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arxiv: 2605.00611 · v1 · submitted 2026-05-01 · ❄️ cond-mat.mes-hall · quant-ph

Suppressing spin qubit decoherence during shuttling via confinement modulation

Daniel Q. L. Nguyen , Maximilian Rimbach-Russ , Stefano Bosco This is my paper

Pith reviewed 2026-05-09 18:54 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall quant-ph
keywords spin qubitsqubit shuttlingdecoherence suppressionconfinement modulationdynamical decouplinghole-spin qubitsgermaniumquantum transport
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The pith

Confinement modulation during shuttling suppresses decoherence in spin qubits by enabling continuous dynamical decoupling.

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

The paper examines strategies to maintain coherence in spin qubits as they are transported across a chip, a key step for building larger quantum processors. It develops temporal and spatial breathing protocols that vary the confinement potential to electrically drive the qubit through spin-orbit coupling, creating dressed states that resist low-frequency noise. Analysis via filter functions identifies specific driving conditions that reduce the impact of both global and local magnetic and electric noise sources. When applied to germanium hole-spin qubits, the approach yields substantially longer coherence times during movement. This matters because scalable quantum systems require reliable qubit transport without rapid loss of quantum information to environmental fluctuations.

Core claim

By introducing temporal and spatial breathing shuttling protocols that leverage spin-orbit interactions in hole-spin systems to electrically drive the qubit while moving, the spin is continuously rotated during transport, suppressing the effect of low-frequency noise. Using the filter function formalism, driving regimes are identified that efficiently mitigate both global and local magnetic and electric noise sources, with distinct limitations depending on the correlation length of the noise. Applying this framework to germanium hole-spin qubits shows that these protocols provide a practical route toward noise-resilient long-range coherent quantum links.

What carries the argument

Breathing shuttling protocols that modulate confinement potential to produce continuous dressed-state rotation via spin-orbit interaction, analyzed through filter functions to suppress noise.

Load-bearing premise

The spin-orbit interaction strength and noise correlation lengths in real devices allow the identified driving regimes to be reached without introducing new dominant error channels.

What would settle it

An experiment on a germanium hole-spin qubit device that applies the breathing protocols and measures no net gain in coherence time relative to standard shuttling, or shows added errors from the required drive amplitudes.

Figures

Figures reproduced from arXiv: 2605.00611 by Daniel Q. L. Nguyen, Maximilian Rimbach-Russ, Stefano Bosco.

Figure 1
Figure 1. Figure 1: Breathing shuttling protocols. (a) Sketch of a conveyor-mode shuttling architecture. (b)-(c) Temporal breathing. Modulating the amplitude of the potential ap￾plied to the top gates (b), or the screening gates (c), enables to modulate the confinement potential of the spin qubit dur￾ing shuttling. (d) Spatial breathing. A periodic change in the design of the screening gates modulates of the confinement in sp… view at source ↗
Figure 2
Figure 2. Figure 2: Noise decoupling of driven two-level system. (a) Ratio I ∗ /I of the infidelity without driving (I ∗ ) (Ω = 0) to that under driving (I) as a function of ωd and Ω. Larger values in yellow indicate improved coherence. The green dashed line denotes the resonance condition including the Bloch-Siegert shift [Eq. (6)], while the cyan dashed lines indicate the first two solutions of Eq. (9). (b)-(d) Transition p… view at source ↗
Figure 3
Figure 3. Figure 3: Driven two-level system with varying Lar￾mor frequency. Filter functions of an exemplary Larmor frequency landscape using (a) constant driving with the mean Larmor frequency and (c) the tracking protocol defined in Eq. (11). The corresponding frequency landscape is shown in the inset of (a). Panels (b) and (d) show the correspond￾ing average infidelity enhancement taking the ratio of infi￾delity without dr… view at source ↗
Figure 4
Figure 4. Figure 4: Temporal breathing shuttle with uniform driving. (a)-(b) Ratio I ∗ /I of the infidelity without time-dependent confinement modulation (I ∗ ) to that under driving ωα(t) = ωα,0(1+γ sin ωdt) (I) at a fixed relative driving amplitude γ = 0.05. We consider a total evolution time 1 µs while sweeping different confinement lengths ℓα,0 = p ℏ/mωα,0 (α = x, y) and assume (a) global magnetic noise and (b) global ele… view at source ↗
Figure 5
Figure 5. Figure 5: Temporal breathing shuttle with lateral driv￾ing. Ratio I ∗ /I of the infidelity without time-dependent confinement modulation (I ∗ ) to that under lateral driv￾ing ωy(t) = ωy,0(1 + γ sin ωdt) (I). Panel (a) [(b)] shows the dependence on the relative driving amplitude γ, while panel (c) [(d)] shows the dependence on the confine￾ment length ℓy,0 = p ℏ/mωy,0, assuming many local mag￾netic [electric] noise so… view at source ↗
Figure 6
Figure 6. Figure 6: Spatial breathing shuttle with lateral con￾finement modulation. Ratio I ∗ /I of the infidelity without spatially-dependent confinement (I ∗ ) to that with spatially dependent y confinement ωy(x) = ωy,0(1 + γ sin x/L) (I) against the shuttling velocity v along the y axis, using the protocol illustrated in view at source ↗
read the original abstract

Reliable long-range qubit shuttling is a powerful tool for scalable quantum computing architectures. We investigate strategies to improve the coherence of moving spin qubits by performing continuous dynamical decoupling by modulating their confinement potential. Specifically, we introduce temporal and spatial breathing shuttling protocols that leverage spin-orbit interactions in hole-spin systems to electrically drive the qubit while moving. This enables efficient dressed-state shuttling, where the spin is continuously rotated during transport, suppressing the effect of low-frequency noise. Using the filter function formalism, we identify driving regimes that efficiently mitigate both global and local magnetic and electric noise sources. We find that confinement-modulated shuttling can significantly enhance coherence during transport, while revealing distinct limitations depending on the correlation length of the noise. Applying our framework to germanium hole-spin qubits, we show that these protocols provide a practical route toward noise-resilient long-range coherent quantum links.

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 proposes temporal and spatial breathing shuttling protocols that modulate the confinement potential of hole-spin qubits to enable continuous dynamical decoupling. Leveraging spin-orbit interactions, these protocols drive dressed-state rotations during transport to suppress low-frequency magnetic and electric noise. The filter-function formalism is used to identify effective driving regimes for both global and local noise sources, with the framework applied to germanium hole-spin qubits to argue for a practical route toward noise-resilient long-range coherent quantum links.

Significance. If the identified modulation regimes prove accessible in real devices without new dominant error channels, the work could meaningfully advance coherence preservation during qubit shuttling, a critical capability for scalable architectures relying on long-range transport. The systematic application of the established filter-function formalism to both temporal and spatial confinement modulation provides a reproducible analytical tool for noise analysis. Credit is given for avoiding ad-hoc parameters and grounding predictions in standard spin-orbit and noise models. The significance remains provisional, however, pending quantitative validation that the required drive strengths and correlation-length thresholds align with measured device parameters.

major comments (1)
  1. [Abstract] Abstract (and the application to Ge hole qubits): The central claim that the protocols 'provide a practical route toward noise-resilient long-range coherent quantum links' is load-bearing for the manuscript's impact but rests on the unverified assumption that the identified driving regimes (modulation frequencies, amplitudes, and noise correlation lengths) are reachable given typical Ge hole SOI strengths (~10-100 meV·nm) and experimental noise spectra. No explicit mapping or threshold calculation is provided to confirm that phonon or charge-noise channels do not dominate when these regimes are accessed; if they do, the suppression benefit is lost.
minor comments (2)
  1. The abstract provides no quantitative coherence times, error bars, or direct comparisons to static shuttling baselines, which would help readers gauge the magnitude of improvement.
  2. Notation for the breathing protocols (temporal vs. spatial) and the precise definition of the filter functions could be clarified with an early schematic or table to improve accessibility for readers outside the immediate subfield.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for providing constructive feedback. We respond to the major comment below and have made revisions to address the raised concerns.

read point-by-point responses

  1. Referee: [Abstract] Abstract (and the application to Ge hole qubits): The central claim that the protocols 'provide a practical route toward noise-resilient long-range coherent quantum links' is load-bearing for the manuscript's impact but rests on the unverified assumption that the identified driving regimes (modulation frequencies, amplitudes, and noise correlation lengths) are reachable given typical Ge hole SOI strengths (~10-100 meV·nm) and experimental noise spectra. No explicit mapping or threshold calculation is provided to confirm that phonon or charge-noise channels do not dominate when these regimes are accessed; if they do, the suppression benefit is lost.

    Authors: We acknowledge the validity of this comment. The manuscript applies the filter-function formalism to standard models of spin-orbit interaction and noise in Ge hole qubits but does not provide an explicit numerical mapping or threshold calculation for the driving regimes against phonon or other channels. To address this, we have revised the manuscript by adding a new subsection that performs order-of-magnitude estimates using reported Ge device parameters. This analysis confirms that the modulation frequencies and amplitudes fall within experimentally demonstrated ranges and that phonon noise does not dominate in the relevant regime, as the shuttling and modulation timescales are chosen to avoid resonant coupling to phonons. We have also updated the abstract to reflect this qualification of the practical route. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation uses standard filter-function analysis on established spin-orbit physics.

full rationale

The paper defines temporal and spatial breathing protocols from the qubit Hamiltonian including spin-orbit interaction, then applies the standard filter-function formalism to compute noise suppression for magnetic and electric noise with given correlation lengths. No parameters are fitted to the target coherence or shuttling fidelity; the driving regimes emerge directly from the equations without self-definition or renaming of known results. The Ge hole-qubit application is an illustrative calculation using literature SOI values, not a self-referential prediction. No load-bearing self-citations or uniqueness theorems from the authors' prior work are invoked to force the central claims.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard quantum mechanics, the filter-function formalism for noise, and the existence of usable spin-orbit coupling in hole systems; no new entities postulated.

axioms (2)
  • domain assumption Spin-orbit interaction enables electrical driving of the spin during confinement modulation
    Invoked to justify dressed-state formation in hole-spin systems
  • domain assumption Low-frequency noise dominates decoherence during shuttling
    Basis for choosing continuous dynamical decoupling strategy

pith-pipeline@v0.9.0 · 5451 in / 1160 out tokens · 26248 ms · 2026-05-09T18:54:12.208800+00:00 · methodology

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Reference graph

Works this paper leans on

74 extracted references · 5 canonical work pages

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    The time- evolution of Eq

    Weak driving amplitude We now include a weak driving with constant am- plitude (Ω(t)≡Ω≪ω q), and consider resonant drivingΦ(t) =ω dtwithω d =ω q. The time- evolution of Eq. (1) is approximated byU c(t)≈ exp(−iωqtσz/2) exp(−iΩtσy/2)in the rotating wave ap- proximation (RWA). The corresponding rotation matrix in the filter function [Eq. (3)] is therefore Rc...

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    Strong driving amplitude In the strong coupling regimeΩ≫ω q the transi- tionprobabilityforthez-eigenstatesiswellapproximated by [47] P|↑⟩→|↑⟩(t)≈cos 2 Ω ωd sinω dt .(7) Using Eq. (4) with the explicit states|ψ⟩,|ϕ⟩=|↑⟩and the Jacobi-Anger expansion, we find that the filter func- tion at zero frequency is suppressed when J0(Ω/2ωd) + ∞X m=1 J2m(Ω/2ωd)sin(2m...

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    At times where the spin is driven at a detuned frequency the Rabi frequency increases leading to the broadening of the peaks in the filter function in Fig

    Driving with the mean Larmor frequency At a given position- or time-dependent Larmor fre- quency one can drive the spin at the mean Larmor fre- quencyΦ(t) = ¯ω qtassuming weak driving amplitudes. At times where the spin is driven at a detuned frequency the Rabi frequency increases leading to the broadening of the peaks in the filter function in Fig. 3(a) ...

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    Global magnetic noise sources For a global fluctuating magnetic field, the noise Hamiltonian is HMF N =β(t)·σ .(17) This Hamiltonian commutes with the orbital transfor- mations applied in the previous section and the free- induction decay filter function in Eq. (3) describes well the qubit’s response to such noise sources

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    Local electric noise sources To investigate the impact of local electric noise sources, we consider the following noise Hamiltonian HEL,L N = 1 2n0 X k Gℓc(x−x k)Gℓc(y−y k)βk(t).(26) The kernel for local electric noise can again be derived with a Schrieffer-Wolff approximation to find an effective non-trivial noise Hamiltonian in spin space. The calcu- la...

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    In these cases, applying aπpulse as the quantum dot traverses a hotspot can modify the accumulated phase. Depend- ing on whether the noise is of magnetic or electric origin, this can either suppress or enhance dephasing, leading to an increase or decrease of the coherence timeT2, re- spectively. Thus, such an experiment may allow one to identify the domin...

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    Global electric noise sources For global electric noise sources, the effective noise Hamiltonian depends on the spin coupling mechanism. Electric noise sources inx-direction do not acquire addi- tional time-dependencies and, thus, the effective Hamil- tonian is analogous to global magnetic noise sources as given in Eq. (17) for which the filter function f...

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