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Characterizing universal gate sets via dihedral benchmarking

Arnaud Carignan-Dugas, Joel J. Wallman, and Joseph Emerson
Phys. Rev. A 92, 060302(R) – Published 28 December 2015

Abstract

We describe a practical experimental protocol for robustly characterizing the error rates of non-Clifford gates associated with dihedral groups, including small single-qubit rotations. Our dihedral benchmarking protocol is a generalization of randomized benchmarking that relaxes the usual unitary 2-design condition. Combining this protocol with existing randomized benchmarking schemes enables practical universal gate sets for quantum information processing to be characterized in a way that is robust against state-preparation and measurement errors. In particular, our protocol enables direct benchmarking of the π/8 gate even under the gate-dependent error model that is expected in leading approaches to fault-tolerant quantum computation.

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  • Received 27 August 2015

DOI:https://doi.org/10.1103/PhysRevA.92.060302

©2015 American Physical Society

Authors & Affiliations

Arnaud Carignan-Dugas1, Joel J. Wallman1, and Joseph Emerson1,2

  • 1Institute for Quantum Computing and the Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 2Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8

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Issue

Vol. 92, Iss. 6 — December 2015

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