Tractable simulation of error correction with honest approximations to realistic fault models

Daniel Puzzuoli, Christopher Granade, Holger Haas, Ben Criger, Easwar Magesan, and D. G. Cory
Phys. Rev. A 89, 022306 – Published 7 February 2014

Abstract

In previous work, we proposed a method for leveraging efficient classical simulation algorithms to aid in the analysis of large-scale fault-tolerant circuits implemented on hypothetical quantum information processors. Here, we extend those results by numerically studying the efficacy of this proposal as a tool for understanding the performance of an error-correction gadget implemented with fault models derived from physical simulations. Our approach is to approximate the arbitrary error maps that arise from realistic physical models with errors that are amenable to a particular classical simulation algorithm in an “honest” way; that is, such that we do not underestimate the faults introduced by our physical models. In all cases, our approximations provide an “honest representation” of the performance of the circuit composed of the original errors. This numerical evidence supports the use of our method as a way to understand the feasibility of an implementation of quantum information processing given a characterization of the underlying physical processes in experimentally accessible examples.

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  • Received 13 November 2013

DOI:https://doi.org/10.1103/PhysRevA.89.022306

©2014 American Physical Society

Authors & Affiliations

Daniel Puzzuoli1,2, Christopher Granade2,3, Holger Haas2,3, Ben Criger4, Easwar Magesan5, and D. G. Cory2,6,7

  • 1Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 2Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 3Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 4Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany
  • 5IBM TJ Watson Research Center, Yorktown Heights, New York, USA
  • 6Department of Chemistry, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 7Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada N2L 2Y5

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Issue

Vol. 89, Iss. 2 — February 2014

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