Gaussian maximally multipartite-entangled states
Paolo Facchi, Giuseppe Florio, Cosmo Lupo, Stefano Mancini, Saverio Pascazio · Physical Review A · 2009
We study maximally multipartite-entangled states in the context of Gaussian continuous variable quantum systems. By considering multimode Gaussian states with constrained energy, we show that perfect maximally multipartite-entangled states, which exhibit the maximum amount of bipartite entanglement for all bipartitions, only exist for systems containing $n=2$ or 3 modes. We further numerically investigate the structure of these states and their frustration for $n\ensuremath{\le}7$.