Introduction to quantum exclusion processes
Published: Jul 2, 2025
Last Updated: Jul 2, 2025
Authors:Guillaume Barraquand, Denis Bernard
Abstract
The QSSEP, short for quantum symmetric simple exclusion process, is a paradigm model for stochastic quantum dynamics. Averaging over the noise, the quantum dynamics reduce to the well-studied SSEP (symmetric simple exclusion process). These notes provide an introduction to quantum exclusion processes, focusing on the example of QSSEP and its connection to free probability, with an emphasis on mathematical aspects.