Bell's inequality, generalized concurrence and entanglement in qubits

被引：5

作者：

Chang, Po-Yao ^{[1
]}

Chu, Su-Kuan ^{[2
,3
]}

Ma, Chen-Te ^{[4
,5
,6
,7
]}

机构：

[1] Rutgers State Univ, Ctr Mat Theory, Piscataway, NJ 08854 USA

[2] Univ Maryland, NIST, Joint Quantum Inst, College Pk, MD 20742 USA

[3] Univ Maryland, NIST, Joint Ctr Quantum Informat & Comp Sci, College Pk, MD 20742 USA

[4] South China Normal Univ, Sch Phys & Telecommun Engn, Guangzhou 510006, Guangdong, Peoples R China

[5] Univ Cape Town, Dept Math & Appl Math, Lab Quantum Grav & Strings, Private Bag, ZA-7700 Rondebosch, South Africa

[6] Natl Taiwan Univ, Dept Phys, Taipei 10617, Taiwan

[7] Natl Taiwan Univ, Ctr Theoret Sci, Taipei 10617, Taiwan

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2019年 / 34卷 / 6-7期

关键词：

Bell's inequality; generalized concurrence; entanglement; qubit; QUANTUM; COMPUTATION;

D O I：

10.1142/S0217751X19500325

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

It is well known that the maximal violation of the Bell's inequality for a two-qubit system is related to the entanglement formation in terms of a concurrence. However, a generalization of this relation to an n-qubit state has not been found. In this paper, we demonstrate some extensions of the relation between the upper bound of the Bell's violation and a generalized concurrence in several n-qubit states. In particular, we show the upper bound of the Bell's violation can be expressed as a function of the generalized concurrence, if a state can be expressed in terms of two variables. We apply the relation to the Wen-Plaquette model and show that the topological entanglement entropy can be extracted from the maximal Bell's violation.

引用

页数：35

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