关于矩阵凸性与量子熵强次可加性的思考
量子物理
2024-07-26 v5 统计力学
信息论
数学物理
math.IT
math.MP
摘要
将熟知的凸性二阶导数检验与预解式演算相结合，可得到研究矩阵值凸函数的一个有用工具。我们展示了该方法在本领域若干定理上的适用性。这些定理包括在对量子熵强次可加性的Lieb-Ruskai证明中起本质作用的凸性原理。
引用
@article{arxiv.2210.10729,
title = {Ruminations on Matrix Convexity and the Strong Subadditivity of Quantum Entropy},
author = {Michael Aizenman and Giorgio Cipolloni},
journal= {arXiv preprint arXiv:2210.10729},
year = {2024}
}
备注
The published version of this paper includes a local mistake in Eq. (5.7). Posted here are: i) the corresponding Erratum & Addendum (LMP 2024), and ii) a corrected version of the paper with the minor adjustments spelled in (i)