Gaussian quantum Markov semigroups on a one-mode fock space: Irreducibility and normal invariant states

J Agredo, F Fagnola, D Poletti - Open Systems & Information …, 2021 - World Scientific
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 …

The Kossakowski matrix and strict positivity of Markovian quantum dynamics

J Agredo, F Fagnola, D Poletti - Open Systems & Information …, 2022 - World Scientific
We investigate the relationship between strict positivity of the Kossakowski matrix,
irreducibility and positivity improvement properties of Markovian quantum dynamics. We …

[引用][C] On irreducibility and positivity improvement of norm continuous quantum Markov semigroups

S Hachicha, I Nasraoui - Infinite Dimensional Analysis, Quantum …, 2024 - World Scientific
We show that for a norm continuous quantum Markov semigroup irreducibility and positivity
improvement for any time t> 0 are equivalent under some general conditions that hold, in …