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Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates

Helsen, Jonas and Nezami, Sepehr and Reagor, Matthew and Walter, Michael (2022) Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates. Quantum, 6 . Art. No. 657. ISSN 2521-327X. doi:10.22331/q-2022-02-21-657.

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We propose a method to reliably and efficiently extract the fidelity of many-qubit quantum circuits composed of continuously parametrized two-qubit gates called matchgates. This method, which we call matchgate benchmarking, relies on advanced techniques from randomized benchmarking as well as insights from the representation theory of matchgate circuits. We argue the formal correctness and scalability of the protocol, and moreover deploy it to estimate the performance of matchgate circuits generated by two-qubit XY spin interactions on a quantum processor.

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Additional Information:© 2022 The Author(s). This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Published: 2022-02-21. We would like to acknowledge Harold Nieuwboer, Sergii Strelchuk, Ingo Roth, and Emilio Onorati for useful conversations. MW acknowledges support by an NWO Veni Innovational Research Grant no. 680-47-459, NWO grant OCENW.KLEIN.267, and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy - EXC 2092 CASA - 390781972. This material is based upon work supported by the Defense Advanced Research Projects Agency (DARPA) under agreement No. HR00112090058. While preparing this manuscript, we became aware of [36], where a similar procedure for the standard matchgate group is proposed.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO)680-47-459
Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO)OCENW.KLEIN.267
Deutsche Forschungsgemeinschaft (DFG)EXC 2092 CASA - 390781972
Defense Advanced Research Projects Agency (DARPA)HR00112090058
Record Number:CaltechAUTHORS:20220420-536258700
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:114396
Deposited By: Tony Diaz
Deposited On:21 Apr 2022 12:34
Last Modified:21 Apr 2022 12:34

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