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Quantum optimal transport with convex regularization

delete2025-11-01
delete0
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OA
AI
E
Emanuele Caputo
A
Augusto Gerolin
N
Nataliia Monina
L
Lorenzo Portinale *
DOI：10.1016/j.jfa.2025.111262delete
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摘要

摘要

En 中文
在本手稿中，我们研究了具有一般凸正则化的量子最优运输问题（有限维）的静态表述及其不平衡松弛。在这两种情况下，我们证明了偶合结果、原始问题极小值点（对原始问题）和偶问题极大值点（对偶问题）的特征描述。我们定义的一个重要工具是经典 (c, psi, epsilon epsilon)-变换的一般凸正则化相关的非交换版本，我们利用它来证明相关Sinkhorn迭代的收敛性。最后，我们展示了当边际惩罚参数趋于+∞时，不平衡运输问题向受约束问题的收敛性，以及变换的收敛性。(c) 2025 The Author(s)。由Elsevier Inc.出版。本文是开放获取文章，遵循CC BY许可（http://creativecommons.org/licenses/by/4.0/）。
Keyword:
Quantum optimal transport
Entropic regularization
Composite systems
Sinkhorn algorithm
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期刊

J
Journal of Functional Analysis
IF:
1.6
论文数:
189
被引数:
0

机构

U
university of ottawa
学者数:
4.4K
论文数: 2.0K
被引数: 0
U
University of Milan
学者数:
5.1W
论文数: 3.9W
被引数: 5.0W
U
University of Warwick
学者数:
2.2W
论文数: 2.2W
被引数: 85
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