Local Unitary Equivalence of Multipartite Pure States
Abstract
Necessary and sufficient conditions for the equivalence of arbitrary nqubit pure quantum states under local unitary (LU) operations are derived. First, an easily computable standard form for multipartite states is introduced. Two generic states are shown to be LU equivalent iff their standard forms coincide. The LUequivalence problem for nongeneric states is solved by presenting a systematic method to determine the LU operators (if they exist) which interconvert the two states.
 Publication:

Physical Review Letters
 Pub Date:
 January 2010
 DOI:
 10.1103/PhysRevLett.104.020504
 arXiv:
 arXiv:0909.5152
 Bibcode:
 2010PhRvL.104b0504K
 Keywords:

 03.67.a;
 03.65.Ud;
 Quantum information;
 Entanglement and quantum nonlocality;
 Quantum Physics
 EPrint:
 5 pages