MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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.


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