THE CHSH-TYPE INEQUALITIES FOR INFINITE-DIMENSIONAL QUANTUM SYSTEMS

被引：0
作者：
Guo, Yu [1 ,2 ]
机构：
[1] Shanxi Datong Univ, Dept Math, Datong 037009, Peoples R China
[2] Taiyuan Univ Technol, Inst Optoelect Engn, Taiyuan 030024, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2013年 / 27卷 / 21期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Entanglement; CHSH-type inequality; distillation; infinite-dimensional system; BELL INEQUALITY; STATES; ENTANGLEMENT; SEPARABILITY; SUFFICIENT;
D O I：
10.1142/S0217984913501510
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
By establishing CHSH operators and CHSH-type inequalities, we show that any entangled pure state in infinite-dimensional systems is entangled in a 2 circle times 2 subspace. We find that, for infinite-dimensional systems, the corresponding properties are similar to that of the two-qubit case: (i) The CHSH-type inequalities provide a sufficient and necessary condition for separability of pure states; (ii) The CHSH operators satisfy the Cirel'son inequalities; (iii) Any state which violates one of these Bell inequalities is distillable.
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页数：9
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