Physics – Quantum Physics
Scientific paper
2003-04-03
Physics
Quantum Physics
added necessary and sufficient condition for complete product bases, example Lagarias-Shor ten-parties complete basis
Scientific paper
10.1103/PhysRevA.70.022309
It is not always possible to distinguish multipartite orthogonal states if only local operation and classical communication (LOCC) are allowed. We prove that we cannot distinguish the states of an unextendible product basis (UPB) by LOCC even when infinite resources (infinite-dimensional ancillas, infinite number of operations). Moreover we give a necessary and sufficient condition for the LOCC distinguishability of complete product bases.
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