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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 ...
On quantum versions of the classical Wasserstein distance
(Springer Verlag, 2017)
Investigamos una definición de la distancia cuántica de Wasserstein de dos estados basada en sus acoplamientos en el álgebra de productos como en el caso clásico. Un análisis detallado del modelo de dos qubits conduce a ...