Exact analytical solution of Entanglement of Formation and Quantum Discord for Werner state and Generalized Werner-Like states

Abstract

We obtained analytical expressions for Entangled of Formation (EoF) and Quantum Discord (QD) of Werner states and Generalized Werner-Like states. The optimization problem involved under the exact analytical form is obtained for both quantities. In order to illustrate the importance of our results we studied the EoF and the QD of these states. Using discrete formulation of continue states with the f −deformed coherent states obtained as deformed annihilation operator coherent states and as deformed displacement operator coherent states. The EoF and QD of bipartite Werner-Like states f −deformed coherent states are studied for the Pöschl-Teller, Morse and quantum dot deformed potentials. The result obtained are compared with the case of bipartite Werner-Like coherent states.

Entanglement distribution with wavevector-multiplexed quantum memory

“…For a Bell Werner-like state ρ |ψ (V ) an exact expression for E F (V ) has been given in Refs. [38,39]. We note that other entanglement monotones are known [40] to give tighter bounds on E D yet for simplicity and taking into account the estimative character of our calculations we use E F .…”

Quantum Correlation Dynamics in Controlled Two-Coupled-Qubit Systems

“…Over recent years many papers comparing concurrence and quantum discord in a 4-dimensional Hilbert space have been published. Some of them [33,[39][40][41][42] report this comparison in an appropriate space of the real parameters characterizing a priori selected families of mixed states. Others, instead, show the dynamical evolution of concurrence and quantum discord, generated in a chosen open and time-independent physical scenario [43][44][45][46][47][48][49].…”