Abstract
In this paper, we mainly study the local indistinguishability of mutually orthogonal product basis quantum states in . In , Bennett et al. [ Phys. Rev. A 59, 1070 (1999)] presented nine orthogonal product basis quantum states which cannot be distinguished by local operations and classical communication (LOCC). In the work by Zhang et al. [Z.-C. Zhang et al., Phys. Rev. A 90, 022313 (2014)], this result was generalized in , where is odd. In this paper, we aim to construct locally indistinguishable orthogonal product basis quantum states in . For the general quantum system, we first construct orthogonal product states, and prove these states are locally indistinguishable using a very simple but quite effective method. Then, based on these states, we construct some classes of locally indistinguishable orthogonal product basis quantum states (OPBS) in . Finally, we construct some LOCC indistinguishable OPBS in multipartite quantum systems. All of the above results demonstrate the phenomenon of nonlocality without entanglement.
- Received 12 April 2015
DOI:https://doi.org/10.1103/PhysRevA.92.012332
©2015 American Physical Society