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arXiv · 2210.03483

Quantum Wasserstein distance of order 1 between channels

Rocco Duvenhage·Mathumo Mapaya
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Abstract

We set up a general theory for a quantum Wasserstein distance of order 1 in an operator algebraic framework, extending recent work in finite dimensions. In addition, this theory applies not only to states, but also to channels, giving a metric on the set of channels from one composite system to another. The additivity and stability properties of this metric are studied.

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Rocco Duvenhage, Mathumo Mapaya. 2022-10-07. Quantum Wasserstein distance of order 1 between channels. https://doi.org/10.1142/s0219025723500066

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