Manifolds of interconvertible pure states
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
Local orbits of a pure state of an N x N bi-partite 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 -N-1 dimensions, the set of separable states is 4(N-1) dimensional, while the manifold of maximally entangled states has N^2-1 dimensions.
10 pages, 1 figure
10 pages, 1 figure