BURES DISTANCE FOR alpha-COMPLETELY POSITIVE MAPS AND TRANSITION PROBABILITY BETWEEN P-FUNCTIONALS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Heo, Jaeseong | - |
dc.date.accessioned | 2022-07-07T07:39:27Z | - |
dc.date.available | 2022-07-07T07:39:27Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2015-02 | - |
dc.identifier.issn | 1027-5487 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143850 | - |
dc.description.abstract | In this paper we discuss the Bures distance between alpha-CP maps on a C*-algebra and the transition probability between P-functionals on a *-algebra. We first review the notion of alpha-CP maps and the representation theorem associated to alpha-CP maps. Using the Krein space representation and the set of intertwiners between Krein space representations, we study the Bures distance between alpha-CP maps. We prove that the transition probability between P-functionals can be estimated by some functionals using J-representations on Krein spaces. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | MATHEMATICAL SOC REP CHINA | - |
dc.title | BURES DISTANCE FOR alpha-COMPLETELY POSITIVE MAPS AND TRANSITION PROBABILITY BETWEEN P-FUNCTIONALS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jaeseong | - |
dc.identifier.doi | 10.11650/tjm.19.2015.4068 | - |
dc.identifier.scopusid | 2-s2.0-84921833996 | - |
dc.identifier.wosid | 000348590700010 | - |
dc.identifier.bibliographicCitation | TAIWANESE JOURNAL OF MATHEMATICS, v.19, no.1, pp.159 - 174 | - |
dc.relation.isPartOf | TAIWANESE JOURNAL OF MATHEMATICS | - |
dc.citation.title | TAIWANESE JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 19 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 159 | - |
dc.citation.endPage | 174 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | KREIN | - |
dc.subject.keywordPlus | REPRESENTATIONS | - |
dc.subject.keywordPlus | MODULES | - |
dc.subject.keywordPlus | PRODUCT | - |
dc.subject.keywordPlus | ALGEBRA | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordAuthor | alpha-Completely positive map | - |
dc.subject.keywordAuthor | Krein space | - |
dc.subject.keywordAuthor | J-representation | - |
dc.subject.keywordAuthor | Bures distance | - |
dc.subject.keywordAuthor | Transition probability | - |
dc.subject.keywordAuthor | P-functional | - |
dc.identifier.url | https://projecteuclid.org/journals/taiwanese-journal-of-mathematics/volume-19/issue-1/BURES-DISTANCE-FOR-alpha-COMPLETELY-POSITIVE-MAPS-AND-TRANSITION-PROBABILITY/10.11650/tjm.19.2015.4068.full | - |
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