On dilating quantum dynamical semigroups with classical Brownian motion (Q1084762)
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scientific article; zbMATH DE number 3980164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On dilating quantum dynamical semigroups with classical Brownian motion |
scientific article; zbMATH DE number 3980164 |
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On dilating quantum dynamical semigroups with classical Brownian motion (English)
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1986
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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 description on a Fock-like space.
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quantum dynamical semigroup
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operator-valued classical stochastic differential equation
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construction of a unitary dilation in terms of Wiener spaces
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