Article ID Journal Published Year Pages File Type
1899398 Reports on Mathematical Physics 2007 9 Pages PDF
Abstract

We investigate the differential geometry of bipartite quantum states. In particular, the manifold structures of pure bipartite states are studied in detail. The manifolds with respect to all normalized pure states of arbitrarily given Schmidt ranks or Schmidt coefficients are explicitly presented. The dimensions of the related manifolds are calculated.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics