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

Tractable simulation of error correction with honest approximations to realistic fault models 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

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

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

Physical Review A , Volume 89 (2): 18 – Feb 7, 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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References (61)

Publisher
American Physical Society (APS)
Copyright
©2014 American Physical Society
Subject
ARTICLES; Quantum information
ISSN
1050-2947
eISSN
1094-1622
DOI
10.1103/PhysRevA.89.022306
Publisher site
See Article on Publisher Site

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.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Feb 7, 2014

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