Journal ArticleDOI
Dissipative operators and cohomology of operator algebras
TLDR
In this paper, it was shown that an ultraweakly continuous completely dissipative operator on a W*-algebra A has a canonical form in terms of a completely positive map and a Hamiltonian provided that the cohomology groups of A with coefficients in a dual normal A-module are zero.Abstract:
It is proved that an ultraweakly continuous completely dissipative operator on a W*-algebra A has a canonical form in terms of a completely positive map and a Hamiltonian provided that the cohomology groups of A with coefficients in a dual normal A-module are zero.read more
Citations
More filters
Journal ArticleDOI
General properties of entropy
TL;DR: This paper discusses properties of entropy, as well as related concepts such as relative entropy, skew entropy, dynamical entropy, etc, in detail with reference to their implications in statistical mechanics, to get a glimpse of systems with infinitely many degrees of freedom.
Journal ArticleDOI
Properties of Quantum Markovian Master Equations
Vittorio Gorini,Alberto Frigerio,Maurizio Verri,Andrzej Kossakowski,E. C. G. Sudarshan,E. C. G. Sudarshan +5 more
TL;DR: In this paper, the authors give an essentially self-contained account of structural properties of quantum open Markovian systems and discuss a general form of quantum detailed balance and its relation to thermal relaxation and to microreversibility.
Journal ArticleDOI
Irreducible quantum dynamical semigroups
TL;DR: In this paper, the authors studied irreducible and ergodic properties of quantum dynamical semigroups, and applied their methods to semigroup of Lindblad type.
Journal ArticleDOI
Non-Markovian quantum stochastic processes and their entropy
TL;DR: In this paper, a quantum stochastic process (QSP) in discrete time capable of describing non-Markovian effects is introduced, which is based directly on the physically relevant correlation functions.
References
More filters
Journal ArticleDOI
On the Generators of Quantum Dynamical Semigroups
TL;DR: In this paper, the notion of a quantum dynamical semigroup is defined using the concept of a completely positive map and an explicit form of a bounded generator of such a semigroup onB(ℋ) is derived.
Journal ArticleDOI
General state changes in quantum theory
TL;DR: In this paper, the formalism developed in previous papers is simplified and generalized to systems with superselection rules, which describes a rather general class of linear mappings of states (density matrices).
Journal ArticleDOI
Cohomology of operator algebras. III : reduction to normal cohomology
TL;DR: In this article, the authors implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).