Entanglement witnesses and geometry of entanglement of two-qutrit states

Author(s)
Reinhold Bertlmann, Philipp Krammer
Abstract

We construct entanglement witnesses with regard to the geometric structure of the Hilbert–Schmidt space and investigate the geometry of entanglement. In particular, for a two-parameter family of two-qutrit states that are part of the magic simplex, we calculate the Hilbert–Schmidt measure of entanglement. We present a method to detect bound entanglement which is illustrated for a three-parameter family of states. In this way, we discover new regions of bound entangled states. Furthermore, we outline how to use our method to distinguish entangled from separable states.

Organisation(s)
Particle Physics
Journal
Annals of Physics
Volume
324
Pages
1388-1407
No. of pages
20
ISSN
0003-4916
DOI
https://doi.org/10.1016/j.aop.2009.01.008
Publication date
2009
Peer reviewed
Yes
Austrian Fields of Science 2012
1030 Physics, Astronomy
Portal url
https://ucrisportal.univie.ac.at/en/publications/entanglement-witnesses-and-geometry-of-entanglement-of-twoqutrit-states(d69d66e0-c454-45f2-9911-c7f760e02052).html