Open AccessBell-type inequality and tripartite nonlocality in three-qubit GHZ-class states
Author(s) -
Jianhua Zhao,
Cao Lian-Zhen,
HongYan Lu,
Xiaoqin Wang
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.120301
Subject(s) - quantum nonlocality , quantum entanglement , concurrence , bell state , local hidden variable theory , bell test experiments , class (philosophy) , physics , bell's theorem , quantum mechanics , operator (biology) , type (biology) , qubit , theoretical physics , quantum , computer science , ecology , biology , biochemistry , chemistry , repressor , artificial intelligence , transcription factor , gene
In this paper, we theoretically study the relation between concurrence and nonlocality depicted by Bell-type inequality violation of quantum mechanics prediction versus local realism prediction for the GHZ (Greenberger -Horne-Zeilinger) class states. Analytical expressions of concurrence, violations of the Mermin inequality and the Svetlichny inequality are obtained. Through numerical calculations, the relationship between entanglement and nonlocality of GHZ-class states is discussed. Our results show that the concurrence is consistent with the degree of nonlocality described by violations of the two Bell-type inequalities of GHZ-class states. The Bell operator and its parameters can obviously reveal the nonlocal features of quantum states.