关于Haar酉矩阵的部分转置
On the Partial Transpose of a Haar Unitary Matrix
摘要：
本文研究了部分转置对Haar分布随机酉矩阵的极限$*$ -分布的影响。如果我们固定，$b$，块的数量，我们表明，部分转置可以分解成一个和的$b$矩阵是渐近自由和同分布。然后，我们考虑不同的块分解的联合效果，并表明在一些温和的假设下，我们也得到渐近自由。
英文摘要：
We consider the effect of a partial transpose on the limit $*$-distribution of a Haar distributed random unitary matrix. If we fix, $b$, the number of blocks, we show that the partial transpose can be decomposed 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
