2 papers
quant-ph2020
Homogeneous open quantum walks on the line: criteria for site recurrence and absorption
T. S. Jacq, C. F. Lardizabal
In this work, we study open quantum random walks, as described by S. Attal et al. These objects are given in terms of completely positive maps acting on trace-class operators, lead…
math-ph2017
Open quantum random walks on the half-line: the Karlin-McGregor formula, path counting and Foster's Theorem
Thomas S. Jacq, Carlos F. Lardizabal
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 express…