Improving the efficiency of learning-based error mitigation

Fuente: arXiv
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Autori principali: Czarnik, Piotr, McKerns, Michael, Sornborger, Andrew T., Cincio, Lukasz
Natura: Preprint
Pubblicazione: 2022
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author Czarnik, Piotr
McKerns, Michael
Sornborger, Andrew T.
Cincio, Lukasz
author_facet Czarnik, Piotr
McKerns, Michael
Sornborger, Andrew T.
Cincio, Lukasz
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2204_07109
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Improving the efficiency of learning-based error mitigation
Czarnik, Piotr
McKerns, Michael
Sornborger, Andrew T.
Cincio, Lukasz
Quantum Physics
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.
title Improving the efficiency of learning-based error mitigation
topic Quantum Physics
url https://arxiv.org/abs/2204.07109