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

2001/08/08 by Hao Chen, Chen, Hao
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0108034

8 pages, no figure, minor changes in v2

arxiv created 2001/08/12 · arxiv updated 2009/12/01

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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