关于Haar酉矩阵的部分转置

IF 0.7 3区 数学 Q2 MATHEMATICS
J. Mingo, M. Popa, K. Szpojankowski
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引用次数: 3

摘要

研究了一个Haar分布随机酉矩阵的偏转置对其极限*分布的影响。如果我们确定块的数目b,我们证明了偏转置可以沿着对角线分解成b个矩阵的和,这些矩阵是渐近自由且同分布的。然后,我们考虑了不同块分解的联合效应,并证明在一些温和的假设下,我们也得到了渐近自由。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the partial transpose of a Haar unitary matrix
We consider the effect of a partial transpose on the limit ∗-distribution of a Haar distributed random unitary matrix. If we fix the number of blocks, b, we show that the partial transpose can be decomposed along diagonals into a sum of b matrices which are asymptotically free and identically distributed. We then consider the joint effect of different block decompositions and show that under some mild assumptions we also get asymptotic freeness.
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来源期刊
Studia Mathematica
Studia Mathematica 数学-数学
CiteScore
1.50
自引率
12.50%
发文量
72
审稿时长
5 months
期刊介绍: The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.
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