Introduction to quantum exclusion processes

Guillaume Barraquand; Denis Bernard

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arXiv · 2507.01570

Introduction to quantum exclusion processes

Guillaume Barraquand·Denis Bernard

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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.

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Guillaume Barraquand, Denis Bernard. 2025-07-02. Introduction to quantum exclusion processes. https://arxiv.org/abs/2507.01570

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