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Quantum Wasserstein distance of order 1 between channels (2210.03483v3)
Published 7 Oct 2022 in quant-ph, math-ph, and math.MP
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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