Randomized Benchmarking for Individual Quantum Gates

E. Onorati, A. H. Werner, and J. Eisert
Phys. Rev. Lett. 123, 060501 – Published 9 August 2019
PDFHTMLExport Citation

Abstract

Any technology requires precise benchmarking of its components, and the quantum technologies are no exception. Randomized benchmarking allows for the relatively resource economical estimation of the average gate fidelity of quantum gates from the Clifford group, assuming identical noise levels for all gates, making use of suitable sequences of randomly chosen gates. In this work, we report significant progress on randomized benchmarking, by showing that it can be applied individually on a broad class of quantum gates outside the Clifford group, even for varying noise levels per quantum gate. This is possible at little overhead of quantum resources, but at the expense of a significant classical computational cost. At the heart of our analysis is a representation-theoretic framework which we bring into contact with classical estimation techniques based on bootstrapping and matrix pencils. We demonstrate the functioning of the scheme at hand of benchmarking tensor powers of T gates. Apart from its practical relevance, we expect this insight to be relevant as it highlights the role of assumptions made on unknown noise processes when characterizing quantum gates at high precision.

  • Figure
  • Received 26 March 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.060501

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

E. Onorati1, A. H. Werner2, and J. Eisert1,3,4

  • 1Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany
  • 2Department of Mathematical Sciences, University of Copenhagen, DK-2100 København, Denmark
  • 3Department of Mathematics and Computer Science, Freie Universität Berlin, 14195 Berlin, Germany
  • 4Helmholtz-Zentrum Berlin für Materialien und Energie, 14109 Berlin, Germany

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 123, Iss. 6 — 9 August 2019

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×