Gaussian maximally multipartite entangled states

Abstract

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<=7.

6 pages, 2 figures, comments are welcome

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Cited by in corpus (12)

• Multipartite Entanglement and Frustration
• Classical Statistical Mechanics Approach to Multipartite Entanglement
• A genuine maximally seven-qubit entangled state
• Gaussian local unitary equivalence of $n$-mode Gaussian states and Gaussian transformations by local operations with classical communication
• Invariant measures on multimode quantum Gaussian states
• Purification of Gaussian maximally mixed states
• Local Hamiltonians for Maximally Multipartite Entangled States
• A large-N approximated field theory for multipartite entanglement
• Correspondence between maximally entangled states in discrete and Gaussian regimes
• Entanglement frustration in multimode Gaussian states
• Absolutely maximally entangled pure states of multipartite quantum systems
• Multipartite entanglement and few-body Hamiltonians