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http://dx.doi.org/10.4134/BKMS.2012.49.1.063

RECONSTRUCTION THEOREM FOR STATIONARY MONOTONE QUANTUM MARKOV PROCESSES  

Heo, Jae-Seong (Department of Mathematics Research Institute for Natural Sciences Hanyang University)
Belavkin, Viacheslav P. (Mathematics Department University of Nottingham University Park)
Ji, Un Cig (Department of Mathematics Research Institute of Mathematical Finance Chungbuk National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 63-74 More about this Journal
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.
Keywords
Hilbert $C^*$-module; covariant representation; quantum stochastic process; quantum dynamical semigroup;
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