The local indistinguishability of multipartite product states
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- 作者：Yan-Ling Wang ; Mao-Sheng Li ; Zhu-Jun Zheng ; Shao-Ming Fei
- 关键词：Local indistinguishability ; Multipartite product state
- 刊名：Quantum Information Processing
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：16
- 期：1
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics;
- 出版者：Springer US
- ISSN：1573-1332
- 卷排序：16
文摘
We study the perfectly local indistinguishability of multipartite product states. Firstly, we follow the method of Zhang et al. (Phys Rev A 93:012314, 2016) to give another more concise set of \(2n-1\) orthogonal product states in \({\mathbb {C}}^m\otimes {\mathbb {C}}^n\)\((4\le m\le n)\) which can not be distinguished by local operations and classical communication. Then we use the three-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.