An Unentangled Gleason's Theorem
An Unentangled Gleason's Theorem
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未纠缠的格里森定理
DOI：
10.1090/conm/305/05226
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
N. Wallach
中科院分区：
文献类型：
--
作者：
N. Wallach
本文的目的是在量子信息论中关于“无纠缠的非定域性”的最新工作的启发下，对格里森定理进行推广。对于三维或更大维度的多部量子系统，非纠缠态集合上唯一的非负框架函数是由标准玻恩概率规则给出的。然而，如果一个系统是2维的，这就不一定了。
The purpose of this note is to give a generalization of Gleason's theorem inspired by recent work in quantum information theory on "nonlocality without entanglement." For multipartite quantum systems, each of dimension three or greater, the only nonnegative frame functions over the set of unentangled states are those given by the standard Born probability rule. However, if one system is of dimension 2 this is not necessarily the case.