A Simple Algorithm for Local Conversion of Pure States
  We describe an algorithm for converting one bipartite quantum state into another using only local operations and classical communication, which is much simpler than the original algorithm given by Nielsen [Phys. Rev. Lett. 83, 436 (1999)]. Our algorithm uses only a single measurement by one of the parties, followed by local unitary operations which are permutations in the local Schmidt bases. 
Jens G Jensen and Ruediger Schack (Royal Holloway, University of   London)