boron nitridedynamical decouplingcoherence timemagnetic sensitivity2D materialshyperfine interactions
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The pith

A central spin ensemble in hexagonal boron nitride reaches 80 microseconds coherence time under dynamical decoupling for sub-microtesla AC magnetic sensing at 10 nanometer distance.

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

The paper develops an experimental framework to characterize and control a spin ensemble embedded in a two-dimensional hBN crystal for quantum sensing. Researchers fully map the hyperfine couplings to nearby nuclear spins, demonstrate the ability to switch between magnetic and electric noise sensing, and reconstruct the environmental noise spectrum while correcting for imperfections in the quantum control pulses. These steps produce a record coherence time of 80 microseconds, which in turn yields magnetic-field sensitivity below one microtesla when the sensor is placed only 10 nanometers from the target. A sympathetic reader would care because atomically thin hosts can in principle be integrated directly onto surfaces or other 2D devices without the surface-degradation problems that limit diamond-based sensors.

Core claim

Using a central spin system in an hBN crystal, the authors map its hyperfine interactions with proximal nuclear spins, demonstrate switchable magnetic and electric noise sensing, and introduce a method to reconstruct the environmental noise spectrum while explicitly accounting for quantum control imperfections. They achieve a coherence time of 80 microseconds under dynamical decoupling, which enables sub-microtesla AC magnetic sensitivity at a 10 nanometer target distance.

What carries the argument

The central spin system in hBN together with dynamical decoupling sequences that extend coherence while the noise-spectrum reconstruction method corrects for control-pulse imperfections.

If this is right

  • The 2D host allows sensor-target separations that are difficult to achieve with bulk diamond platforms without surface-induced decoherence.
  • Switchable magnetic and electric sensing opens routes to selective detection of different signal types in the same device.
  • The noise-reconstruction technique that accounts for control imperfections improves the accuracy of sensitivity estimates in other spin-based sensors.
  • Defect engineering in atomically thin materials can now be guided by the same Hamiltonian-mapping and noise-analysis tools demonstrated here.

Where Pith is reading between the lines

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

  • Because the sensor is confined to a single atomic layer, it could be placed directly on or within van der Waals heterostructures for in-situ sensing of currents or spins in adjacent layers.
  • The demonstrated coherence extension may allow the same platform to serve as a quantum memory or interface in hybrid 2D quantum devices.
  • If the hyperfine mapping generalizes to other defects in hBN or similar 2D hosts, the approach could scale to sensor arrays with engineered spectral responses.

Load-bearing premise

The spin system in hBN behaves as an isolated ensemble whose hyperfine interactions with nuclear spins can be fully mapped and whose noise environment can be reconstructed after correcting for control imperfections.

What would settle it

An experiment that measures coherence times substantially below 80 microseconds under the same dynamical decoupling conditions, or that finds magnetic sensitivity worse than sub-microtesla at 10 nanometer separation after identical noise reconstruction.

Figures

Figures reproduced from arXiv: 2509.08984 by Abigail J. Stein, Chong Zu, Eric I. Rosenthal, Giovanni Scuri, James H. Edgar, Jelena Vu\v{c}kovi\'c, Joonhee Choi, Noah Huffman, Ruotian Gong, Souvik Biswas, Sumukh Vaidya, Thomas Poirier, Tongcang Li, Tsachy Weissman, Xingyu Gao.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: e shows coherence profiles measured under XY8 sequences with varying numbers of π pulses. Each profile starts at T = N tπ, the earliest time point where free evolution occurs between adjacent π pulses, and is rescaled to unity at that point, consistent with the fil￾ter function assumption that decoherence during individ￾ual pulses is neglected (see Extended Data Fig. 7a for unscaled coherence). Using a sim… view at source ↗
read the original abstract

Quantum sensing with solid-state spin defects has transformed nanoscale metrology, offering sub-wavelength spatial resolution with exceptional sensitivity to multiple signal types. Maximizing these advantages requires minimizing both the sensor-target separation and the detectable signal threshold. However, leading platforms such as nitrogen-vacancy (NV) centers in diamond suffer from performance degradation near surfaces or in nanoscale volumes, motivating the search for optically addressable spin sensors in atomically thin, two-dimensional (2D) van der Waals materials. Here, we present a comprehensive experimental framework to probe a 2D spin ensemble, including its Hamiltonian, coherent sensing dynamics, and noise environment. Using a central spin system in a hexagonal boron nitride (hBN) crystal, we fully map the hyperfine interactions with proximal nuclear spins, demonstrate switchable magnetic and electric noise sensing, and introduce a method to accurately reconstruct the environmental noise spectrum while explicitly accounting for quantum control imperfections. We achieve a record coherence time of $80~\mu\mathrm{s}$ under dynamical decoupling, enabling sub-microtesla AC magnetic sensitivity at a $10~\mathrm{nm}$ target distance. Leveraging the broad opportunities for defect engineering in atomically thin hosts, these results lay the foundation for next-generation quantum sensors with ultrahigh sensitivity, tunable noise selectivity, and versatile functionalities.

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 manuscript reports an experimental framework for quantum sensing with a central spin ensemble in hexagonal boron nitride (hBN). It maps hyperfine interactions with proximal nuclear spins, demonstrates switchable magnetic and electric noise sensing, introduces a method to reconstruct the environmental noise spectrum while explicitly correcting for quantum control imperfections, and achieves a coherence time of 80 μs under dynamical decoupling. This is claimed to enable sub-microtesla AC magnetic sensitivity at a 10 nm target distance, positioning hBN defects as a platform for nanoscale metrology in 2D materials.

Significance. If the central claims hold, the work would advance quantum sensing by establishing a viable 2D van der Waals platform that mitigates surface degradation issues common to NV centers in diamond. The measured coherence time, noise reconstruction approach, and projected sensitivity represent concrete experimental progress in defect engineering, with potential for tunable selectivity and integration into atomically thin devices. The experimental nature of the coherence and sensitivity values (rather than derived circularly) strengthens the contribution if the supporting methods are robust.

major comments (1)
  1. [Noise spectrum reconstruction / environmental noise characterization section] The noise spectrum reconstruction method (described in the section on environmental noise characterization and the abstract's paragraph on this topic) is load-bearing for the 80 μs coherence time and sub-μT sensitivity claims. The explicit correction for quantum control imperfections (finite pulse duration, amplitude fluctuations, higher-order Magnus terms) lacks an independent benchmark, such as application to simulated data with known injected errors or cross-check against a different dynamical decoupling sequence. Without this, residual biases could overstate the isolation of the spin ensemble and the accuracy of the reconstructed spectrum, directly affecting the central performance metrics.
minor comments (2)
  1. [Abstract] The abstract states concrete numbers (80 μs, sub-μT at 10 nm) without accompanying error bars or details on data exclusion criteria; these should be added for clarity in the main text or supplementary information.
  2. [Throughout (e.g., Hamiltonian and sensing dynamics sections)] Notation for the hyperfine interaction mapping and the switchable sensing protocols could be standardized across figures and text to improve readability.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their detailed and constructive report. We address the single major comment below and agree that an independent benchmark will strengthen the presentation of the noise reconstruction method.

read point-by-point responses

  1. Referee: The noise spectrum reconstruction method (described in the section on environmental noise characterization and the abstract's paragraph on this topic) is load-bearing for the 80 μs coherence time and sub-μT sensitivity claims. The explicit correction for quantum control imperfections (finite pulse duration, amplitude fluctuations, higher-order Magnus terms) lacks an independent benchmark, such as application to simulated data with known injected errors or cross-check against a different dynamical decoupling sequence. Without this, residual biases could overstate the isolation of the spin ensemble and the accuracy of the reconstructed spectrum, directly affecting the central performance metrics.

    Authors: We thank the referee for this important observation. The reconstruction corrects for control imperfections via an analytic Magnus-expansion treatment that includes finite pulse width, amplitude noise, and higher-order commutators; internal consistency checks against measured T2 values under different pulse spacings were used during development. To supply the requested independent validation, we will add a new subsection (and associated supplementary figures) that (i) applies the full pipeline to simulated ensemble dynamics with known injected noise spectra plus realistic control errors and recovers the input spectrum to within statistical uncertainty, and (ii) performs an experimental cross-check by reconstructing the spectrum from both CPMG and XY8 data sets on the same sample, confirming agreement within the reported error bars. These additions will be included in the revised manuscript. revision: yes

Circularity Check

0 steps flagged

Experimental measurements of coherence time and sensitivity are direct observations with no derivation reducing to fitted inputs or self-citation chains

full rationale

The paper is primarily experimental, reporting measured coherence times (80 μs under dynamical decoupling) and projected sensitivities as observed quantities from the hBN spin ensemble. The abstract and described framework focus on mapping hyperfine interactions, demonstrating noise sensing, and introducing a reconstruction method that explicitly corrects for control imperfections; these steps are methodological contributions rather than closed-loop derivations where a prediction equals its own input by construction. No equations are shown that define a result in terms of itself or rename a fit as a first-principles prediction. Self-citations, if present, are not load-bearing for the central experimental claims, which remain independently verifiable through the reported data acquisition and analysis protocols.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claims rest on the assumption that the observed spin ensemble in hBN behaves as a controllable central spin system whose interactions and noise can be fully characterized experimentally. No free parameters are explicitly fitted in the abstract; the work is measurement-driven rather than model-fitting-driven.

axioms (1)
  • domain assumption The defect spin in hBN can be optically initialized and read out while remaining addressable as an isolated central spin.
    Invoked in the opening description of the experimental framework.

pith-pipeline@v0.9.0 · 5821 in / 1329 out tokens · 32672 ms · 2026-05-18T17:10:45.572254+00:00 · methodology

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. An extended ab initio theory of the V$_{\text{B}}^-$ center in hBN: excited states, Jahn-Teller distortion, and pressure dependence

    cond-mat.mtrl-sci 2026-05 unverdicted novelty 6.0

    CASSCF-NEVPT2 calculations map the excited-state fine structure, pseudo-Jahn-Teller distortion, singlet-triplet crossings, and pressure dependence of the V_B^- center in hBN.

  2. Dynamical decoupling and quantum error correction with SU(d) symmetries

    quant-ph 2026-04 unverdicted novelty 6.0

    Finite subgroups of SU(d) can serve as both dynamical decoupling groups and generators of quantum error-correcting codes in qudit systems.

Reference graph

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