Quantum stochastic processes for maps on Hilbert C*-modules
DC Field | Value | Language |
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dc.contributor.author | Heo, Jaeseong | - |
dc.contributor.author | Ji, Un Cig | - |
dc.date.accessioned | 2022-07-16T20:48:56Z | - |
dc.date.available | 2022-07-16T20:48:56Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2011-05 | - |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/168552 | - |
dc.description.abstract | We discuss pairs (phi, Phi) of maps, where phi is a map between C*-algebras and Phi is a phi-module map between Hilbert C*-modules, which are generalization of representations of Hilbert C*-modules. A covariant version of Stinespring's theorem for such a pair (phi, Phi) is established, and quantum stochastic processes constructed from pairs ({phi(t)}, {Phi(t)}) of families of such maps are studied. We prove that the quantum stochastic process J = {J(t)} constructed from a phi-quantum dynamical semigroup Phi = {Phi(t)} is a j-map for the quantum stochastic process j = {j(t)} constructed from the given quantum dynamical semigroup phi = {phi(t)}, and that J is covariant if the phi-quantum dynamical semigroup Phi is covariant. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | AMER INST PHYSICS | - |
dc.title | Quantum stochastic processes for maps on Hilbert C*-modules | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jaeseong | - |
dc.identifier.doi | 10.1063/1.3582778 | - |
dc.identifier.scopusid | 2-s2.0-79957916980 | - |
dc.identifier.wosid | 000291106000026 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL PHYSICS, v.52, no.5 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.citation.volume | 52 | - |
dc.citation.number | 5 | - |
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 | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.subject.keywordPlus | THEOREM | - |
dc.identifier.url | https://aip.scitation.org/doi/10.1063/1.3582778 | - |
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