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Error Correcting Codes in Quantum Theory

Error Correcting Codes in Quantum Theory A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information theory. A subset of the known codes is described, having properties which are important for error correction in quantum communication. It is shown that a pair of states which are, in a certain sense, “macroscopically different,” can form a superposition in which the interference phase between the two parts is measurable. This provides a highly stabilized “Schrödinger cat” state. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review Letters American Physical Society (APS)

Error Correcting Codes in Quantum Theory

Physical Review Letters , Volume 77 (5) – Jul 29, 1996
5 pages

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References (5)

Publisher
American Physical Society (APS)
Copyright
Copyright © 1996 The American Physical Society
ISSN
1079-7114
DOI
10.1103/PhysRevLett.77.793
Publisher site
See Article on Publisher Site

Abstract

A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information theory. A subset of the known codes is described, having properties which are important for error correction in quantum communication. It is shown that a pair of states which are, in a certain sense, “macroscopically different,” can form a superposition in which the interference phase between the two parts is measurable. This provides a highly stabilized “Schrödinger cat” state.

Journal

Physical Review LettersAmerican Physical Society (APS)

Published: Jul 29, 1996

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