去极化信道和Horns问题
The depolarising channel and Horns problem
摘要:
我们研究了去极化(量子比特)通道对置换不变输入态的作用。更具体地说,我们提出的问题上的不变子空间的输出的去极化通道,这样的特殊输入,支持。一个答案给出了均匀分布的状态在isotypical子空间,也被称为对称维尔纳状态。Horns问题和两个相应的不等式被调用作为一种证明方法。
英文摘要:
We investigate the action of the depolarising (qubit) channel on permutation invariant input states. More specifically, we raise the question on which invariant subspaces the output of the depolarising channel, given such special input, is supported. An answer is given for equidistributed states on isotypical subspaces, also called symmetric Werner states. Horns problem and two of the corresponding inequalities are invoked as a method of proof.
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