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Machine Learning for Practical Quantum Error Mitigation

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arxiv 2309.17368 v2 pith:ZSRYSMZQ submitted 2023-09-29 quant-ph cs.LG

classification quant-phcs.LG
keywords quantummitigationerrorlearningmachineml-qemaccuracyclassical
verification ladder T0 review T1 audit T2 compute T3 formal
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Quantum computers progress toward outperforming classical supercomputers, but quantum errors remain their primary obstacle. The key to overcoming errors on near-term devices has emerged through the field of quantum error mitigation, enabling improved accuracy at the cost of additional run time. Here, through experiments on state-of-the-art quantum computers using up to 100 qubits, we demonstrate that without sacrificing accuracy machine learning for quantum error mitigation (ML-QEM) drastically reduces the cost of mitigation. We benchmark ML-QEM using a variety of machine learning models -- linear regression, random forests, multi-layer perceptrons, and graph neural networks -- on diverse classes of quantum circuits, over increasingly complex device-noise profiles, under interpolation and extrapolation, and in both numerics and experiments. These tests employ the popular digital zero-noise extrapolation method as an added reference. Finally, we propose a path toward scalable mitigation by using ML-QEM to mimic traditional mitigation methods with superior runtime efficiency. Our results show that classical machine learning can extend the reach and practicality of quantum error mitigation by reducing its overheads and highlight its broader potential for practical quantum computations.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Machine learning for sample-based quantum diagonalization: generative configuration recovery and the classical-simulability frontier

    quant-ph 2026-08 conditional novelty 6.0 of 10

    A critical review plus small exact-FCI experiments concludes that sample-based quantum diagonalization has not beaten classical selected CI and maps where, if anywhere, a quantum or generative advantage could survive.

  2. Physics-inspired Machine Learning for Quantum Error Mitigation

    quant-ph 2025-01 conditional novelty 6.0 of 10

    A physics-inspired recurrent network, NNAS, estimates layer-wise noise impact and mitigates errors in simulated QAOA and GHZ circuits, using an order of magnitude less training data and less sampling overhead than sta...

  3. Extension of Clifford Data Regression Methods for Quantum Error Mitigation

    quant-ph 2024-11 conditional novelty 6.0 of 10

    Two new feature maps for Clifford Data Regression, geometric and insertion, with the insertion variants reducing RMSE in small noisy-circuit simulations.

  4. The Virtuous Cycle of Quantum-Classical Machine Learning

    quant-ph 2026-07 accept novelty 4.0 of 10

    Classical ML and quantum computing mutually accelerate each other through error correction, control, simulation data, and quantum-native learning, forming a virtuous cycle toward quantum intelligence.

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