Nonlocality of orthogonal product basis quantum states

作者：Zhang Zhi Chao^*; Gao Fei; Tian Guo Jing; Cao Tian Qing; Wen Qiao Yan

来源：Physical Review A, 2014, 90(2): 022313.

DOI：10.1103/PhysRevA.90.022313

In this paper, we mainly study the local indistinguishability of mutually orthogonal product basis quantum states in the high-dimensional quantum systems. In the Hilbert space of 3 circle times 3, Walgate and Hardy [Phys. Rev. Lett. 89, 147901 ( 2002)] presented a very simple proof for nonlocality of nine orthogonal product basis quantum states which are given by Bennett et al. [Phys. Rev. A 59, 1070 ( 1999)]. In the quantum system of d circle times d, where d is odd, we construct d(2) orthogonal product basis quantum states and prove these states are locally indistinguishable. Then we are able to construct some locally indistinguishable product basis quantum states in the multipartite systems. All these results reveal the phenomenon of "nonlocality without entanglement."

• 出版日期2014-8-13
• 单位北京邮电大学