[PDF][PDF] Quantum Markov semigroups and quantum flows

F Fagnola - Proyecciones, 1999 - researchgate.net
AN Kolmogorov and J. von Neumann proposed in the 30's two sets of axioms for the
mathematical modelling of random phenomena. In the classical (Kolmogorov) models one …

Subharmonic projections for a quantum Markov semigroup

F Fagnola, R Rebolledo - Journal of Mathematical Physics, 2002 - pubs.aip.org
This article introduces a concept of subharmonic projections for a quantum Markov
semigroup, in view of characterizing the support projection of a stationary state in terms of …

On the existence of stationary states for quantum dynamical semigroups

F Fagnola, R Rebolledo - Journal of Mathematical Physics, 2001 - pubs.aip.org
Quantum dynamical semigroups QDS appeared for the first time in the physical literature
during the 1970s motivated by studies on the evolution of open systems. This class of …

Criteria for Davies irreducibility of Markovian quantum dynamics

Y Zhang, T Barthel - Journal of Physics A: Mathematical and …, 2024 - iopscience.iop.org
The dynamics of Markovian open quantum systems are described by Lindblad master
equations, generating a quantum dynamical semigroup. An important concept for such …

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 …

Transience and recurrence of quantum Markov semigroups

F Fagnola, R Rebolledo - Probability theory and related fields, 2003 - Springer
This article introduces a concept of transience and recurrence for a Quantum Markov
Semigroup and explores its main properties via the associated potential. We show that an …

Algebraic conditions for convergence of a quantum Markov semigroup to a steady state

F Fagnola, R Rebolledo - Infinite Dimensional Analysis, Quantum …, 2008 - World Scientific
Let be a uniformly continuous quantum Markov semigroup on with generator represented in
a standard GKSL form and a faithful normal invariant state ρ. In this note we give new …

Mathematical properties of quantum evolution equations

A Arnold - Lect. Notes Math.–2008, 1946 - Springer
This chapter focuses on the mathematical analysis of nonlinear quantum transport equations
that appear in the modeling of nano-scale semiconductor devices. We start with a brief …

Generic q-Markov semigroups and speed of convergence of q-algorithms

L Accardi, F Fagnola, S Hachicha - Infinite Dimensional Analysis …, 2006 - World Scientific
We study a special class of generic quantum Markov semigroups, on the algebra of all
bounded operators on a Hilbert space, arising in the stochastic limit of a generic system …

[图书][B] Quantum stochastics

MH Chang - 2015 - books.google.com
The classical probability theory initiated by Kolmogorov and its quantum counterpart,
pioneered by von Neumann, were created at about the same time in the 1930s, but …