Bound on local unambiguous discrimination between multipartite quantum states

We investigate the upper bound on unambiguous discrimination by local operations and classical communication. We demonstrate that any set of linearly independent multipartite pure quantum states can be locally unambiguously discriminated if the number of states in the set is no more than max { d i }...

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Bibliographic Details
Published in:Quantum information processing 2015-02, Vol.14 (2), p.731-737
Main Authors: Yang, Ying-Hui, Gao, Fei, Tian, Guo-Jing, Cao, Tian-Qing, Zuo, Hui-Juan, Wen, Qiao-Yan
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Summary:We investigate the upper bound on unambiguous discrimination by local operations and classical communication. We demonstrate that any set of linearly independent multipartite pure quantum states can be locally unambiguously discriminated if the number of states in the set is no more than max { d i } , where the space spanned by the set can be expressed in the irreducible form ⊗ i = 1 N d i and d i is the optimal local dimension of the i th party. That is, max { d i } is an upper bound. We also show that it is tight, namely there exists a set of max { d i } + 1 states, in which at least one of the states cannot be locally unambiguously discriminated. Our result gives the reason why the multiqubit system is the only exception when any three quantum states are locally unambiguously distinguished.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-014-0870-3