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RECONSTRUCTION THEOREM FOR STATIONARY MONOTONE QUANTUM MARKOV PROCESSES
- Heo, Jaeseong;
- Belavkin, Viacheslav P.;
- Ji, Un Cig
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5초록
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.
키워드
Hilbert C*-module; covariant representation; quantum stochastic process; quantum dynamical semigroup; DYNAMICAL SEMIGROUPS; STOCHASTIC-PROCESSES; HILBERT MODULES; DILATIONS; ALGEBRAS; SYSTEMS
- 제목
- RECONSTRUCTION THEOREM FOR STATIONARY MONOTONE QUANTUM MARKOV PROCESSES
- 저자
- Heo, Jaeseong; Belavkin, Viacheslav P.; Ji, Un Cig
- 발행일
- 2012-01
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 49
- 호
- 1
- 페이지
- 63 ~ 74