Schmidt number of pure states in bipartite quantum systems as an algebraic-geometric invariant

Physics – Quantum Physics

Scientific paper

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8 pages, no figure, minor changes in v2

Scientific paper

Our previous work about algebraic-geometric invariants of the mixed states
are extended and a stronger separability criterion is given. We also show that
the Schmidt number of pure states in bipartite quantum systems, a classical
concept, is actually an algebraic-geometric invariant.

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