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Published on: May 30, 2014
Non-commutativity and local indistinguishability of quantum states
Teng Ma1, Ming-Jing Zhao2, Yao-Kun Wang3
1School of Mathematical Sciences, Capital Normal University, Beijing 100048, P. R. China.
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.
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