CGLMP and Bell-CHSH formulations of non-locality: a comparative study

被引：2

作者：

Sandhir, Radha Pyari ^{[1
]}

Adhikary, Soumik ^{[2
]}

Ravishankar, V. ^{[2
]}

机构：

[1] Dayalbagh Educ Inst, Dept Phys & Comp Sci, Dayalbagh Rd, Agra 282005, Uttar Pradesh, India

[2] Indian Inst Technol Delhi, Dept Phys, New Delhi 110016, India

来源：

QUANTUM INFORMATION PROCESSING | 2017年 / 16卷 / 10期

关键词：

Bell inequality; Non-locality; Higher-dimensional systems; INEQUALITY; ENTANGLEMENT; VIOLATIONS; 2-PHOTON;

D O I：

10.1007/s11128-017-1712-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The CGLMP prescription of non-locality is known to identify certain states that satisfy the Bell-CHSH inequality to be non-local. The demonstration is, however, restricted to a specific family of states. In this paper, we address the converse question: can there be states that satisfy the CGLMP inequality but violate Bell-CHSH? We find the answer to be in the affirmative. Examining coupled 4 x 4 level systems, we find that there exist a large number of such states. As a direct consequence, states that violate the CGLMP inequality do not form a superset over the ones that violate Bell-CHSH.

引用

页数：10

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