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Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors

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arxiv 2201.09866 v2 pith:XNX66L4Z submitted 2022-01-24 quant-ph

classification quant-ph
keywords quantumnoisecancellationchannelscorrelatederrorestimateslarge
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Noise in pre-fault-tolerant quantum computers can result in biased estimates of physical observables. Accurate bias-free estimates can be obtained using probabilistic error cancellation (PEC), which is an error-mitigation technique that effectively inverts well-characterized noise channels. Learning correlated noise channels in large quantum circuits, however, has been a major challenge and has severely hampered experimental realizations. Our work presents a practical protocol for learning and inverting a sparse noise model that is able to capture correlated noise and scales to large quantum devices. These advances allow us to demonstrate PEC on a superconducting quantum processor with crosstalk errors, thereby providing an important milestone in opening the way to quantum computing with noise-free observables at larger circuit volumes.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 52 citations worldwide. Full citation record

  1. Algebraic Speedups for Exact Inversion of Hamiltonian Evolutions

    quant-ph 2026-07 conditional novelty 8.0 of 10

    Known generator structure—additive eigenvalue relations and Wedderburn sector multiplicities—determines and often drastically lowers the exact query cost of reversing a Hamiltonian evolution.

  2. Realizing Error Suppression in Partially Fault-Tolerant Quantum Simulations with IBM Quantum Computers

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Partially fault-tolerant [[4,2,2]] Iceberg-code simulations on ibm_boston improve local Ising observables over unencoded baselines by a few percent in 1D and over 200% in 2D at late times via Observable-Ranked Postselection.

  3. Claim against Measurement: Statistical Artefacts in Quantum Error Mitigation Benchmarks

    quant-ph 2026-05 conditional novelty 6.0 of 10

    Systematic review of 81 QEM papers finds only 25% use inferential methods and demonstrates via ZNE case studies that parameter sensitivity and temporal drift can create illusory performance gains.

  4. Exploiting biased noise in variational quantum models

    quant-ph 2025-10 conditional novelty 6.0 of 10

    Twirling amplitude-damping noise into uniform Pauli/depolarising channels reduces expressivity and gradient magnitudes, while preserving the noise bias yields better VQA optimisation in the studied models.

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