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

Schmidt-correlated states, Weak Schmidt decomposition and generalized Bell-basis related to Hadamard matrices

Bobo Hua, Shao-Ming Fei, Jürgen Jost and Xianqing Li-Jost


We study the weak Schmidt decomposition which allows the Schmidt coefficients to be complex-valued. For a mixed state that is an ensemble of pure states which can be simultaneously diagonalized in weak Schmidt decomposition, we obtain a criterion of separability of the state. Furthermore, we introduce generalized Bell bases and explore their connections to Hadamard matrices and the separability criterion.


Related publications

2014 Repository Open Access
Bobo Hua, Shao-Ming Fei, Jürgen Jost and Xianqing Li-Jost

Schmidt-correlated states, weak Schmidt decomposition and generalized Bell bases related to Hadamard matrices

In: Reports on mathematical physics, 74 (2014) 1, pp. 89-103