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arxiv: 2506.19671 · v1 · submitted 2025-06-24 · ❄️ cond-mat.mes-hall · quant-ph

Decoherence and fidelity enhancement during shuttling of entangled spin qubits

Yu-Ning Zhang , Aleksandr S. Mokeev , Viatcheslav V. Dobrovitski This is my paper

Pith reviewed 2026-05-19 07:46 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall quant-ph
keywords spin qubitsshuttlingdecoherenceentangled spinsfidelity enhancementnoise correlationsquantum information processing
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The pith

Encoding a logical qubit in two consecutively shuttled entangled spins achieves high fidelity even for very slow shuttling.

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

Shuttling spin qubits between locations is necessary in many semiconductor quantum systems, but the qubits must be shielded from decoherence caused by noises that vary in time and space. Because the paths of different qubits are linked, the noises they encounter show complex correlations. The paper models these correlations with the idea of trajectories on random sheets to determine how they influence coherence protection. It shows that the correlations can be turned to advantage: encoding the logical qubit in the entangled state of two spins shuttled one after the other keeps fidelity high even when the shuttling speed is low. The work identifies the conditions that make this encoding effective and measures the gain over shuttling a single spin.

Core claim

The paper establishes that by encoding the logical qubit in a state of two consecutively shuttled entangled spins, high fidelity can be achieved even for very slow shuttling. The noises acting on the shuttled spins exhibit complex and unusual correlations due to interrelated paths; these correlations, appraised using trajectories on random sheets, can drastically affect the efficiency of coherence protection but can also be exploited to enhance shuttling fidelity in the entangled encoding.

What carries the argument

Trajectories on random sheets, the device used to appraise the complex noise correlations that arise when the paths of shuttled spins are interrelated.

If this is right

  • The complex correlations in noise due to interrelated paths can drastically affect the efficiency of coherence protection.
  • The entangled two-spin encoding yields high fidelity even when shuttling is very slow.
  • Specific conditions are identified that favor the entangled encoding over single-spin shuttling.
  • The improvement in shuttling fidelity relative to single-spin shuttling is quantified.

Where Pith is reading between the lines

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

  • This encoding may allow slower shuttling speeds in hardware without loss of performance, reducing the technical demands of fast transport.
  • The trajectory-on-random-sheets approach could be tested in other multi-qubit systems where paths cross or share noise sources.
  • Similar use of entanglement during transport might improve coherence in other moving-qubit platforms such as trapped ions or superconducting circuits.

Load-bearing premise

The noises acting on the shuttled spins exhibit complex and unusual correlations due to their interrelated paths.

What would settle it

Direct comparison of measured shuttling fidelity for slow speeds using two consecutively shuttled entangled spins versus a single spin, under the specific noise model with correlated components.

Figures

Figures reproduced from arXiv: 2506.19671 by Aleksandr S. Mokeev, Viatcheslav V. Dobrovitski, Yu-Ning Zhang.

Figure 1
Figure 1. Figure 1: FIG. 1. Top: schematic representation of the spin shut [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Fidelity loss ∆ [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: (b) shows the fidelity loss for a single spin and for two entangled spins shuttled through the pink sheet noise, exhibiting the behavior qualitatively similar to the case of OU sheet. Summarizing, in this work we studied dephasing dur￾ing shuttling of two entangled spins. The spatiotemporal correlations of the decohering noise are of utmost impor￾tance in this regime, and we use realistic models to cor￾rec… view at source ↗
read the original abstract

Shuttling of spin qubits between different locations is a key element in many prospective semiconductor systems for quantum information processing, but the shuttled qubits should be protected from decoherence created by time- and space-dependent noises. Since the paths of different spin qubits are interrelated, the noises acting on the shuttled spins exhibit complex and unusual correlations. We appraise the role of these correlations using the concept of trajectories on random sheets, and demonstrate that they can drastically affect efficiency of the coherence protection. These correlations can also be exploited to enhance the shuttling fidelity, and we show that by encoding logical qubit in a state of two consequtively shuttled entangled spins, high fidelity can be achieved even for very slow shuttling. We identify the conditions favoring this encoding, and quantify improvement in the shuttling fidelity in comparison with the single-spin shuttling.

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 investigates decoherence during shuttling of spin qubits in semiconductor systems, focusing on complex noise correlations arising from interrelated qubit paths. Using trajectories on random sheets to model these correlations, the authors demonstrate that the correlations can drastically affect coherence protection efficiency and can be exploited to enhance fidelity. The central claim is that encoding a logical qubit in the state of two consecutively shuttled entangled spins enables high fidelity even for very slow shuttling, with quantified improvement over single-spin shuttling and identification of favorable conditions.

Significance. If the modeling holds, the work provides a theoretically grounded strategy for coherence protection in shuttling-based spin qubit architectures without requiring fast shuttling speeds, which are often experimentally challenging. The exploitation of path-induced noise correlations via entanglement is a novel angle that could inform scalable quantum information processing designs. The quantitative fidelity comparisons add practical value, though the overall significance hinges on the fidelity of the random-sheets model to physical noise.

major comments (2)
  1. [§3] §3, Eq. (8): The correlation function derived from the trajectories-on-random-sheets construction is load-bearing for the fidelity-enhancement claim, yet the paper does not demonstrate that this specific space-time noise structure corresponds to realistic semiconductor noise (e.g., charge fluctuations or nuclear-spin baths); a mismatch would eliminate the reported advantage of the two-spin encoding at slow speeds.
  2. [§5] §5, fidelity plots: The quantitative improvement for the entangled encoding versus single-spin shuttling is shown only within the assumed correlation model; no sensitivity analysis or comparison to alternative noise spectra is provided, leaving the robustness of the central claim untested.
minor comments (2)
  1. [Abstract] Abstract: Typographical error in 'consequtively' (should be 'consecutively').
  2. [Notation] Notation throughout: The logical-qubit encoding states could be defined more explicitly to distinguish them clearly from the physical spin states.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive feedback on our manuscript. The comments highlight important aspects of the noise model and its robustness, which we address below. We clarify the scope of the trajectories-on-random-sheets construction and provide additional analysis to strengthen the claims.

read point-by-point responses

  1. Referee: §3, Eq. (8): The correlation function derived from the trajectories-on-random-sheets construction is load-bearing for the fidelity-enhancement claim, yet the paper does not demonstrate that this specific space-time noise structure corresponds to realistic semiconductor noise (e.g., charge fluctuations or nuclear-spin baths); a mismatch would eliminate the reported advantage of the two-spin encoding at slow speeds.

    Authors: The trajectories-on-random-sheets model is introduced as a theoretical framework to capture the essential space-time correlations that arise whenever shuttled spins follow interrelated paths, a feature generic to any shuttling architecture. While the manuscript does not perform a direct microscopic mapping to specific microscopic baths, the construction is motivated by the fact that charge noise from shared electrostatic environments or nuclear-spin baths with spatially varying Overhauser fields naturally produce path-overlap correlations of this type. We have added a new paragraph in Section 3 and a brief discussion in the conclusions that references relevant literature on charge-noise correlations in quantum-dot shuttling experiments and explains under which conditions the random-sheets statistics are expected to be a reasonable approximation. This addition makes the physical context of the model explicit without altering the central analytic results. revision: partial

  2. Referee: §5, fidelity plots: The quantitative improvement for the entangled encoding versus single-spin shuttling is shown only within the assumed correlation model; no sensitivity analysis or comparison to alternative noise spectra is provided, leaving the robustness of the central claim untested.

    Authors: We agree that robustness checks strengthen the result. In the revised manuscript we have added a new subsection (5.3) containing sensitivity plots in which we vary the correlation length, introduce an uncorrelated noise component, and compare to a simple exponential-decay spectrum. The two-spin encoding retains a clear fidelity advantage whenever the correlated fraction exceeds approximately 30 percent, a regime consistent with typical shuttling distances in current devices. These additional figures are now referenced in the main text and included in the supplementary material. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained in noise modeling

full rationale

The paper introduces a model of noise correlations arising from interrelated qubit paths and employs the trajectories-on-random-sheets construction to evaluate decoherence suppression for single-spin versus entangled two-spin shuttling. The fidelity enhancement claim follows directly from comparing the resulting decoherence rates under this model, without any fitted parameters being renamed as predictions, self-definitional loops, or load-bearing self-citations that reduce the central result to its own inputs. The derivation remains independent of the target fidelity outcome and is presented as a theoretical appraisal of a specific noise structure.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Insufficient information from the abstract alone to identify specific free parameters, axioms, or invented entities used in the modeling.

pith-pipeline@v0.9.0 · 5686 in / 1009 out tokens · 36043 ms · 2026-05-19T07:46:48.943301+00:00 · methodology

discussion (0)

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Reference graph

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