Mixed State Entanglement Measures for Intermediate Separability

Author(s)
Tsubasa Ichikawa, Marcus Huber, Philipp Krammer, Beatrix Hiesmayr
Abstract

To determine whether a given multipartite quantum state is separable with respect to some partition, we construct a family of entanglement measures {Rm(?)}. This is done utilizing generalized concurrences as building blocks which are defined by flipping of M constituents and indicate states that are separable with regard to bipartitions when vanishing. Furthermore, we provide an analytically computable lower bound for {Rm(?)} via a simple ordering relation of the convex roof extension. Using the derived lower bound, we illustrate the effect of the isotropic noise on a family of four-qubit mixed states for each intermediate separability.

Organisation(s)
Particle Physics
External organisation(s)
Kinki University
Journal
International Journal of Quantum Information (IJQI)
Volume
8
Pages
677-685
No. of pages
9
ISSN
0219-7499
DOI
https://doi.org/10.1142/S0219749910006526
Publication date
2010
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/mixed-state-entanglement-measures-for-intermediate-separability(9c73ddb9-b9f6-4524-b941-6c95edb31cd3).html