On dilating quantum dynamical semigroups with classical brownian motion

✍ Scribed by R. Alicki; M. Fannes

• Publisher: Springer
• Year: 1986
• Tongue: English
• Weight: 160 KB
• Volume: 11
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00400224

✦ Synopsis

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.