Open quantum walks (OQWs) are a class of quantum walks, which are purely driven by the
interaction with the dissipative environment. In this paper, we review theoretical advances …

In this work, we study the recurrence problem for quantum Markov chains, which are
quantum versions of classical Markov chains introduced by S. Gudder and described in …

This paper uncovers and exploits a link between a central object in harmonic analysis, the
so-called Schur functions, and the very hot topic of symmetry protected topological phases of …

Inspired by the classical spectral analysis of birth-death chains using orthogonal
polynomials, we study an analogous set of constructions in the context of open quantum …

The symmetric Schur process has many different types of formals, such as the functional
differential, functional integral, and special functional processes based on special functions …

We describe the set of all possible masses at a fixed point of the real axis in the context of
the most general case of a truncated matricial (possibly degenerate) Hamburger moment …

The standard proof of Khrushchev's formula for orthogonal polynomials on the unit circle
given in Khrushchev (J Approx Theory 108: 161–248, 2001, J Approx Theory 116: 268–342 …

This paper is concerned with the construction of quantum fields presentation and generating
functions of orthogonal Schur functions and orthogonal universal characters (OUC). The …

In this work we consider open quantum random walks on the non-negative integers. By
considering orthogonal matrix polynomials we are able to describe transition probability …

The study of recurrences and revivals in quantum systems has attracted a great deal of
interest because of its importance in the control of quantum systems and its potential use in …