Low-cost error mitigation by symmetry verification

X. Bonet-Monroig, R. Sagastizabal, M. Singh, and T. E. O'Brien
Phys. Rev. A 98, 062339 – Published 28 December 2018

Abstract

We investigate the performance of error mitigation via measurement of conserved symmetries on near-term devices. We present two protocols to measure conserved symmetries during the bulk of an experiment, and develop a third, zero-cost, post-processing protocol which is equivalent to a variant of the quantum subspace expansion. We develop methods for inserting global and local symmetries into quantum algorithms, and for adjusting natural symmetries of the problem to boost the mitigation of errors produced by different noise channels. We demonstrate these techniques on two- and four-qubit simulations of the hydrogen molecule (using a classical density-matrix simulator), finding up to an order of magnitude reduction of the error in obtaining the ground-state dissociation curve.

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  • Received 9 August 2018

DOI:https://doi.org/10.1103/PhysRevA.98.062339

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

X. Bonet-Monroig1, R. Sagastizabal2,3, M. Singh2,3, and T. E. O'Brien1

  • 1Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, NL-2300 RA Leiden, The Netherlands
  • 2QuTech, Delft University of Technology, P.O. Box 5046, NL-2600 GA Delft, The Netherlands
  • 3Kavli Institute of Nanoscience, Delft University of Technology, P.O. Box 5046, NL-2600 GA Delft, The Netherlands

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Issue

Vol. 98, Iss. 6 — December 2018

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