Tomography Theory for the Tripartite Entangled System

Abstract

Based on the newly constructed tripartite entangled state representation and the three-mode Wigner operator whose marginal distributions give the probability of finding the particles in an entangled way, we generalize the tomographic theory to three-dimensional phase space. The entangled Radon transform parameters for the entangled Wigner operator are suitably chosen and the correct quadrature operators are obtained. The eigenstate of the new quadratures is also derived.