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Fundamental limits of quantum error mitigation

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arxiv 2109.04457 v5 pith:QCWCURFV submitted 2021-09-09 quant-ph

classification quant-ph
keywords error-mitigationquantumerrorboundsclassfundamentalgenerallimits
verification ladder T0 review T1 audit T2 compute T3 formal
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The inevitable accumulation of errors in near-future quantum devices represents a key obstacle in delivering practical quantum advantages, motivating the development of various quantum error-mitigation methods. Here, we derive fundamental bounds concerning how error-mitigation algorithms can reduce the computation error as a function of their sampling overhead. Our bounds place universal performance limits on a general error-mitigation protocol class. We use them to show (1) that the sampling overhead that ensures a certain computational accuracy for mitigating local depolarizing noise in layered circuits scales exponentially with the circuit depth for general error-mitigation protocols and (2) the optimality of probabilistic error cancellation among a wide class of strategies in mitigating the local dephasing noise on an arbitrary number of qubits. Our results provide a means to identify when a given quantum error-mitigation strategy is optimal and when there is potential room for improvement.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 9 citations worldwide. Full citation record

  1. Q3DE: A fault-tolerant quantum computer architecture for multi-bit burst errors by cosmic rays

    quant-ph 2024-12 conditional novelty 7.0 of 10

    Q3DE detects cosmic-ray-induced multi-bit burst errors from syndrome statistics alone and mitigates them through dynamic code-distance expansion and decoder rollback, cutting the exposed error period by about 1000 times.

  2. Effective Noise Mitigation via Quantum Circuit Learning in Quantum Simulation of Integrable Spin Chains

    quant-ph 2026-04 unverdicted novelty 6.0 of 10

    Quantum Circuit Learning trains shallow circuits on conserved charges of integrable spin chains to approximate noisy deep time-evolution more accurately than the original circuit.

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