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RECONSTRUCTION THEOREM FOR STATIONARY MONOTONE QUANTUM MARKOV PROCESSESopen access
- Issue Date
- Jan-2012
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Hilbert C*-module; covariant representation; quantum stochastic process; quantum dynamical semigroup
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.49, no.1, pp.63 - 74
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 49
- Number
- 1
- Start Page
- 63
- End Page
- 74
- ISSN
- 1015-8634
- 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.
- Appears in
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)