Thursday, June 20, 2013

1306.4576 (M. A. Jafarizadeh et al.)

Quantum Discord for Generalized Bloch Sphere States    [PDF]

M. A. Jafarizadeh, H. Zahir, N. Karimi
In this study for particular states of bipartite quantum system in 2nx2m dimensional Hilbert space state, similar to m or n-qubit density matrices represented in Bloch sphere we call them generalized Bloch sphere states(GBSS), we give an efficient optimization procedure so that analytic evaluation of quantum discord can be performed. Using this optimization procedure, we find an exact analytical formula for the optimum positive operator valued measure (POVM) that maximize measure of the classical correlation for these states. The presented optimization procedure also is used to show that for any concave entropy function the same POVMs are sufficient for quantum discord of mentioned states. Furthermore, We show that such optimization procedure can be used to calculate the geometric measure of quantum discord (GMQD) and then an explicit formula for GMQD of GBSS is given. Finally, a complete geometric view is presented for quantum discord of GBSS. Keywords: Quantum Discord, Generalized Bloch Sphere States, Bipartite Quantum System. PACs Index: 03.67.-a, 03.65.Ta, 03.65.Ud
View original:

No comments:

Post a Comment