The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator

A Dhahri, F Fagnola, R Rebolledo - Infinite Dimensional Analysis …, 2010 - World Scientific
Let be a quantum Markov semigroup on with a faithful normal invariant state ρ. The
decoherence-free subalgebra of is the biggest subalgebra of where the completely positive …

Environment induced decoherence for Markovian evolutions

R Carbone, E Sasso, V Umanità - Journal of Mathematical Physics, 2015 - pubs.aip.org
We study environmental decoherence for a quantum Markov semigroup T acting on an
arbitrary von Neumann algebra M⁠. In particular, we analyze the relationships between the …

Decoherence free subspaces of a quantum Markov semigroup

J Agredo, F Fagnola, R Rebolledo - Journal of Mathematical Physics, 2014 - pubs.aip.org
We give a full characterisation of decoherence free subspaces of a given quantum Markov
semigroup with generator in a generalised Lindbald form which is valid also for infinite …

Decoherence for quantum Markov semi-groups on matrix algebras

R Carbone, E Sasso, V Umanità - Annales Henri Poincaré, 2013 - Springer
In this work we describe a necessary and sufficient condition for decoherence of quantum
Markov evolutions acting on matrix spaces (according to the definition introduced by …

Ergodicity of exclusion semigroups constructed from quantum Bernoulli noises

J Chen, S Hai - Stochastics and Dynamics, 2023 - World Scientific
Quantum Bernoulli noises (QBN) are the family of annihilation and creation operators acting
on Bernoulli functionals, which satisfy the canonical anti-commutation relation (CAR) in …

Weighted number operators on Bernoulli functionals and quantum exclusion semigroups

C Wang, Y Tang, S Ren - Journal of Mathematical Physics, 2019 - pubs.aip.org
Quantum Bernoulli noises (QBN for short) are the family of annihilation and creation
operators acting on Bernoulli functionals, which satisfy a canonical anticommutation relation …

On the asymptotic behavior of generic quantum Markov semigroups

R Carbone, E Sasso, V Umanita - Infinite Dimensional Analysis …, 2014 - World Scientific
We study ergodicity and decoherence for generic quantum Markov semigroups: in particular,
we highlight the strong relationships among these properties, the convergence in law of the …

Environment Decoherence of Quantum Exclusion Semigroups in Terms of Quantum Bernoulli Noises

J Chen, S Hai - Open Systems & Information Dynamics, 2024 - World Scientific
In this paper, we study the environment induced decoherence of quantum exclusion
semigroups constructed by quantum Bernoulli noises. We first study the structure of the …

Regularity of solutions to linear stochastic Schrödinger equations

CM Mora, R Rebolledo - Infinite Dimensional Analysis, Quantum …, 2007 - World Scientific
We develop linear stochastic Schrödinger equations driven by standard cylindrical Brownian
motions (LSSs) that unravel quantum master equations in Lindblad form into quantum …

From classical to quantum entropy production

F Fagnola, R Rebolledo - Quantum Probability and Infinite …, 2010 - books.google.com
246 F. Fagnola & R. Rebolledo ber of different concepts like entropy production,
irreversibility, KMS states and detailed balance conditions among others. The analysis of …