论文标题

量子边缘的兼容性的足够家庭

A sufficient family of necessary inequalities for the compatibility of quantum marginals

论文作者

Fraser, Thomas C.

论文摘要

量子边际问题与表征不同子系统上哪些量子状态的集合相兼容,因为它们是某种多部分量子状态的边际。这里提出的是一个可数的不平等家族,每种都必须被任何兼容的量子状态集合所满足。此外,这个不平等的家族被证明足够了:每个不兼容的量子态收集都会违反属于家族的一种不平等。

The quantum marginal problem is concerned with characterizing which collections of quantum states on different subsystems are compatible in the sense that they are the marginals of some multipartite quantum state. Presented here is a countable family of inequalities, each of which is necessarily satisfied by any compatible collection of quantum states. Additionally, this family of inequalities is shown to be sufficient: every incompatible collection of quantum states will violate at least one inequality belonging to the family.

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