Manifolds of interconvertible pure states
Abstract
Local orbits of a pure state of an N x N bipartite quantum system are analyzed. We compute their dimensions which depends on the degeneracy of the vector of coefficients arising by the Schmidt decomposition. In particular, the generic orbit has 2N^2 N1 dimensions, the set of separable states is 4(N1) dimensional, while the manifold of maximally entangled states has N^21 dimensions.
 Publication:

arXiv eprints
 Pub Date:
 October 2001
 arXiv:
 arXiv:quantph/0110082
 Bibcode:
 2001quant.ph.10082S
 Keywords:

 Quantum Physics
 EPrint:
 10 pages, 1 figure