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Nonlinear Channels of Werner States
Authors:Vladimir I Man’ko  Roman S Puzko
Institution:1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia
2. Moscow Institute of Physics and Technology (State University), Institutskií per. 9, Dolgoprudnyí, Moscow Region, 141700, Russia
Abstract:We study the nonlinear positive map of the density matrix of two-qubit Werner states, called the nonlinear channel. The map ρ → Φ(ρ) is realized by the rational function Φ. We discuss the influence of the map on the entanglement properties of the transformed density matrix. We investigate the violation of the Bell inequality (CHSH inequality) for the two-qubit state Φ(ρ). The nonlinear channels under discussion create the entangled state from a separable Werner state. We study the quantum spin tomograms of the states.
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