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.
Proving genuine multiparticle entanglement from separable nearest-neighbor marginals
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abstract
We address the question of whether or not global entanglement of a quantum state can be inferred from local properties. Specifically, we are interested in genuinely multiparticle entangled states whose two-body marginals are all separable, but where the entanglement can be proven using knowledge of a subset of the marginals only. Using an iteration of semidefinite programs we prove that for any possible marginal configuration up to six particles multiqubit states with the desired properties can be found. We then present a method to construct states with the same properties for more particles in higher dimensions.
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quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.