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RECONSTRUCTION THEOREM FOR STATIONARY MONOTONE QUANTUM MARKOV PROCESSES

Authors
Heo, JaeseongBelavkin, Viacheslav P.Ji, Un Cig
Issue Date
Jan-2012
Publisher
대한수학회
Keywords
Hilbert C*-module; covariant representation; quantum stochastic process; quantum dynamical semigroup
Citation
대한수학회보, v.49, no.1, pp 63 - 74
Pages
12
Indexed
SCIE
SCOPUS
KCI
Journal Title
대한수학회보
Volume
49
Number
1
Start Page
63
End Page
74
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/166550
DOI
10.4134/BKMS.2012.49.1.063
ISSN
1015-8634
2234-3016
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.
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