Detecting Genuine Multipartite Quantum Nonlocality: A Simple Approach and Generalization to Arbitrary Dimensions

Detecting Genuine Multipartite Quantum Nonlocality: A Simple Approach and Generalization to Arbitrary Dimensions
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DOI:
10.1103/physrevlett.106.020405
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发表时间:
2011-01-11
影响因子:
8.6
通讯作者:
Liang, Yeong-Cherng
Liang, Yeong-Cherng
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Bancal, Jean-Daniel;Brunner, Nicolas;Liang, Yeong-Cherng

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研究了检测真正的多部分非定域性并因此检测真正的多部分纠缠的贝尔型不等式的结构。我们首先对斯维特利奇尼的原始不等式提出了一种简单而直观的方法,它提供了对其结构及其在量子力学中的违反的清晰理解。基于这种方法,我们推导出一系列贝尔型不等式,用于在涉及任意数量的参与方和任意维度的系统的场景中检测真正的多方非局域性。最后,我们讨论这些不等式的严格性和量子力学违规。
The structure of Bell-type inequalities detecting genuine multipartite nonlocality, and hence detecting genuine multipartite entanglement, is investigated. We first present a simple and intuitive approach to Svetlichny's original inequality, which provides a clear understanding of its structure and of its violation in quantum mechanics. Based on this approach, we then derive a family of Bell-type inequalities for detecting genuine multipartite nonlocality in scenarios involving an arbitrary number of parties and systems of arbitrary dimension. Finally, we discuss the tightness and quantum mechanical violations of these inequalities.