Journal of Optics B Quantum and Semiclassical Optics
Tripartite entangled Wigner operator, the Wigner function and its marginal distributions
Hong-Yi Fan, Nian-Quan Jiang
Abstract
For a tripartite entangled system, based on the newly constructed tripartite Einstein–Podolsky–Rosen entangled state, we find the entangled state representation of the Wigner operator. The corresponding Wigner function then leads us to obtain the physical marginal distributions. We emphasize that, for an entangled-particle system, the physical meaning of the Wigner distribution function should lie in that its marginal distributions give the probability of finding the particles in an entangled way.