Entanglement Polytopes: Multiparticle Entanglement from SingleParticle Information
Abstract
Entangled manybody states are an essential resource for quantum computing and interferometry. Determining the type of entanglement present in a system usually requires access to an exponential number of parameters. We show that in the case of pure, multiparticle quantum states, features of the global entanglement can already be extracted from local information alone. This is achieved by associating any given class of entanglement with an entanglement polytope—a geometric object that characterizes the singleparticle states compatible with that class. Our results, applicable to systems of arbitrary size and statistics, give rise to local witnesses for global purestate entanglement and can be generalized to states affected by low levels of noise.
 Publication:

Science
 Pub Date:
 June 2013
 DOI:
 10.1126/science.1232957
 arXiv:
 arXiv:1208.0365
 Bibcode:
 2013Sci...340.1205W
 Keywords:

 PHYSICS Physics, AppliedPhysics, Chemistry;
 Quantum Physics;
 Mathematical Physics
 EPrint:
 25 pages, 7 figures