Complete randomized benchmarking protocol accounting for leakage errors

T. Chasseur and F. K. Wilhelm
Phys. Rev. A 92, 042333 – Published 30 October 2015

Abstract

Randomized benchmarking allows one to efficiently and scalably characterize the average error of a unitary 2-design such as the Clifford group C on a physical candidate for quantum computation, as long as there are no noncomputational leakage levels in the system. We investigate the effect of leakage errors on randomized benchmarking induced from an additional level per physical qubit and provide a modified protocol that allows us to derive reliable estimates for the error per gate in their presence. We assess the variance of the sequence fidelity corresponding to the number of random sequences needed for valid fidelity estimation. Our protocol allows for gate-dependent error channels without being restricted to perturbations. We show that our protocol is compatible with interleaved randomized benchmarking and expand to benchmarking of arbitrary gates. This setting is relevant for superconducting transmon qubits, among other systems.

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  • Received 7 May 2015

DOI:https://doi.org/10.1103/PhysRevA.92.042333

©2015 American Physical Society

Authors & Affiliations

T. Chasseur and F. K. Wilhelm

  • Theoretical Physics, Saarland University, 66123 Saarbrücken, Germany

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Vol. 92, Iss. 4 — October 2015

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