Local indistinguishability of multipartite orthogonal product bases

So far, very little is known about local indistinguishability of multipartite orthogonal product bases except some special cases. We first give a method to construct an orthogonal product basis with n parties each holding a 1 2 ( n + 1 ) -dimensional system, where n ≥ 5 and n is odd. The proof of th...

Full description

Saved in:
Bibliographic Details
Published inQuantum information processing Vol. 16; no. 11; pp. 1 - 19
Main Authors Xu, Guang-Bao, Wen, Qiao-Yan, Gao, Fei, Qin, Su-Juan, Zuo, Hui-Juan
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2017
Springer Nature B.V
Subjects
Data Structures and Information Theory
Entanglement
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
Local distinguishability
Orthogonal product state
Positive operator-valued measure
Online AccessGet full text

Cover

More Information
Summary:So far, very little is known about local indistinguishability of multipartite orthogonal product bases except some special cases. We first give a method to construct an orthogonal product basis with n parties each holding a 1 2 ( n + 1 ) -dimensional system, where n ≥ 5 and n is odd. The proof of the local indistinguishability of the basis exhibits that it is a sufficient condition for the local indistinguishability of an orthogonal multipartite product basis that all the positive operator-valued measure elements of each party can only be proportional to the identity operator to make further discrimination feasible. Then, we construct a set of n -partite product states, which contains only 2 n members and cannot be perfectly distinguished by local operations and classic communication. All the results lead to a better understanding of the phenomenon of quantum nonlocality without entanglement in multipartite and high-dimensional quantum systems.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-017-1725-5