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Title: Fault-Tolerant Error Correction with Efficient Quantum Codes

Abstract

We exhibit a simple, systematic procedure for detecting and correcting errors using any of the recently reported quantum error-correcting codes. The procedure is shown explicitly for a code in which one qubit is mapped into five. The quantum networks obtained are fault tolerant, that is, they can function successfully even if errors occur during the error correction. Our construction is derived using a recently introduced group-theoretic framework for unifying all known quantum codes. {copyright} {ital 1996 The American Physical Society.}

Authors:
;  [1]
  1. IBM T. J. Watson Research Center, Yorktown Heights, New York 10598 (United States)
Publication Date:
OSTI Identifier:
388372
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 77; Journal Issue: 15; Other Information: PBD: Oct 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; QUANTUM MECHANICS; COMPUTER CODES; ERRORS; CORRECTIONS; NETWORK ANALYSIS; MEMORY DEVICES

Citation Formats

DiVincenzo, D P, Shor, P W, and AT&T Research, Murray Hill, New Jersey 07974. Fault-Tolerant Error Correction with Efficient Quantum Codes. United States: N. p., 1996. Web. doi:10.1103/PhysRevLett.77.3260.
DiVincenzo, D P, Shor, P W, & AT&T Research, Murray Hill, New Jersey 07974. Fault-Tolerant Error Correction with Efficient Quantum Codes. United States. https://doi.org/10.1103/PhysRevLett.77.3260
DiVincenzo, D P, Shor, P W, and AT&T Research, Murray Hill, New Jersey 07974. 1996. "Fault-Tolerant Error Correction with Efficient Quantum Codes". United States. https://doi.org/10.1103/PhysRevLett.77.3260.
@article{osti_388372,
title = {Fault-Tolerant Error Correction with Efficient Quantum Codes},
author = {DiVincenzo, D P and Shor, P W and AT&T Research, Murray Hill, New Jersey 07974},
abstractNote = {We exhibit a simple, systematic procedure for detecting and correcting errors using any of the recently reported quantum error-correcting codes. The procedure is shown explicitly for a code in which one qubit is mapped into five. The quantum networks obtained are fault tolerant, that is, they can function successfully even if errors occur during the error correction. Our construction is derived using a recently introduced group-theoretic framework for unifying all known quantum codes. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevLett.77.3260},
url = {https://www.osti.gov/biblio/388372}, journal = {Physical Review Letters},
number = 15,
volume = 77,
place = {United States},
year = {Tue Oct 01 00:00:00 EDT 1996},
month = {Tue Oct 01 00:00:00 EDT 1996}
}