On the Minimum Output Entropy of Random Orthogonal Quantum Channels
On the Minimum Output Entropy of Random Orthogonal Quantum Channels
复制标题
关于随机正交量子通道的最小输出熵
DOI：
10.1109/tit.2017.2774833
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发表时间：
2018
影响因子：
2.5
通讯作者：
Nechita Ion
中科院分区：
文献类型：
--
作者：
Fukuda Motohisa;Nechita Ion
我们考虑由具有Haar分布的随机正交矩阵的Stinespring公式定义的随机量子信道序列。对于任意固定的输入状态序列，我们通过随机信道的张量幂研究了输出的渐近本征值分布。我们证明了当张量幂为偶数时，达到最小输出熵的输入态是最大纠缠态(Bell态)的张量积。这种现象与由Haar分布的随机酉阵构造的随机量子信道完全不同，这导致我们提出了一些关于正则化最小输出熵的猜想。
We consider the sequences of random quantum channels defined by using the Stinespring formula with Haar-distributed random orthogonal matrices. For any fixed sequence of input states, we study the asymptotic eigenvalue distribution of the outputs through the tensor powers of random channels. We show that the input states achieving minimum output entropy are tensor products of maximally entangled states (Bell states) when the tensor power is even. This phenomenon is completely different from the one for random quantum channels constructed from Haar-distributed random unitary matrices, which leads us to formulate some conjectures about the regularized minimum output entropy.