Abstract
We investigate the behavior of the maximal violations of the CHSH inequality and Vèrtesi’s inequality under the local filtering operations. An analytical method has been presented for general two-qubit systems to compute the maximal violation of the CHSH inequality and the lower bound of the maximal violation of Vértesi’s inequality over the local filtering operations. We show by examples that there exist quantum states whose non-locality can be revealed after local filtering operation by the Vértesi’s inequality instead of the CHSH inequality.
Highlights
We investigate the behavior of the maximal violations of the CHSH inequality and Vèrtesi’s inequality under the local filtering operations
We show by examples that there exist quantum states whose non-locality can be revealed after local filtering operation by the Vértesi’s inequality instead of the CHSH inequality
We investigate the behavior of the maximal violations of the CHSH inequality and Vértesi’s inequality under local filtering operations
Summary
Ming Li1, Huihui Qin[2,3], Jing Wang[1], Shao-Ming Fei3,4 & Chang-Pu Sun[5] received: 04 January 2017 accepted: 16 March 2017. 20, the authors present a class of two-qubit entangled states admitting local hidden variable models, and show that the states after local filtering violate a Bell inequality. There exist entangled states, the non-locality of which can be revealed by using a sequence of measurements In this manuscript, we investigate the behavior of the maximal violations of the CHSH inequality and Vértesi’s inequality under local filtering operations. An analytical method has been presented for any two-qubit system to compute the maximal violation of the CHSH inequality and the lower bound of the maximal violation of Vértesi’s inequality under local filtering operations. We show by examples that there exist quantum states whose nonlocality can be revealed after local filtering operation by Vértesi’s inequality instead of the CHSH inequality
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