13 citations · 63 across the 32 of their papers we have counts for
6 papers · 1 filter
The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators
George Androulakis, Alexander Wiedemann, Matthew Ziemke
We prove that for every semigroup of Schwarz maps on the von~Neumann algebra of all bounded linear operators on a Hilbert space which has a subinvariant faithful normal state there…
On the nonlinearity of quantum dynamical entropy
George Androulakis, Duncan Wright
Linearity of a dynamical entropy means that the dynamical entropy of the n-fold composition of a dynamical map with itself is equal to n times the dynamical entropy of the map for…
GKSL Generators and Digraphs: Computing Invariant States
George Androulakis, Alexander Wiedemann
In recent years, digraph induced generators of quantum dynamical semigroups have been introduced and studied, particularly in the context of unique relaxation and invariance. In th…
Quantum Kac's Chaos
George Androulakis, Rade Musulin
We study the notion of quantum Kac's chaos which was implicitly introduced by Spohn and explicitly formulated by Gottlieb. We prove the analogue of a result of Sznitman which gives…
Generators of Quantum Markov Semigroups
George Androulakis, Matthew Ziemke
Quantum Markov Semigroups (QMSs) originally arose in the study of the evolutions of irreversible open quantum systems. Mathematically, they are a generalization of classical Markov…
Dissipative dynamics in semiconductors at low temperature
George Androulakis, Jean Bellissard, Christian Sadel
A mathematical model is introduced which describes the dissipation of electrons in lightly doped semi-conductors. The dissipation operator is proved to be densely defined and posit…