The local indistinguishability of multipartite product states

Yan-Ling Wang, Mao-Sheng Li, Zhu-Jun Zheng, and Shao-Ming Fei

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Submission date: 15. Feb. 2017
Pages: 17
published in: Quantum information processing, 16 (2017) 1, art-no. 5 
DOI number (of the published article): 10.1007/s11128-016-1477-7
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Abstract:
We study the local indistinguishability of multipartite product states. Firstly, we follow the method of Z.-C. Zhang et al [Phys. Rev. A 93, 012314(2016)] to give another more concise set of 2n − 1 orthogonal product states in ℂ^m ⊗ ℂⁿ (4 ≤ m ≤ n) which can not be distinguished by local operations and classical communication (LOCC). Then we use the 3-dimensional cubes to present some product states which give us an intuitive view on how to construct locally indistinguishable product states in tripartite quantum systems. At last, we give an explicit construction of locally indistinguishable orthogonal product states for general multipartite systems.