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Error Correcting Codes in Quantum Theory

Journal Article · · Physical Review Letters
 [1]
  1. Clarendon Laboratory, Parks Road, Oxford, OX1 3PU (England)

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, {open_quote}{open_quote}macroscopically different,{close_quote}{close_quote} can form a superposition in which the interference phase between the two parts is measurable. This provides a highly stabilized {open_quote}{open_quote}Schr{umlt o}dinger cat{close_quote}{close_quote} state. {copyright} {ital 1996 The American Physical Society.}

OSTI ID:
286763
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 5 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
Country of Publication:
United States
Language:
English

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