# The local indistinguishability of multipartite product states

The local indistinguishability of multipartite product states 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 $$2n-1$$ 2 n - 1 orthogonal product states in $${\mathbb {C}}^m\otimes {\mathbb {C}}^n$$ C m ⊗ C n $$(4\le m\le n)$$ ( 4 ≤ m ≤ 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# The local indistinguishability of multipartite product states

, Volume 16 (1) – Dec 9, 2016
13 pages

/lp/springer_journal/the-local-indistinguishability-of-multipartite-product-states-17QdkyykbR
Publisher
Springer Journals
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-016-1477-7
Publisher site
See Article on Publisher Site

### Abstract

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 $$2n-1$$ 2 n - 1 orthogonal product states in $${\mathbb {C}}^m\otimes {\mathbb {C}}^n$$ C m ⊗ C n $$(4\le m\le n)$$ ( 4 ≤ m ≤ 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.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Dec 9, 2016

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