Quantum Wasserstein distance of order 1 between channels
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Date
Authors
Duvenhage, Rocco de Villiers
Mapaya, Mathumo
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publishing
Abstract
We 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.
Description
Keywords
Composite systems, Quantum channels, Quantum Wasserstein distance of order 1, Quantum optimal transport
Sustainable Development Goals
None
Citation
Duvenhage, 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.