Options
Beating the Clauser-Horne-Shimony-Holt and the Svetlichny games with optimal states
Citation
Su, H.-Y., Ren, C., Chen, J.-L., Zhang, F.-L., Wu, C., Xu, Z.-P., Gu, M., Sai Vinjanampathy, & Kwek, L. C. (2016). Beating the Clauser-Horne-Shimony-Holt and the Svetlichny games with optimal states. Physical Review A, 93(2), Article 022110. https://doi.org/10.1103/PhysRevA.93.022110
Author
Su, Hong-Yi
•
Ren, Changliang
•
Chen, Jing-Ling
•
Zhang, Fu-Ling
•
Wu, Chunfeng
•
Xu, Zhen-Peng
•
Gu, Mile
•
Sai Vinjanampathy
•
Abstract
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.
Date Issued
2016
Publisher
American Physical Society
Journal
Physical Review A