纠缠破坏秩与SIC POVM的存在性
量子物理
2020-08-03 v3 算子代数
摘要
我们引入并研究了纠缠破坏信道的纠缠破坏秩。我们证明：由\begin{align*} \mathfrak Z(X) = \frac{1}{d+1}(X+\text{Tr}(X)\mathbb I_d) \end{align*}定义的信道的纠缠破坏秩为，当且仅当在维度中存在对称信息完备POVM。
引用
@article{arxiv.1805.04583,
title = {Entanglement Breaking Rank and the existence of SIC POVMs},
author = {Satish K. Pandey and Vern I. Paulsen and Jitendra Prakash and Mizanur Rahaman},
journal= {arXiv preprint arXiv:1805.04583},
year = {2020}
}
备注
Updated version, Changes in the title and expositions