不可操纵三重关联的量子性特征
Characterization of the quantumness of unsteerable tripartite correlations
摘要：
二分不可操纵量子关联的量子性在操作上由超不可操纵性的概念表征。超不可操纵性是指在经典模拟协议中操纵方必须与要操纵的一方预先共享的随机变量的更大维度的要求，以生成比操纵方侧的量子态（再现给定的不可操纵相关）的局部希尔伯特空间维度更大的不可操纵相关。在本研究中，这个概念的超不可操纵性是广义的定义超双不可操纵性的概念，三方相关，这是不可操纵的双边削减。真正的超双不可操纵性被定义为在所有可能的二分切割中发生超双不可操纵性。给出了三方关联的真正超双不可控性的具体例子。这项研究提供了一个工具，以表征真正的三分量子关联，是不可操纵的每一个二分切割的量子性。
英文摘要：
Quantumness for a bipartite unsteerable quantum correlation is operationally characterized by the notion of super-unsteerability. Super-unsteerability refers to the requirement of a larger dimension of the random variable that the steering party has to preshare with the party to be steered in the classical simulation protocol to generate an unsteerable correlation than the local Hilbert space dimension of the quantum states (reproducing the given unsteerable correlation) at the steering party's side. In the present study, this concept of super-unsteerability is generalized by defining the notion of super-bi-unsteerability for tripartite correlations, which is unsteerable across a bipartite cut. Genuine super-bi-unsteerability is defined as the occurrence of super-bi-unsteerability across all possible bipartite cuts. Specific example of genuine super-bi-unsteerability for tripartite correlations has been presented. This study provides a tool to characterize the genuine quantumness of tripartite quantum correlations which are unsteerable across every bipartite cut.
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