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Shadow Distillation: Quantum Error Mitigation with Classical Shadows for Near-Term Quantum Processors

Seif, Alireza and Cian, Ze-Pei and Zhou, Sisi and Chen, Senrui and Jiang, Liang (2023) Shadow Distillation: Quantum Error Mitigation with Classical Shadows for Near-Term Quantum Processors. PRX Quantum, 4 (1). Art. No. 010303. ISSN 2691-3399. doi:10.1103/prxquantum.4.010303.

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Mitigating errors in quantum information processing devices is especially important in the absence of fault tolerance. An effective method in suppressing state-preparation errors is using multiple copies to distill the ideal component from a noisy quantum state. Here, we use classical shadows and randomized measurements to circumvent the need for coherent access to multiple copies at an exponential cost. We study the scaling of resources using numerical simulations and find that the overhead is still favorable compared to full state tomography. We optimize measurement resources under realistic experimental constraints and apply our method to an experiment preparing a Greenberger-Horne-Zeilinger state with trapped ions. In addition to improving stabilizer measurements, the analysis of the improved results reveals the nature of errors affecting the experiment. Hence, our results provide a directly applicable method for mitigating errors in near-term quantum computers.

Item Type:Article
Related URLs:
URLURL TypeDescription
Seif, Alireza0000-0001-5419-5999
Cian, Ze-Pei0000-0002-7390-1542
Zhou, Sisi0000-0003-4618-8590
Chen, Senrui0000-0002-5904-6906
Jiang, Liang0000-0002-0000-9342
Additional Information:Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. We thank Andreas Elben, Hsin-Yuan Huang, and Benoît Vermersch for helpful discussions. We thank Norbert Linke for helpful comments and for sharing data from Ref. [28] for this work. We gratefully acknowledge Y. Zhu, A. M. Green, C. Huerta Alderete, and N. H. Nguyen who took the measurements. We acknowledge support from the ARO (Grants No. W911NF-18-1-0020, No. W911NF-18-1-0212), ARO MURI (Grants No. W911NF-16-1-0349, No. W911NF-21-1-0325), AFOSR MURI (Grants No. FA9550-19-1-0399, No. FA9550-21-1-0209), AFRL (Grant No. FA8649-21-P-0781), DoE Q-NEXT, NSF (Grants No. OMA-1936118, No. EEC-1941583, No. OMA-2137642), NTT Research, and the Packard Foundation (Grant No. 2020-71479). S.Z. acknowledges funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant No. PHY-1733907). A.S. is supported by a Chicago Prize Postdoctoral Fellowship in Theoretical Quantum Science. Z.P. is supported by AFOSR Grant No. FA9550-19-1-0399, ARO Grants No. W911NF2010232 and No. W911NF-15-1-0397, and the NSF Physics Frontier Center at the Joint Quantum Institute.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-18-1-0020
Army Research Office (ARO)W911NF-18-1-0212
Army Research Office (ARO)W911NF-16-1-0349
Army Research Office (ARO)W911NF-21-1-0325
Air Force Office of Scientific Research (AFOSR)FA9550-19-1-0399
Air Force Office of Scientific Research (AFOSR)FA9550-21-1-0209
Air Force Research Laboratory (AFRL)FA8649-21-P-0781
Department of Energy (DOE)UNSPECIFIED
David and Lucile Packard Foundation2020-71479
Chicago Prize Postdoctoral Fellowship in Theoretical Quantum ScienceUNSPECIFIED
Army Research Office (ARO)W911NF2010232
Army Research Office (ARO)W911NF-15-1-0397
Issue or Number:1
Record Number:CaltechAUTHORS:20230206-9587900.15
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:119061
Deposited By: Research Services Depository
Deposited On:09 Mar 2023 17:50
Last Modified:09 Mar 2023 17:50

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