Codeword-stabilized quantum codes on subsystems
DC Field | Value | Language |
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dc.contributor.author | Shin, Jeonghwan | - |
dc.contributor.author | Heo, Jun | - |
dc.date.accessioned | 2021-09-06T14:29:56Z | - |
dc.date.available | 2021-09-06T14:29:56Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2012-10-15 | - |
dc.identifier.issn | 1050-2947 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/107212 | - |
dc.description.abstract | Codeword-stabilized quantum codes provide a unified approach to constructing quantum error-correcting codes, including both additive and nonadditive quantum codes. Standard codeword-stabilized quantum codes encode quantum information into subspaces. The more general notion of encoding quantum information into a subsystem is known as an operator (or subsystem) quantum error-correcting code. Most operator codes studied to date are based in the usual stabilizer formalism. We introduce operator quantum codes based on the codeword-stabilized quantum code framework. Based on the necessary and sufficient conditions for operator quantum error correction, we derive an error-correction condition for operator codeword-stabilized quantum codes. Based on this condition, the word operators of a operator codeword-stabilized quantum code are constructed from a set of classical binary errors induced by generators of the gauge group. We use this scheme to construct examples of both additive and nonadditive codes that encode quantum information into a subsystem. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | AMER PHYSICAL SOC | - |
dc.title | Codeword-stabilized quantum codes on subsystems | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jun | - |
dc.identifier.doi | 10.1103/PhysRevA.86.042318 | - |
dc.identifier.scopusid | 2-s2.0-84867553580 | - |
dc.identifier.wosid | 000309808000010 | - |
dc.identifier.bibliographicCitation | PHYSICAL REVIEW A, v.86, no.4 | - |
dc.relation.isPartOf | PHYSICAL REVIEW A | - |
dc.citation.title | PHYSICAL REVIEW A | - |
dc.citation.volume | 86 | - |
dc.citation.number | 4 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Optics | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Optics | - |
dc.relation.journalWebOfScienceCategory | Physics, Atomic, Molecular & Chemical | - |
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