121 citations · 459 across the 13 of their papers we have counts for
14 papers
Generalized Kraus Operators and Generators of Quantum Dynamical Semigroups
Sabina Alazzawi, Bernhard Baumgartner
Quantum dynamical semigroups play an important role in the description of physical processes such as diffusion, radiative decay or other non-equilibrium events. Taking strongly con…
Characterizing Entropy in Statistical Physics and in Quantum Information Theory
Bernhard Baumgartner
A new axiomatic characterization with a minimum of conditions for entropy as a function on the set of states in quantum mechanics is presented. Traditionally unspoken assumptions a…
An inequality for the trace of matrix products, using absolute values
Bernhard Baumgartner
The absolute value of matrices is used in order to give inequalities for the trace of products. An application gives a very short proof of the tracial matrix Hoelder inequality
The structures of state space concerning Quantum Dynamical Semigroups
Bernhard Baumgartner, Heide Narnhofer
Each semigroup describing the time evolution of an open quantum system on a finite dimensional Hilbert space is related to a special structure of this space. It is shown how the sp…
Translation Invariant States on Twisted Algebras on a Lattice
Bernhard Baumgartner, Fabio Benatti, Heide Narnhofer
We construct an algebra with twisted commutation relations and equip it with the shift. For appropriate irregularity of the non-local commutation relations we prove that the tracia…
Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators
Bernhard Baumgartner, Heide Narnhofer, Walter Thirring
Semigroups describing the time evolution of open quantum systems in finite dimensional spaces have generators of a special form, known as Lindblad generators. The simple generators…