Optimal Entanglement Witnesses for Qubits and Qutrits
Bertlmann, Reinhold A. ; Durstberger, Katharina ; Hiesmayr, Beatrix C. ; Krammer, Philipp
arXiv, 0508043 / Harvested from arXiv
Text on arXiv
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 2-qubit and 2-qutrit states -- and their generalizations to arbitrary dimensions -- where we calculate the optimal entanglement witnesses explicitly.
Publié le : 2005-08-04
Classification:  Quantum Physics,  Mathematical Physics 
@article{0508043,
     author = {Bertlmann, Reinhold A. and Durstberger, Katharina and Hiesmayr, Beatrix C. and Krammer, Philipp},
     title = {Optimal Entanglement Witnesses for Qubits and Qutrits},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508043}
}

Bertlmann, Reinhold A.; Durstberger, Katharina; Hiesmayr, Beatrix C.; Krammer, Philipp. Optimal Entanglement Witnesses for Qubits and Qutrits. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508043/