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RECONSTRUCTION THEOREM FOR STATIONARY MONOTONE QUANTUM MARKOV PROCESSES

Title
RECONSTRUCTION THEOREM FOR STATIONARY MONOTONE QUANTUM MARKOV PROCESSES
Author
허재성
Keywords
Hilbert $C^*$-module; covariant representation; quantum stochastic process; quantum dynamical semigroup
Issue Date
2012-02
Publisher
Korean Mathematical Society
Citation
Bulletin of the Korean Mathematical Society, 2012, 49(1), P.63-74, 12P.
Abstract
Based on the Hilbert $C^*$-module structure we study the reconstruction theorem for stationary monotone quantum Markov processes from quantum dynamical semigroups. We prove that the quantum stochastic monotone process constructed from a covariant quantum dynamical semigroup is again covariant in the strong sense.
URI
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BMAX_2012_v49n1_63http://hdl.handle.net/20.500.11754/67407
ISSN
1015-8634
DOI
10.4134/BKMS.2012.49.1.063
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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