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arxiv: 0812.0405 · v1 · submitted 2008-12-02 · 🪐 quant-ph

Bipartite states of low rank are almost surely entangled

classification 🪐 quant-ph
keywords almostbipartiteentangledranksurelyalgebrasdensitygreater
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We show that a bipartite state on a tensor product of two matrix algebras is almost surely entangled if its rank is not greater than that of one of its reduced density matrices.

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