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MiS Preprint

Non-commutativity and Local Indistinguishability of Quantum States

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


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.

Sep 15, 2014
Oct 6, 2014

Related publications

2014 Journal Open Access
Teng Ma, Ming-Jing Zhao, Yao-Kun Wang and Shao-Ming Fei

Non-commutativity and local indistinguishability of quantum states

In: Scientific reports, 4 (2014), p. 6336