Duvenhage, Rocco de VilliersMapaya, Mathumo2023-11-292023-06Duvenhage, R. & Mapaya, M. 2023, 'Quantum Wasserstein distance of order 1 between channels', Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 26, no. 3, art. 2350006, doi : 10.1142/S0219025723500066.0219-0257 (print)1793-6306 (online)http://hdl.handle.net/2263/93539We set up a general theory leading to a quantum Wasserstein distance of order 1 between channels in an operator algebraic framework. This gives a metric on the set of channels from one composite system to another, which is deeply connected to reductions of the channels. The additivity and stability properties of this metric are studied.en© World Scientific Publishing. Electronic version of an article published in Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 26, no. 3, art. 2350006, 2023, doi : 10.1142/S0219025723500066. The original publication is available at : https://www.worldscientific.com/worldscinet/idaqp.Composite systemsQuantum channelsQuantum Wasserstein distance of order 1Quantum optimal transportPostprint Article