Differential Geometry of Bipartite Quantum States

Details Differential Geometry of Bipartite Quantum States Differential Geometry of Bipartite Quantum States

2007-11-08

arxiv.org/abs/0711.1211v1

Rep. Math. Phys. 60(2007)125-133

Physics

Quantum Physics

10 pages

Scientific paper

10.1016/S0034-4877(07)80104-2

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.

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