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

Entanglement of Formation of Bipartite Quantum States

Kai Chen, Sergio Albeverio and Shao-Ming Fei


We give an explicit tight lower bound for the entanglement of formation for arbitrary bipartite mixed states by using the convex hull construction of a certain function. This is achieved by revealing a novel connection among the entanglement of formation, the well-known Peres-Horodecki and realignment criteria. The bound gives a quite simple and efficiently computable way to evaluate quantitatively the degree of entanglement for any bipartite quantum state.

03.67.Mn, 03.65.Ud, 89.70.+c
entanglement of formation, lower bound

Related publications

2005 Repository Open Access
Kai Chen, Sergio Albeverio and Shao-Ming Fei

Entanglement of formation of bipartite quantum states

In: Physical review letters, 95 (2005) 21, p. 210501