We study a class of ergodic quantum Markov semigroups on finite-dimensional unital C⁎-
algebras. These semigroups have a unique stationary state σ, and we are concerned with …

We add memory effects to the master equation describing a harmonic oscillator embedded
in a reservoir. Solving the time evolution exactly, we show that the model is sensible only in …

The aim of this work is to analyze the structure of a tracially symmetric Dirichlet form on a C∗-
algebra, in terms of a killing weight and a closable derivation taking values in a Hilbert …

We extend three related results from the analysis of influences of Boolean functions to the
quantum setting, namely the KKL theorem, Friedgut's Junta theorem and Talagrand's …

We consider the most general Gaussian quantum Markov semigroup on a one-mode Fock
space, discuss its construction from the generalized GKSL representation of the generator …

Characterization of Gaussian quantum Markov semigroups Page 1 Infinite Dimensional
Analysis, Quantum Probability and Related Topics Vol. 25, No. 3 (2022) 2250014 (24 pages) c© …

The exponential convergence to invariant subspaces of quantum Markov semigroups plays
a crucial role in quantum information theory. One such example is in bosonic error correction …

We show how Dirichlet forms provide an approach to potential theory of noncommutative
spaces based on the notion of energy. The correspondence with KMS-symmetric Markovian …

We prove the quantum Zeno effect in open quantum systems whose evolution, governed by
quantum dynamical semigroups, is repeatedly and frequently interrupted by the action of a …

Dirichlet forms have become an indispensable tool for the study of Markov processes and
the analysis of second order elliptic operators ([FOT],[Da 2],[MRY]). Following Gross' …