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

Hao Chen
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Abstract

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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Hao Chen. 2001-08-12. Schmidt number of pure states in bipartite quantum systems as an algebraic-geometric invariant. https://arxiv.org/abs/quant-ph/0108034

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