We investigate the nonlocality of Schmidt-correlated （SC） states, and present analytical expressions of the maximum violation value of Bell inequalities. It is shown that the violation of Clauser-Horne-Shimony-Holt ...We investigate the nonlocality of Schmidt-correlated （SC） states, and present analytical expressions of the maximum violation value of Bell inequalities. It is shown that the violation of Clauser-Horne-Shimony-Holt （CHSH） inequality is necessary and sufficient for the nonlocality of two-qubit SC states, whereas the violation of the Svetlichny inequaJity is only a sumcient condition for the genuine nonlocality of three-qubit SC states. Furthermore, the relations among the maximum violation values, concurrence, and relative entropy entanglement are discussed.展开更多
We reinvestigate the fidelity based on Hilbert-Schmidt inner product and give a simplified form.The geometric meaning of the fidelity is clarified.We then give the analytic expression of the fidelity susceptibility in...We reinvestigate the fidelity based on Hilbert-Schmidt inner product and give a simplified form.The geometric meaning of the fidelity is clarified.We then give the analytic expression of the fidelity susceptibility in both Hilbert and Liouville space.By using the reconstruction of symmetric logarithmic derivative in Liouville space,we present the time derivative of fidelity susceptibility with the normalized density vector representation.展开更多
基金Supported by National Natural Science Foundation of China under Grant Nos. 10875081, 10871227, KZ200810028013,PHR201007107NSF of Beijing 1092008
文摘We investigate the nonlocality of Schmidt-correlated （SC） states, and present analytical expressions of the maximum violation value of Bell inequalities. It is shown that the violation of Clauser-Horne-Shimony-Holt （CHSH） inequality is necessary and sufficient for the nonlocality of two-qubit SC states, whereas the violation of the Svetlichny inequaJity is only a sumcient condition for the genuine nonlocality of three-qubit SC states. Furthermore, the relations among the maximum violation values, concurrence, and relative entropy entanglement are discussed.
基金supported by the National Fundamental Research Program of China (GrantNo. 2012CB921602)the National Natural Science Foundation of China(Grant Nos. 11025527 and 10935010)
文摘We reinvestigate the fidelity based on Hilbert-Schmidt inner product and give a simplified form.The geometric meaning of the fidelity is clarified.We then give the analytic expression of the fidelity susceptibility in both Hilbert and Liouville space.By using the reconstruction of symmetric logarithmic derivative in Liouville space,we present the time derivative of fidelity susceptibility with the normalized density vector representation.
