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Full Inseparability and Genuine Multipartite Entanglement Coincide for Finite-Mode Gaussian States
For general mixed states, entanglement across every bipartition need not imply genuine multipartite entanglement (GME), because a biseparable decomposition may switch the separable cut from term to term. We prove that this convex ambiguity disappears for Gaussian states of finitely many bosonic mode
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