Numerical evidence from projections and witnesses on specific Gaussian families leads to the conjecture that full inseparability implies genuine multipartite entanglement for all Gaussian states.
de Vicente, and Barbara Kraus,Identifying families of multipartite states with non-trivial local en- tanglement transformations,Quantum8, 1270 (2024), arXiv:2302.03139
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On the existence of fully inseparable biseparable Gaussian states
Numerical evidence from projections and witnesses on specific Gaussian families leads to the conjecture that full inseparability implies genuine multipartite entanglement for all Gaussian states.