论文标题

通道之间订单1的量子瓦斯汀距离

Quantum Wasserstein distance of order 1 between channels

论文作者

Duvenhage, Rocco, Mapaya, Mathumo

论文摘要

我们为操作员代数框架中的量子剂量1的量子剂距离设置了一个通用理论,从而扩展了有限维度的最新工作。此外,该理论不仅适用于状态,而且适用于渠道,从一个复合系统到另一个复合系统的渠道集给出了指标。研究了该指标的可依性和稳定性。

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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