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Stochastic dilation of minimal quantum dynamical semigroup

โœ Scribed by A. Mohari; K. B. Sinha


Book ID
112906377
Publisher
Indian Academy of Sciences,Royal Society of Chemistry
Year
1990
Tongue
English
Weight
706 KB
Volume
102
Category
Article
ISSN
0253-4134

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On dilating quantum dynamical semigroups
โœ R. Alicki; M. Fannes ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Springer ๐ŸŒ English โš– 160 KB

We show that any quantum dynamical semigroup can be written with the help of the solution of an operator-valued classical stochastic differential equation. Moreover, this equation leads to a canonical construction of a unitary dilation in terms of Wiener spaces. We also briefly discuss an equivalent