Beating the Clauser-Horne-Shimony-Holt and the Svetlichny games with optimal states

Beating the Clauser-Horne-Shimony-Holt and the Svetlichny games with optimal states

We study the relation between the maximal violation of Svetlichny's inequality and the mixedness of quantum states and obtain the optimal state (i.e., maximally nonlocal mixed states, or MNMS, for each value of linear entropy) to beat the Clauser-Horne-Shimony-Holt and the Svetlichny games. For...

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Bibliographic Details
Main Authors: Su, Hong-Yi, Ren, Changliang, Chen, Jing-Ling, Zhang, Fu-Lin, Wu, Chunfeng, Xu, Zhen-Peng, Gu, Mile, Vinjanampathy, Sai, Kwek, Leong Chuan
Other Authors: Institute of Advanced Studies
Format: Article
Language:English
Published: 2018
Subjects:
Linear Entropy
Clauser Horne Shimony Holts
DRNTU::Science::Physics
Online Access:https://hdl.handle.net/10356/89576
http://hdl.handle.net/10220/46303
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Institution: Nanyang Technological University
Language: English
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Summary:We study the relation between the maximal violation of Svetlichny's inequality and the mixedness of quantum states and obtain the optimal state (i.e., maximally nonlocal mixed states, or MNMS, for each value of linear entropy) to beat the Clauser-Horne-Shimony-Holt and the Svetlichny games. For the two-qubit and three-qubit MNMS, we showed that these states are also the most tolerant state against white noise, and thus serve as valuable quantum resources for such games. In particular, the quantum prediction of the MNMS decreases as the linear entropy increases, and then ceases to be nonlocal when the linear entropy reaches the critical points 2/3 and 9/14 for the two- and three-qubit cases, respectively. The MNMS are related to classical errors in experimental preparation of maximally entangled states.

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