Topology of the threequbit space of entanglement types
Abstract
The threequbit space of entanglement types is the orbit space of the local unitary action on the space of threequbit pure states and, hence, describes the types of entanglement that a system of three qubits can achieve. We show that this orbit space is homeomorphic to a certain subspace of R^{6} , which we describe completely. We give a topologically based classification of threequbit entanglement types, and we argue that the nontrivial topology of the threequbit space of entanglement types forbids the existence of standard states with the convenient properties of twoqubit standard states.
 Publication:

Physical Review A
 Pub Date:
 November 2005
 DOI:
 10.1103/PhysRevA.72.052324
 arXiv:
 arXiv:quantph/0507208
 Bibcode:
 2005PhRvA..72e2324W
 Keywords:

 03.67.Mn;
 Entanglement production characterization and manipulation;
 Quantum Physics
 EPrint:
 9 pages, 3 figures, v2 adds a reference