Simple algorithm for local conversion of pure states - art. no. 062303

We describe an algorithm for converting one bipartite quantum state into an other using only local operations and classical communication, which is muc h 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 p arties, followed by local unitary operations which are permutations in the local Schmidt bases.