Quantum Wasserstein distance of order 1 between channels
arXiv:2210.03483 · doi:10.1142/S0219025723500066
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.
arXiv commentv1: 34 pages. v2: Minor changes and corrections. v3: Minor corrections; several references added. 35 pages
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