Entanglement transformation between sets of bipartite pure quantum states using local operations
arXiv:1208.1068 · doi:10.1063/1.4765298
Abstract
Alice and Bob are given an unknown initial state chosen from a set of pure quantum states. Their task is to transform the initial state to a corresponding final pure state using local operations only. We prove necessary and sufficient conditions on the existence of such a transformation. We also provide efficient algorithms that can quickly rule out the possibility of transforming a set of initial states to a set of final states.
19 pages, 1 figure, minor revision, to appear in J.Math.Phys