Physics – Quantum Physics
Scientific paper
2001-10-12
Act. Phys. Pol. B 33,2081 (2002)
Physics
Quantum Physics
10 pages, 1 figure
Scientific paper
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.
Kus Marek
Sinolecka Magdalena M.
Zyczkowski Karol
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