Duvenhage, RoccoSkosana, SamuelSnyman, Machiel2024-11-132024-11-132025-06Duvenhage, R., Skosana, S. & Snyman, M. 2025, 'Extending quantum detailed balance through optimal transport', Reviews in Mathematical Physics, vol. 37, no. 5, art. 2450040, doi : 10.1142/S0129055X24500405.0129-055X (print)1793-6659 (online)10.1142/S0129055X24500405http://hdl.handle.net/2263/99047We 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.en© 2024 World Scientific Publishing. Electronic version of an article published as Reviews in Mathematical Physics, vol. 37, no. 5, art. 2450040, 2025. doi : 10.1142/S0129055X24500405. The original publication is available at : http://www.worldscientific.com/loi/rmp.Dynamical systemsQuantum optimal transportTransport plansWasserstein distanceDetailed balanceNon-equilibriumPreprint Article