English

Extending quantum detailed balance through optimal transport

Quantum Physics 2025-05-13 v2 Mathematical Physics math.MP Operator Algebras

Abstract

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 detailed balance. This is done in terms of transport plans and Wasserstein distances between systems on possibly different observable algebras.

Keywords

Cite

@article{arxiv.2206.15287,
  title  = {Extending quantum detailed balance through optimal transport},
  author = {Rocco Duvenhage and Samuel Skosana and Machiel Snyman},
  journal= {arXiv preprint arXiv:2206.15287},
  year   = {2025}
}

Comments

v1: 42 pages. v2: Minor changes and corrections. 43 pages

R2 v1 2026-06-24T12:09:42.122Z