Improving the efficiency of learning-based error mitigation

Error mitigation will play an important role in practical applications of near-term noisy quantum computers. Current error mitigation methods typically concentrate on correction quality at the expense of frugality (as measured by the number of additional calls to quantum hardware). To fill the need...

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Main Authors: Piotr Czarnik, Michael McKerns, Andrew T. Sornborger, Lukasz Cincio
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2025-05-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2025-05-05-1727/pdf/
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author Piotr Czarnik
Michael McKerns
Andrew T. Sornborger
Lukasz Cincio
author_facet Piotr Czarnik
Michael McKerns
Andrew T. Sornborger
Lukasz Cincio
author_sort Piotr Czarnik
collection DOAJ
description Error mitigation will play an important role in practical applications of near-term noisy quantum computers. Current error mitigation methods typically concentrate on correction quality at the expense of frugality (as measured by the number of additional calls to quantum hardware). To fill the need for highly accurate, yet inexpensive techniques, we introduce an error mitigation scheme that builds on Clifford data regression (CDR). The scheme improves the frugality by carefully choosing the training data and exploiting the symmetries of the problem. We test our approach by correcting long range correlators of the ground state of XY Hamiltonian on IBM Toronto quantum computer. We find that our method is an order of magnitude cheaper while maintaining the same accuracy as the original CDR approach. The efficiency gain enables us to obtain a factor of $10$ improvement on the unmitigated results with the total budget as small as $2\cdot10^5$ shots. Furthermore, we demonstrate orders of magnitude improvements in frugality for mitigation of energy of the LiH ground state simulated with IBM's Ourense-derived noise model.
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publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
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spelling doaj-art-ee59fd4635ea46c7a7d4eec402fab0232025-08-20T02:11:00ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-05-019172710.22331/q-2025-05-05-172710.22331/q-2025-05-05-1727Improving the efficiency of learning-based error mitigationPiotr CzarnikMichael McKernsAndrew T. SornborgerLukasz CincioError mitigation will play an important role in practical applications of near-term noisy quantum computers. Current error mitigation methods typically concentrate on correction quality at the expense of frugality (as measured by the number of additional calls to quantum hardware). To fill the need for highly accurate, yet inexpensive techniques, we introduce an error mitigation scheme that builds on Clifford data regression (CDR). The scheme improves the frugality by carefully choosing the training data and exploiting the symmetries of the problem. We test our approach by correcting long range correlators of the ground state of XY Hamiltonian on IBM Toronto quantum computer. We find that our method is an order of magnitude cheaper while maintaining the same accuracy as the original CDR approach. The efficiency gain enables us to obtain a factor of $10$ improvement on the unmitigated results with the total budget as small as $2\cdot10^5$ shots. Furthermore, we demonstrate orders of magnitude improvements in frugality for mitigation of energy of the LiH ground state simulated with IBM's Ourense-derived noise model.https://quantum-journal.org/papers/q-2025-05-05-1727/pdf/
spellingShingle Piotr Czarnik
Michael McKerns
Andrew T. Sornborger
Lukasz Cincio
Improving the efficiency of learning-based error mitigation
Quantum
title Improving the efficiency of learning-based error mitigation
title_full Improving the efficiency of learning-based error mitigation
title_fullStr Improving the efficiency of learning-based error mitigation
title_full_unstemmed Improving the efficiency of learning-based error mitigation
title_short Improving the efficiency of learning-based error mitigation
title_sort improving the efficiency of learning based error mitigation
url https://quantum-journal.org/papers/q-2025-05-05-1727/pdf/
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AT michaelmckerns improvingtheefficiencyoflearningbasederrormitigation
AT andrewtsornborger improvingtheefficiencyoflearningbasederrormitigation
AT lukaszcincio improvingtheefficiencyoflearningbasederrormitigation