Geometry and topology of CC and CQ states
classification
🧮 math-ph
math.MPquant-ph
keywords
statessidebipartitecharacteristicscharacterizeddistinguishedeuler-poincarexistence
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We show that multipartite mixed bipartite CC and CQ states are geometrically and topologically distinguished in the space of states. They are characterized by non-vanishing Euler-Poincar\'{e} characteristics on the topological side and by the existence of symplectic structure on the geometric side.
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