Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information

Abstract

Unraveling Entanglement Entanglement is a curious property of some quantum mechanical systems, exploited in applications such as quantum information processing. Walter et al. (p. 1205 ) used an algebraic geometry approach to represent the entanglement of a multiparticle system in a pure state in the geometric space whose axes are associated with the properties of the individual particles. In that space, entanglement classes—collections of entangled states that can be transformed into each other—correspond to different convex polytopes, making it possible to distinguish between the classes.