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Journal of Stochastic Analysis

GAUSSIAN QUANTUM MARKOV SEMIGROUPS IN THE FOCK-ANTI-FOCK REPRESENTATION OF WEYL ALGEBRA

Ameur Dhahri, Franco Fagnola, D Poletti, Hyun Jae Yoo

Published Mar 1, 2025• 0 citations
Publisher

Abstract

We construct Gaussian quantum Markov semigroups on the representation of the Weyl algebra in the tensor product of the Fock space and its conjugate Fock space by the minimal semigroup method. We prove the explicit formula for the action on Weyl operators and study some properties.
DOI
10.31390/josa.6.1.09

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