Quantum Markov Semigroups with Unbounded Generator and Time Evolution of the Support Projection of a State-Reference-Cited by-同舟云学术

Quantum Markov Semigroups with Unbounded Generator and Time Evolution of the Support Projection of a State

Published:2018-03 Issue:01 Volume:25 Page:1850004
ISSN:1230-1612
Container-title:Open Systems & Information Dynamics
language:en
Short-container-title:Open Syst. Inf. Dyn.

Author:

Gliouez Souhir¹,Hachicha Skander²,Nasroui Ikbel³

Affiliation:

1. Université de Carthage, Ecole Polytechnique de Tunis, Tunisia

2. Université Tunis-el Manar, Ecole Nationale d’Ingénieurs de Tunis, Tunisia

3. Université Tunis-el Manar, Faculté des sciences Tunis, Tunisia

Abstract

We characterize the support projection of a state evolving under the action of a quantum Markov semigroup with unbounded generator represented in the generalized GKSL form and a quantum version of the classical Lévy-Austin-Ornstein theorem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S123016121850004X

Reference25 articles.

1. GENERIC q-MARKOV SEMIGROUPS AND SPEED OF CONVERGENCE OF q-ALGORITHMS

2. On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type

3. Decoherence free subspaces of a quantum Markov semigroup

4. Spectral properties of the two-photon absorption and emission process

5. Generic Quantum Markov Semigroups: the Gaussian Gauge Invariant Case

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On irreducibility and positivity improvement of norm continuous quantum Markov semigroups;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2024-04-24

2. The Kossakowski Matrix and Strict Positivity of Markovian Quantum Dynamics;Open Systems & Information Dynamics;2022-06

3. Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States;Open Systems & Information Dynamics;2021-03