双局域情形下张量化态的非经典关联特性
Characterizing nonclassical correlations of tensorizing states in a bilocal scenario
摘要：
在本文中，我们试图解决的问题，“张量化的国家可以有量子优势？".为了回答这个问题，我们利用测量引起的非局部性（MIN）的概念，并倡导一个基于保真度的nonbilocal措施，以捕捉由于局部不变的冯诺依曼投影测量张量状态的非局部效应。我们发现，基于保真度的nonbilocal措施的属性检索从MIN。分析，我们评估的nonbilocal措施的任何任意纯态。利用相关矩阵的特征值，得到了基于保真度的非双域测度的上界。作为示例，我们计算了一些流行输入状态的非双域性。
英文摘要：
In the present paper, we attempt to address the question of "can tensorizing states have quantum advantages?". To answer this question, we exploit the notion of measurement-induced nonlocality (MIN) and advocate a fidelity based nonbilocal measure to capture the nonlocal effects of tensorizing states due to locally invariant von Neumann projective measurements. We show that the properties of the fidelity based nonbilocal measure are retrieved from that of MIN. Analytically, we evaluate the nonbilocal measure for any arbitrary pure state. The upper bounds of the nonbilocal measure based on fidelity are also obtained in terms of eigenvalues of correlation matrix. As an illustration, we have computed the nonbilocality for some popular input states.
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