Non-commutativity and local indistinguishability of quantum states.

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.

SUBMITTER: Ma T 

PROVIDER: S-EPMC4160716 | biostudies-other | 2014

REPOSITORIES: biostudies-other