共 1 条
Efficient linear criterion for witnessing Einstein-Podolsky-Rosen nonlocality under many-setting local measurements
被引:3
作者:
Zheng, Yu-Lin
Zhen, Yi-Zheng
Chen, Zeng-Bing
[1
]
Liu, Nai-Le
Chen, Kai
Pan, Jian-Wei
机构:
[1] Univ Sci & Technol China, Natl Lab Phys Sci Microscale, Hefei 230026, Peoples R China
基金:
中国国家自然科学基金;
关键词:
VERSUS-NOTHING PROOF;
SEPARABILITY;
STATES;
PARADOX;
ENTANGLEMENT;
D O I:
10.1103/PhysRevA.95.012142
中图分类号:
O43 [光学];
学科分类号:
070207 ;
0803 ;
摘要:
The striking and distinctive nonlocal features of quantum mechanics were discovered by Einstein, Podolsky, and Rosen (EPR) beyond classical physics. At the core of the EPR argument, it was "steering" that Schrodinger proposed in 1935. Besides its fundamental significance, quantum steering opens up a novel application for quantum communication. Recent work has precisely characterized its properties; however, witnessing the EPR nonlocality remains a big challenge under arbitrary local measurements. Here we present an alternative linear criterion and complement existing results to efficiently testify steering for high-dimensional system in practice. By developing a novel and analytical method to tackle the maximization problem in deriving the bound of a steering criterion, we show how observed correlations can reveal powerfully the EPR nonlocality in an easily accessed manner. Although the criteria is not necessary and sufficient, it can recover some of the known results under a few settings of local measurements and is applicable even if the size of the system or the number of measurement settings are high. Remarkably, a deep connection is explicitly established between the steering and amount of entanglement. The results promise viable paths for secure communication with an untrusted source, providing optional loophole-free tests of the EPR nonlocality for high-dimensional states, as well as motivating solutions for other related problems in quantum information theory.
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页数:8
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