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arXiv:2505.07173 · Physical Review A

Suppressing measurement noise in logical qubits through measurement scheduling

Xiao-Yue Xu, Chen Ding, Wan-Su Bao

Published Dec 9, 2025• 0 citations
arXivHTMLPDF

Abstract

Quantum error correction is essential for reliable quantum computation, where surface codes demonstrate high fault-tolerant thresholds and hardware efficiency. However, noise in single-shot measurements limits logical readout fidelity, forming a critical bottleneck for fault-tolerant quantum computation. We propose a dynamic measurement scheduling protocol that suppresses logical readout errors by adaptively redistributing measurement tasks from error-prone qubits to stable nodes. Using shallow entangled circuits, the protocol balances gate errors and measurement noise. This is achieved by dynamically prioritizing resource allocation based on topological criticality and error metrics. When addressing realistic scenarios where temporal constraints are governed by decoherence limits and error-correction requirements, we implement reinforcement learning (RL) to achieve adaptive measurement scheduling. Numerical simulations show that logical error rates can be reduced by up to 34% across code distances for 3 to 11, with enhanced robustness in measurement-noise-dominated systems. Our protocol offers a versatile, hardware-efficient solution for high-fidelity quantum error correction, advancing large-scale quantum computing.

DOI
10.1103/rs1b-mnyc

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Quantum error correction is essential for reliable quantum computation, where surface codes demonstrate high fault-tolerant thresholds and hardware efficiency. However, noise in single-shot measurements limits logical readout fidelity, forming a critical bottleneck for fault-tolerant quantum computation. We propose a dynamic measurement scheduling protocol that suppresses logical readout errors by adaptively redistributing measurement tasks from error-prone qubits to stable nodes. Using shallow entangled circuits, the protocol balances gate errors and measurement noise. This is achieved by dynamically prioritizing resource allocation based on topological criticality and error metrics. When addressing realistic scenarios where temporal constraints are governed by decoherence limits and error-correction requirements, we implement reinforcement learning (RL) to achieve adaptive measurement scheduling. Numerical simulations show that logical error rates can be reduced by up to 34% across code distances for 3 to 11, with enhanced robustness in measurement-noise-dominated systems. Our protocol offers a versatile, hardware-efficient solution for high-fidelity quantum error correction, advancing large-scale quantum computing.
Quantum error correction (QEC) is a crucial element in the realization of fault-tolerant quantum computation. However, traditional QEC schemes often rely on pre-determined, static parameters, which may not be optimally suited for the specific noise characteristics present in a given quantum hardware. This work introduces a novel approach to QEC that leverages reinforcement learning (RL) to dynamically adapt the error correction protocol in real-time. The system learns to optimize the parameters of the QEC code, such as measurement schedules and decoding strategies, based on continuous feedback from the quantum hardware. This adaptive approach promises to significantly improve the performance and efficiency of QEC, reducing the overhead associated with error correction and enhancing the fidelity of quantum computations. The core claim of this paper is that quantum error correction is computationally intensive and requires precise control over quantum systems. The central mechanism involves employing reinforcement learning to optimize the parameters of quantum error correction protocols in real-time, adapting to the specific noise characteristics of the quantum hardware. This represents a new automation of the QEC process.
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Abstract Quantum error correction (QEC) is essential for mitigating decoherence in quantum computations, but many QEC schemes rely heavily on mid-circuit measurements, which introduce significant noise due to their high error rates in current hardware. To overcome this limitation, we propose a measurement-free QEC scheme based on the surface code, leveraging its topological robustness while eliminating the need for physical measurements during error correction. Our key innovation is a three-dimensional patch-based architecture that interlinks three logical qubit patches, enabling coherent error extraction and feedback without measurements. By transforming syndrome information into geometric correlations across patches, our design inherently suppresses measurement-induced errors while preserving the surface code’s fault-tolerant thresholds. We analyze the scheme’s performance under realistic noise models and demonstrate its advantages over traditional flag-based or Steane-type QEC in regimes where measurements dominate error rate. This work bridges the gap between measurement-free QEC and scalable surface code architectures, offering a path toward fault-tolerant quantum computing in systems where fast, high-fidelity measurements remain impractical.
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The promise of quantum computing is closer to reality today than ever before, thanks to rapid progress in the development of quantum hardware. Even as qubit lifetimes and gate fidelities continue to improve, realizing robust, fault-tolerant quantum computers is contingent upon the successful implementation of quantum error correction (QEC). Conventional QEC schemes have rather high resource overheads and low threshold requirements, making them challenging to implement on present day hardware. Here, we use a recently developed noise-adapted 3-qubit QEC scheme to demonstrate break-even performance against native amplitude-damping (AD) noise on IBM quantum hardware. We use variational quantum circuits to construct hardware-efficient encoding and decoding circuits. This scheme is probabilistic due to the non-unitary nature of the recovery operators, which are implemented via the block-encoding technique. We demonstrate logical qubit lifetimes exceeding those of the physical qubits by performing multiple rounds of QEC. To further protect the qubits from dephasing due to crosstalk, we incorporate dynamical decoupling into our noise-adapted QEC scheme in a seamless fashion. To account for the post-selection overhead, we define a measure of gain, that allows for faithful performance benchmarking of the protocol. Our analysis suggests that the performance of our protocol is limited primarily by the measurement readout fidelity, and is bound to improve with successive generations of quantum processors.
Quantum error correction (QEC) is needed for building reliable and scalable quantum computers because of the susceptibility of quantum states to decoherence and operational noise. Reinforcement learning (RL) has recently emerged as an adaptive approach for quantum control and error mitiga- tion;however, existing RL-based QEC methods are largely re- stricted to small qubit systems and are often dependent on specific hardware architectures. We present a RL–enabled QEC ap- proach for a five qubit quantum system. The proposed approach relies exclusively on syndrome measurements and reward feed- back, ensuring architecture independence and portability across quantum platforms. The framework is evaluated using Qiskit and Cirq simulators under realistic noise models. Experimental results demonstrate improved logical qubit lifetimes and reduced error rates compared to static and smaller qubit correction strategies.