Deterministic transformations of bipartite pure states

We propose an explicit protocol for the deterministic transformations of bipartite pure states in any dimension using deterministic transformations in lower dimensions. As an example, explicit solutions for the deterministic transformations of 3 circle times 3 pure states by a single measurement are obtained, and an explicit protocol for the deterministic transformations of n circle times n pure states by three-outcome measurements is presented. (C) 2014 Published by Elsevier B.V.