Bound on local unambiguous discrimination between multipartite quantum states

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 $$\max \{d_{i}\}$$ max { d i } , where the space spanned by the set can be expressed in the irreducible form $$\otimes _{i=1}^{N}d_{i}$$ ⊗ i = 1 N d i and $$d_{i}$$ d i is the optimal local dimension of the $$i\hbox {th}$$ i th party. That is, $$\max \{d_{i}\}$$ max { d i } is an upper bound. We also show that it is tight, namely there exists a set of $$\max \{d_{i}\}+1$$ 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. Quantum Information Processing Springer Journals

Bound on local unambiguous discrimination between multipartite quantum states

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Springer US
Copyright © 2014 by Springer Science+Business Media New York
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
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