Bell inequalities and the separability criterion

被引:594
|
作者
Terhal, BM [1 ]
机构
[1] IBM Corp, Div Res, Yorktown Hts, NY 10598 USA
关键词
Bell inequalities; quantum entanglement; quantum information theory;
D O I
10.1016/S0375-9601(00)00401-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze and compare the mathematical formulations of the criterion for separability for bipartite density matrices and the Bell inequalities. We show that a violation of a Bell inequality can formally be expressed as a witness for entanglement. We also show how the criterion for separability and the existence of a description of the state by a local hidden variable theory, become equivalent when we restrict the set of local hidden variable theories to the domain of quantum mechanics. This analysis sheds light on the essential difference between the two criteria. (C) 2000 Elsevier Science B.V. AII rights reserved.
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页码:319 / 326
页数:8
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