Wasserstein distance between noncommutative dynamical systems

被引：2
|
作者：
Duvenhage, Rocco [1 ]
机构：
[1] Univ Pretoria, Dept Phys, ZA-0002 Pretoria, South Africa
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 01期
关键词：
Optimal transport; Wasserstein distance; von Neumann algebras; States; Dynamical systems; Open systems; VON-NEUMANN-ALGEBRAS; VONNEUMANN-ALGEBRAS; QUANTUM; JOININGS; SEMIGROUPS; TRANSPORT; THEOREM;
D O I：
10.1016/j.jmaa.2023.127353
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce and study a class of quadratic Wasserstein distances on spaces consisting of generalized dynamical systems on a von Neumann algebra. We emphasize how symmetry of such a Wasserstein distance arises, but also study the asymmetric case. This setup is illustrated in the context of reduced dynamics, and a number of simple examples are also presented.(c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http:// creativecommons.org /licenses /by-nc-nd /4 .0/).
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页数：26
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