Quantum Wasserstein distance of order 1 between channels

被引：2
|
作者：
Duvenhage, Rocco [1 ]
Mapaya, Mathumo [1 ]
机构：
[1] Univ Pretoria, Dept Phys, ZA-0002 Pretoria, South Africa
来源：
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2023年 / 26卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Quantum optimal transport; quantum Wasserstein distance of order 1; quantum channels; composite systems; OPTIMAL MASS-TRANSPORT; MEAN-FIELD;
D O I：
10.1142/S0219025723500066
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We set up a general theory leading to a quantum Wasserstein distance of order 1 between channels in an operator algebraic framework. This gives a metric on the set of channels from one composite system to another, which is deeply connected to reductions of the channels. The additivity and stability properties of this metric are studied.
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页数：36
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