Gaussian maximally multipartite entangled states
Paolo Facchi, Giuseppe Florio, Cosmo Lupo, Stefano Mancini, Saverio, Pascazio
TL;DR
This paper investigates the existence and structure of maximally multipartite entangled Gaussian states in continuous variable quantum systems, revealing they only exist for systems with 2 or 3 modes and exploring their properties numerically for larger systems.
Contribution
It demonstrates the non-existence of perfect maximally multipartite entangled Gaussian states beyond three modes and analyzes their structure and frustration numerically for larger systems.
Findings
Perfect maximally multipartite entangled states exist only for n=2 or 3 modes.
Numerical analysis of states for n<=7 reveals their structure and frustration.
Maximal bipartite entanglement is constrained by the number of modes.
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.
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