### Non-commutativity and local indistinguishability of quantum states.

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**ABSTRACT**: We study the local indistinguishability problem of quantum states. By introducing an easily calculated quantity, non-commutativity, we present an criterion which is both necessary and sufficient for the local indistinguishability of a complete set of pure orthogonal product states. A constructive distinguishing procedure to obtain the concrete local measurements and classical communications is given. The non-commutativity of ensembles can be also used to characterize the quantumness for classical-quantum or quantum-classical correlated states.

**PROVIDER: **S-EPMC4160716 | BioStudies | 2014-01-01

**REPOSITORIES: ** biostudies

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