Entanglement and non-locality of pure quantum states.

Abstract

We study the process of majorisation and interconversion of bipartite states, and apply the formalism for analysing the local and non-local content of pure bipartite entangled states. We proved that the states which are majorised by the singlet are fully non-local. For that we introduce a particular chained Bell inequality and the corresponding set of measuremets for its violation.