Abstract
We study the local indistinguishability of mutually orthogonal product basis quantum states in the high-dimensional quantum system. In the quantum system of , where is odd, Zhang et al. [Z.-C. Zhang et al., Phys. Rev. A 90, 022313 (2014)] have constructed orthogonal product basis quantum states that are locally indistinguishable. We find a subset that contains orthogonal product states that are still locally indistinguishable. We generalize our method to an arbitrary bipartite quantum system . We present a small set with only orthogonal product states and prove that these states are local operations and classical communication (LOCC) indistinguishable. Even though these product states are LOCC indistinguishable, they can be distinguished by separable measurements. This shows that separable operations are strictly stronger than the local operations and classical communication.
- Received 18 March 2015
DOI:https://doi.org/10.1103/PhysRevA.92.032313
©2015 American Physical Society