On dilating quantum dynamical semigroups with classical Brownian motion

DOI10.1007/BF00400224zbMath0606.60061OpenAlexW2036150379MaRDI QIDQ1084762

Robert Alicki, Mark Fannes

Publication date: 1986

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00400224

zbMATH Keywords

quantum dynamical semigroupconstruction of a unitary dilation in terms of Wiener spacesoperator-valued classical stochastic differential equation

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Groups and semigroups of linear operators (47D03) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (2)

Dilations of quantum dynamical semigroups with classical Brownian motion ⋮ Quantum stochastic calculus

Cites Work

• Unnamed Item
• Unnamed Item
• Stochastic dilations of uniformly continuous completely positive semigroups
• Quantum Ito's formula and stochastic evolutions
• Fermion Ito's formula and stochastic evolutions
• Covariant Markov dilations of quantum dynamical semigroups
• Unification of Fermion and Boson stochastic calculus
• The Ito-Clifford integral
• On the generators of quantum dynamical semigroups
• Quantum stochastic processes

This page was built for publication: On dilating quantum dynamical semigroups with classical Brownian motion