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Error Correcting Codes in Quantum Theory

A. M. Steane
Phys. Rev. Lett. 77, 793 – Published 29 July 1996
Physics logo See Focus story: Landmarks—Correcting Quantum Computer Errors
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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.

  • Received 4 October 1995

DOI:https://doi.org/10.1103/PhysRevLett.77.793

©1996 American Physical Society

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Landmarks—Correcting Quantum Computer Errors

Published 10 June 2016

In the mid-1990s, researchers proposed methods to preserve the integrity of quantum bits—techniques that may become the key to practical quantum computing on a large scale.

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Authors & Affiliations

A. M. Steane

  • Clarendon Laboratory, Parks Road, Oxford, OX1 3PU, England

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Issue

Vol. 77, Iss. 5 — 29 July 1996

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