This construction reveals Gaussian quantum Markov semigroups on Weyl algebra, indicating specific properties and applications.
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.
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Dhahri et al. (2025) studied this question.
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