可分量量子信道与可分量量子态乘积表示唯一性的条件
量子物理
2014-08-07 v4
摘要
我们给出了一个充分条件，即当可分量量子信道的算子和表示由乘积算子构成时，该表示是该信道唯一的乘积表示，并随后提供了任意多方此类信道的示例。这一结果对于确定给定的可分量信道是否可以通过局域操作和经典通信精确实现的努力具有启示意义。通过 Choi-Jamiolkowski 同构，它也可转化为表示给定量子态的乘积态系综唯一性的条件。这些思想源于对由给定一组乘积算子张成的子空间是否包含至少一个额外乘积算子的考量。
引用
@article{arxiv.1210.0644,
title = {Conditions for uniqueness of product representations for separable quantum channels and separable quantum states},
author = {Scott M. Cohen},
journal= {arXiv preprint arXiv:1210.0644},
year = {2014}
}
备注
Latest version has a new title, and is completely reorganized to emphasize the quantum information applications as opposed to the mathematical results. Version 3 has revised results for more than two parties, having discovered an error in earlier versions (see Conclusions for an explanation). Bipartite results are unchanged