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, h...
Váldodahkki: | |
---|---|
Materiálatiipa: | Journal article |
Giella: | English |
Almmustuhtton: |
1996
|
_version_ | 1826302268097429504 |
---|---|
author | Steane, A |
author_facet | Steane, A |
author_sort | Steane, A |
collection | OXFORD |
description | 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. |
first_indexed | 2024-03-07T05:44:59Z |
format | Journal article |
id | oxford-uuid:e6ec2e48-36b5-4d3f-ac7d-f973e42b3d97 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T05:44:59Z |
publishDate | 1996 |
record_format | dspace |
spelling | oxford-uuid:e6ec2e48-36b5-4d3f-ac7d-f973e42b3d972022-03-27T10:34:33ZError Correcting Codes in Quantum Theory.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e6ec2e48-36b5-4d3f-ac7d-f973e42b3d97EnglishSymplectic Elements at Oxford1996Steane, AA 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. |
spellingShingle | Steane, A Error Correcting Codes in Quantum Theory. |
title | Error Correcting Codes in Quantum Theory. |
title_full | Error Correcting Codes in Quantum Theory. |
title_fullStr | Error Correcting Codes in Quantum Theory. |
title_full_unstemmed | Error Correcting Codes in Quantum Theory. |
title_short | Error Correcting Codes in Quantum Theory. |
title_sort | error correcting codes in quantum theory |
work_keys_str_mv | AT steanea errorcorrectingcodesinquantumtheory |