Multipartite Entanglement and its Polygamy in Continuous Variable Systems
Gerardo Adesso, Fabrizio Illuminati · CERN Document Server (European Organization for Nuclear Research) · 2004
We introduce an infinite-dimensional generalization of the tangle that quantifies the distributed entanglement of multimode Gaussian states. We show that the genuine $1 \\times 1 \\times ... \\times 1$ multiparty entanglement between an arbitrary number of modes exhibits a simple iterative structure in terms of bipartite $1 \\times N$ entanglements between different partitions of the modes. We demonstrate that the conjectured monogamy of entanglement fails in continuous variable systems, even in the simplest three-mode instance.