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Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States
(2021)
We consider the most general Gaussian quantum Markov semigroup on a
one-mode Fock space, discuss its construction from the generalized GKSL representation
of the generator. We prove the known explicit formula on Weyl ...
The Decoherence-Free Subalgebra of Gaussian Quantum Markov Semigroups
(2022-06-03)
We demonstrate a method for finding the decoherence-free subalgebra N(T)
of a Gaussian quantum Markov semigroup on the von Neumann algebra B(Γ(Cd))
of all bounded operator on the Fock space Γ(Cd) on Cd
. We show that ...