2015/09/14 by Zhi-Chao Zhang, Fei Gao, Ya Cao +2 · 2 citations
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.93.012314
published as Phys. Rev. A 93, 012314 (2016)
arxiv created 2015/09/14 · arxiv updated 2016/01/13
In the general bipartite quantum system m ⊗ n, Wang et al. [Y.-L Wang et al., Phys. Rev. A 92, 032313 (2015)] presented 3(m+n)-9 orthogonal product states which cannot be distinguished by local operations and classical communication (LOCC). In this paper, we aim to construct less locally indistinguishable orthogonal product states in m⊗ n . First, in 3⊗ n (3< n) quantum system, we construct 3n-2 locally indistinguishable orthogonal product states which are not unextendible product bases. Then, for m⊗ n (4≤ m≤ n), we present 3n+m-4 orthogonal product states which cannot be perfectly distinguished by LOCC. Finally, in the general bipartite quantum system m⊗ n(3≤ m≤ n), we show a smaller set with 2n-1 orthogonal product states and prove that these states are LOCC indistinguishable using a very simple but quite effective method. All of the above results demonstrate the phenomenon of nonlocality without entanglement.