title: Estimating entanglement monotones with a generalization of the Wootters formula.
abstract: Entanglement monotones, such as the concurrence, are useful tools to characterize quantum correlations in various physical systems. The computation of the concurrence involves, however, difficult optimizations and only for the simplest case of two qubits a closed formula was found by Wootters [Phys. Rev. Lett. 80, 2245 (1998)]. We show how this approach can be generalized, resulting in lower bounds on the concurrence for higher dimensional systems as well as for multipartite systems. We demonstrate that for certain families of states our results constitute the strongest bipartite entanglement criterion so far; moreover, they allow us to recognize novel families of multiparticle bound entangled states.
authors.affiliation: Department of Science, Zhijiang College, Zhejiang University of Technology, Hangzhou 310024, China.
authors.forename: Zhi-Hua
authors.initials: ZH
authors.lastname: Chen
authors.forename: Zhi-Hao
authors.initials: ZH
authors.lastname: Ma
authors.forename: Otfried
authors.initials: O
authors.lastname: Gühne
authors.forename: Simone
authors.initials: S
authors.lastname: Severini