We show how one can obtain a class of quadratic Wasserstein metrics, that is to say,
Wasserstein metrics of order 2, on the set of faithful normal states of a von Neumann algebra …

Biological diversity is essential for the maintenance of the ecosystem functions that support
life on the planet. Inherent to this diversity is the seemingly endless way in which the …

We give a full characterisation of decoherence free subspaces of a given quantum Markov
semigroup with generator in a generalised Lindbald form which is valid also for infinite …

A systematic theory of product and diagonal states is developed for tensor products of Z _2 Z
2-graded*∗-algebras, as well as Z _2 Z 2-graded C^* C∗-algebras. As a preliminary step to …

Quantum Bernoulli noises (QBN) are the family of annihilation and creation operators acting
on Bernoulli functionals, which satisfy the canonical anti-commutation relation (CAR) in …

We investigate a definition of quantum Wasserstein distance of two states based on their
couplings on the product algebra as in the classical case. A detailed analysis of the two …

Quantum Bernoulli noises (QBN for short) are the family of annihilation and creation
operators acting on Bernoulli functionals, which satisfy a canonical anticommutation relation …

In this paper, we investigate if the presence of symmetries in the evolution of an open
quantum system gives information about the invariant subspaces. Unfortunately, the answer …

The concept of balance between two state-preserving quantum Markov semigroups on von
Neumann algebras is introduced and studied as an extension of conditions appearing in the …

We develop a general approach to setting up and studying classes of quantum dynamical
systems close to and structurally similar to systems having specified properties, in particular …