Taking Advantage of Noise in Distributed Random Quantum Circuits

• URL: http://arxiv.org/abs/2609.11898v1
• Date: Thu, 10 Sep 2026 17:53:51 GMT
• Title: Taking Advantage of Noise in Distributed Random Quantum Circuits
• Abstract summary: Adding noise can make a random quantum circuit look faster without making its unitary dynamics more random.<n>This distinction is especially relevant in modular processors, where local gates randomize each core and scarce inter-core communication must spread that randomness across the full device.<n>We study this problem with a reduced second-moment transfer-matrix theory for Pauli second moments in distributed random circuits affected by the amplitude-damping, depolarizing, and dephasing noise channels.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Adding noise can make a random quantum circuit look faster without making its unitary dynamics more random. This distinction is especially relevant in modular processors, where local gates randomize each core and scarce inter-core communication must spread that randomness across the full device. In this paper, we study this problem with a reduced second-moment transfer-matrix theory for Pauli second moments in distributed random circuits affected by the amplitude-damping, depolarizing, and dephasing noise channels. The key step is to resolve the noisy spectrum into two branches: a radial branch, describing dissipative loss of non-identity Pauli weight, and an angular branch, describing Haar-like mixing within the surviving nontrivial sector. This separation gives a simple weak-noise criterion: noise is useful for angular randomization only when it suppresses the longitudinal Bloch component more strongly than the transverse plane. Among the three channels considered, this selects amplitude damping as the only locally favorable case, while depolarizing noise is neutral and dephasing is dominated by radial loss. For multicore architectures, we derive a universal first-order law for radial leakage and track the angular branch numerically across different channels, topologies, and core partitions. The results reveal narrow windows of genuine noise-assisted Haar mixing, most clearly for amplitude damping, but rule out a generic speed-up by noise. The framework therefore distinguishes useful noisy randomization from mere dissipation.

Related papers

• Fractional-Order Adaptive Motion Magnification: Phase-Reliability Weighting for Noise-Constrained Video Amplification [51.56484100374058]
  We propose Fractional-order Adaptive Motion Magnification, a pipeline developed first offline and then as a causal stream.<n>It replaces the constant temporal gain with a Grnwald--Letnikov derivative of fractional order, giving continuous control over high-frequency emphasis.<n>Real videos show improved spatial selectivity and lower background noise in every case.
  arXiv  Detail & Related papers  (2026-09-03T21:43:22Z)
• The Gain-Engineered Transmon [68.89136228609398]
  We introduce and experimentally realize a noise-biased qubit in a standard transmon-readout resonator circuit.<n>Our results open a path towards using this system as a simple building-block for hardware-efficient quantum error detection and correction schemes.
  arXiv  Detail & Related papers  (2026-08-26T17:00:42Z)
• Open Quantum Theory of Shot Noise in Dissipative Chiral Transport [11.518466877864666]
  We show that current noise is governed by two competing factors: the average occupancy distribution and particle-number fluctuations.<n>We propose an inversion scheme to experimentally reconstruct the hidden occupancy distribution directly from measurable noise cumulants.
  arXiv  Detail & Related papers  (2026-05-14T02:05:52Z)
• Universality in the Anticoncentration of Noisy Quantum Circuits at Finite Depths [0.0]
  We present universal properties of the anticoncentration of noisy quantum circuits at finite depth.<n>In the weak-noise regime different types of noise act in a similar fashion, leading to a universal distribution of bit-string probabilities.<n>We show that, contrary to previous belief, the late-time XEB does give access to the global circuit fidelity, even for large noise strengths.
  arXiv  Detail & Related papers  (2025-08-20T18:00:07Z)
• Simulating quantum circuits with arbitrary local noise using Pauli Propagation [0.0]
  We present a classical algorithm for estimating expectation values of arbitrary observables on typical quantum circuits under any incoherent local noise.<n>We show that this does not apply to average-case circuits, as these can be efficiently simulated using Pauli-path methods.
  arXiv  Detail & Related papers  (2025-01-22T18:57:16Z)
• Universal Spreading of Conditional Mutual Information in Noisy Random Circuits [1.6437645274005803]
  We study the evolution of conditional mutual information in generic open quantum systems. We find that noisy random circuits with an error rate $p$ exhibit superlinear propagation of conditional mutual information.
  arXiv  Detail & Related papers  (2024-02-28T18:31:14Z)
• Effect of non-unital noise on random circuit sampling [0.0]
  We show that even in the presence of unital sources like the depolarizing channel, the distribution under the combined noise channel, never resembles a maximally entropic distribution. This is stark contrast to the behavior of noiseless quantum circuits or those with only unit depths.
  arXiv  Detail & Related papers  (2023-06-29T03:39:59Z)
• Autonomous coherence protection of a two-level system in a fluctuating environment [68.8204255655161]
  We re-examine a scheme originally intended to remove the effects of static Doppler broadening from an ensemble of non-interacting two-level systems (qubits) We demonstrate that this scheme is far more powerful and can also protect a single (or even an ensemble) qubit's energy levels from noise which depends on both time and space.
  arXiv  Detail & Related papers  (2023-02-08T01:44:30Z)
• Topological Josephson parametric amplifier array: A proposal for directional, broadband, and low-noise amplification [39.58317527488534]
  Low-noise microwave amplifiers are crucial for detecting weak signals in fields such as quantum technology and radio astronomy. We show that compact devices with few sites can achieve exceptional performance, with gains exceeding 20 dB over a bandwidth ranging from hundreds of MHz to GHz. The device also operates near the quantum noise limit and provides topological protection against up to 15% fabrication disorder.
  arXiv  Detail & Related papers  (2022-07-27T18:07:20Z)
• High-Order Qubit Dephasing at Sweet Spots by Non-Gaussian Fluctuators: Symmetry Breaking and Floquet Protection [55.41644538483948]
  We study the qubit dephasing caused by the non-Gaussian fluctuators. We predict a symmetry-breaking effect that is unique to the non-Gaussian noise.
  arXiv  Detail & Related papers  (2022-06-06T18:02:38Z)
• Learning Noise via Dynamical Decoupling of Entangled Qubits [49.38020717064383]
  Noise in entangled quantum systems is difficult to characterize due to many-body effects involving multiple degrees of freedom. We develop and apply multi-qubit dynamical decoupling sequences that characterize noise that occurs during two-qubit gates.
  arXiv  Detail & Related papers  (2022-01-26T20:22:38Z)
• Random quantum circuits transform local noise into global white noise [118.18170052022323]
  We study the distribution over measurement outcomes of noisy random quantum circuits in the low-fidelity regime. For local noise that is sufficiently weak and unital, correlations (measured by the linear cross-entropy benchmark) between the output distribution $p_textnoisy$ of a generic noisy circuit instance shrink exponentially. If the noise is incoherent, the output distribution approaches the uniform distribution $p_textunif$ at precisely the same rate.
  arXiv  Detail & Related papers  (2021-11-29T19:26:28Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.