Non-commutativity and Local Indistinguishability of Quantum States

Teng Ma, Ming-Jing Zhao, Yao-Kun Wang, and Shao-Ming Fei

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Submission date: 15. Sep. 2014
Pages: 14
published in: Scientific Reports, 4 (2014), art-no. 6336 
DOI number (of the published article): 10.1038/srep06336
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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.