信道间的量子瓦瑟斯坦距离为1阶

Pub Date : 2022-10-07 DOI:10.1142/s0219025723500066

Rocco Duvenhage, Mathumo Mapaya

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引用次数: 1

摘要

我们在算子代数框架中建立了1阶量子沃瑟斯坦距离的一般理论，扩展了最近在有限维上的工作。此外，该理论不仅适用于状态，也适用于通道，给出了从一个复合系统到另一个复合系统的通道集的度量。研究了该度量的可加性和稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quantum Wasserstein distance of order 1 between channels

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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