Local active error correction from simulated confinement

• URL: http://arxiv.org/abs/2510.08056v3
• Date: Thu, 16 Oct 2025 12:47:28 GMT
• Title: Local active error correction from simulated confinement
• Abstract summary: We refine an old idea for performing fault-tolerant error correction in topological codes by simulating confining interactions between excitations.<n>We implement confinement using an array of local classical processors that measure syndromes, broadcast messages to neighboring processors, and move excitations using received messages.<n>The dynamics of the resulting real-time decoder is geometrically local, homogeneous in spacetime, and self-organized, operating without any form of global control.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We refine an old idea for performing fault-tolerant error correction in topological codes by simulating confining interactions between excitations. We implement confinement using an array of local classical processors that measure syndromes, broadcast messages to neighboring processors, and move excitations using received messages. The dynamics of the resulting real-time decoder is geometrically local, homogeneous in spacetime, and self-organized, operating without any form of global control. We prove that below a threshold error rate, it achieves a memory lifetime scaling as a stretched exponential in the linear system size $L$, provided that it has access to $O({\rm polylog}(L))$ noiseless classical bits for each noisy qubit. When applied to the surface code subject to depolarizing noise and measurement errors of equal strength, numerics indicate a threshold at $p_c \approx 1.5\%$.

Related papers

• Probabilistic Error Cancellation for Single-Mode Gottesman-Kitaev-Preskill Codes [45.91504150103373]
  We study a quantum error mitigation method known as probabilistic error cancellation in the context of the Gottesman-Kitaev-Preskill code.<n>We employ the stabilizer subsystem decomposition for GKP codes to obtain an effective logical channel for noisy operations.
  arXiv  Detail & Related papers  (2026-09-15T12:29:45Z)
• 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)
• Scalable Lindblad Noise Learning via Stochastic Tensor-Network Simulation [48.887627688666974]
  Learning dissipation rates in large-scale open quantum systems is a major obstacle for near-term quantum technologies.<n>Here, we propose a scalable noise-learning framework for Lindblad dissipation rates that combines a simulation method, the Jump Method (TJM)<n>We demonstrate the approach on two noise models in the Ising model, in which independent dissipation rates are learned for each site up to $N_mathrmsite=16$.<n>This combination of scalable numerics and rigorous theoretical guarantees positions TJM-based noise learning as a practical foundation for characterizing dissipation in large quantum devices.
  arXiv  Detail & Related papers  (2026-08-25T15:07:11Z)
• Local MixVR: Breaking the Communication-Sample Dependence in Distributed Learning [47.950033101660644]
  Local MixVR is a distributed framework that integrates local updates with variance-reduction techniques to mitigate local noise.<n>In common regimes where $MOleft(N1/4right)$, Local MixVR outperforms the state-of-the-art Minibatch Accelerated SGD baseline.
  arXiv  Detail & Related papers  (2026-05-31T10:02:15Z)
• CAWN: Continuous Acoustic Wave Networks for Autoregressive Language Modeling [46.16066322190728]
  We introduce the Continuous Acoustic Wave Network (CAWN), a fully continuous sequence-mixing architecture.<n>Instead of discrete matrix-based attention, CAWN projects hidden states into multi-headed complex-domain phasors.<n>To prevent signal degradation over ultra-long contexts, we introduce a dual-gated Selective Phase Resonance mechanism.
  arXiv  Detail & Related papers  (2026-04-05T20:13:22Z)
• Local decoder for the toric code with a high pseudo-threshold [0.0]
  Local decoders provide a promising approach to real-time quantum error-correction.<n>We propose a new local decoder for Kitaev's toric code: the 2D signal-rule.<n>We present numerical evidence of exponential logical error suppression with system size below some critical error rate.
  arXiv  Detail & Related papers  (2026-03-02T19:00:24Z)
• A distillation-teleportation protocol for fault-tolerant QRAM [95.99192129224721]
  We present a protocol for fault-tolerantly implementing the logical quantum random access memory (QRAM) operation.<n>For coherently accessing classical memories of size $2n$, our protocol consumes only $mathrmpoly(n)$ fault-tolerant quantum resources.
  arXiv  Detail & Related papers  (2025-05-26T17:42:56Z)
• High-performance local decoders for defect matching in 1D [2.5899040911480182]
  We propose two new types of local decoders for the quantum repetition code in one dimension.<n>The signal-rule decoders interpret odd parities between neighboring qubits as defects, attracted to each other via the exchange of classical point-like excitations.<n>We prove the existence of a threshold in the code-capacity model and present numerical evidence of exponential logical error suppression.
  arXiv  Detail & Related papers  (2025-05-15T10:43:08Z)
• Fast Controlled Generation from Language Models with Adaptive Weighted Rejection Sampling [90.86991492288487]
  evaluating constraint on every token can be prohibitively expensive.<n> LCD can distort the global distribution over strings, sampling tokens based only on local information.<n>We show that our approach is superior to state-of-the-art baselines.
  arXiv  Detail & Related papers  (2025-04-07T18:30:18Z)
• Demonstrating dynamic surface codes [118.67046728951689]
  We experimentally demonstrate three time-dynamic implementations of the surface code.<n>First, we embed the surface code on a hexagonal lattice, reducing the necessary couplings per qubit from four to three.<n>Second, we walk a surface code, swapping the role of data and measure qubits each round, achieving error correction with built-in removal of accumulated non-computational errors.<n>Third, we realize the surface code using iSWAP gates instead of the traditional CNOT, extending the set of viable gates for error correction without additional overhead.
  arXiv  Detail & Related papers  (2024-12-18T21:56:50Z)
• Quantum error correction below the surface code threshold [107.92016014248976]
  Quantum error correction provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit. We present two surface code memories operating below a critical threshold: a distance-7 code and a distance-5 code integrated with a real-time decoder. Our results present device performance that, if scaled, could realize the operational requirements of large scale fault-tolerant quantum algorithms.
  arXiv  Detail & Related papers  (2024-08-24T23:08:50Z)
• Nearest Neighbor Speculative Decoding for LLM Generation and Attribution [87.3259169631789]
  Nearest Speculative Decoding (NEST) is capable of incorporating real-world text spans of arbitrary length into the LM generations and providing attribution to their sources.<n>NEST significantly enhances the generation quality and attribution rate of the base LM across a variety of knowledge-intensive tasks.<n>In addition, NEST substantially improves the generation speed, achieving a 1.8x speedup in inference time when applied to Llama-2-Chat 70B.
  arXiv  Detail & Related papers  (2024-05-29T17:55:03Z)
• Distributed Extra-gradient with Optimal Complexity and Communication Guarantees [60.571030754252824]
  We consider monotone variational inequality (VI) problems in multi-GPU settings where multiple processors/workers/clients have access to local dual vectors. Extra-gradient, which is a de facto algorithm for monotone VI problems, has not been designed to be communication-efficient. We propose a quantized generalized extra-gradient (Q-GenX), which is an unbiased and adaptive compression method tailored to solve VIs.
  arXiv  Detail & Related papers  (2023-08-17T21:15:04Z)
• Long-range data transmission in a fault-tolerant quantum bus architecture [0.0]
  Scheme generates a maximally entangled state of two qubits using a depth-$6$ circuit consisting of nearest-neighbor Clifford gates and local measurements only. We prove a converse bound $Omega(log R)$ on the number of qubits per repeater among all low-latency schemes for fault-tolerant quantum communication over distance.
  arXiv  Detail & Related papers  (2022-09-20T14:57:27Z)
• Correcting non-independent and non-identically distributed errors with surface codes [0.8039067099377079]
  We develop and investigate the properties of topological surface codes adapted to a known noise structure by Clifford conjugations. We show that the surface code locally tailored to non-uniform single-qubit noise in conjunction with a scalable matching decoder yields an increase in error thresholds and exponential suppression of sub-threshold failure rates.
  arXiv  Detail & Related papers  (2022-08-03T16:21:44Z)
• $\texttt{FedBC}$: Calibrating Global and Local Models via Federated Learning Beyond Consensus [66.62731854746856]
  In federated learning (FL), the objective of collaboratively learning a global model through aggregation of model updates across devices tends to oppose the goal of personalization via local information. In this work, we calibrate this tradeoff in a quantitative manner through a multi-criterion-based optimization. We demonstrate that $texttFedBC$ balances the global and local model test accuracy metrics across a suite datasets.
  arXiv  Detail & Related papers  (2022-06-22T02:42:04Z)
• A cellular automaton decoder for a noise-bias tailored color code [3.222802562733787]
  Self-correcting quantum memories have robust properties that can be exploited to improve active quantum error-correction protocols. We propose a cellular automaton decoder for a variation of the color code where the bases of the physical qubits are locally rotated. Our results motivate the design of tailored cellular automaton decoders that help to reduce the bandwidth demands of global decoding.
  arXiv  Detail & Related papers  (2022-03-30T17:59:59Z)
• Improved decoding of circuit noise and fragile boundaries of tailored surface codes [61.411482146110984]
  We introduce decoders that are both fast and accurate, and can be used with a wide class of quantum error correction codes. Our decoders, named belief-matching and belief-find, exploit all noise information and thereby unlock higher accuracy demonstrations of QEC. We find that the decoders led to a much higher threshold and lower qubit overhead in the tailored surface code with respect to the standard, square surface code.
  arXiv  Detail & Related papers  (2022-03-09T18:48:54Z)
• Performance of teleportation-based error correction circuits for bosonic codes with noisy measurements [58.720142291102135]
  We analyze the error-correction capabilities of rotation-symmetric codes using a teleportation-based error-correction circuit. We find that with the currently achievable measurement efficiencies in microwave optics, bosonic rotation codes undergo a substantial decrease in their break-even potential.
  arXiv  Detail & Related papers  (2021-08-02T16:12:13Z)
• Conditioning Trick for Training Stable GANs [70.15099665710336]
  We propose a conditioning trick, called difference departure from normality, applied on the generator network in response to instability issues during GAN training. We force the generator to get closer to the departure from normality function of real samples computed in the spectral domain of Schur decomposition.
  arXiv  Detail & Related papers  (2020-10-12T16:50:22Z)

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.