Characterizing quantum gates via randomized benchmarking

Easwar Magesan, Jay M. Gambetta, and Joseph Emerson
Phys. Rev. A 85, 042311 – Published 11 April 2012

Abstract

We describe and expand upon the scalable randomized benchmarking protocol proposed in Phys. Rev. Lett. 106, 180504 (2011) which provides a method for benchmarking quantum gates and estimating the gate dependence of the noise. The protocol allows the noise to have weak time and gate dependence, and we provide a sufficient condition for the applicability of the protocol in terms of the average variation of the noise. We discuss how state-preparation and measurement errors are taken into account and provide a complete proof of the scalability of the protocol. We establish a connection in special cases between the error rate provided by this protocol and the error strength measured using the diamond norm distance.

  • Received 29 September 2011

DOI:https://doi.org/10.1103/PhysRevA.85.042311

©2012 American Physical Society

Authors & Affiliations

Easwar Magesan1,2, Jay M. Gambetta3, and Joseph Emerson1,2

  • 1Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada N2L 3G1
  • 2Institute for Quantum Computing, University of Waterloo, Waterloo, ON, Canada N2L 3G1
  • 3IBM T. J. Watson Research Center, Yorktown Heights, New York 10598, USA

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Issue

Vol. 85, Iss. 4 — April 2012

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