Optimal entanglement witnesses for qubits and qutrits

Autor(en)

Reinhold Bertlmann, Katharina Durstberger, Beatrix Hiesmayr, Philipp Krammer

Abstrakt

We study the connection between the Hilbert-Schmidt measure of entanglement (that is the minimal distance of an entangled state to the set of separable states) and entanglement witness in terms of a generalized Bell inequality which distinguishes between entangled and separable states. A method for checking the nearest separable state to a given entangled one is presented. We illustrate the general results by considering isotropic states, in particular two-qubit and two-qutrit states-and their generalizations to arbitrary dimensions-where we calculate the optimal entanglement witnesses explicitly. Π2005 The American Physical Society.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Journal

Physical Review A

Band

72

Anzahl der Seiten

9

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.72.052331

Publikationsdatum

2005

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/6c33920c-0c45-47e1-afb9-f86d19cd5192