New Invariants and Separability Criterion of the Mixed States: Bipartite Case

Abstract

We introduce algebraic sets in the complex linear space (or projective complex space) for the mixed states in bipartite quantum systems as their invariants under local operations. The algebraic set has to be the union of the linear subspaces if the mixed state is separable, and thus we give a new criterion of separability. Some examples of the entangled… (More)

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