title: Monogamy inequality for distributed gaussian entanglement.
abstract: We show that for all n-mode Gaussian states of continuous variable systems, the entanglement shared among n parties exhibits the fundamental monogamy property. The monogamy inequality is proven by introducing the Gaussian tangle, an entanglement monotone under Gaussian local operations and classical communication, which is defined in terms of the squared negativity in complete analogy with the case of n-qubit systems. Our results elucidate the structure of quantum correlations in many-body harmonic lattice systems.
authors.affiliation: Quantum Computation and Information Project, ERATO-SORST, Japan Science and Technology Agency, Daini Hongo White Building 201, Hongo 5-28-3, Bunkyo-ku, Tokyo 113-0033, Japan.
authors.forename: Tohya
authors.initials: T
authors.lastname: Hiroshima
authors.forename: Gerardo
authors.initials: G
authors.lastname: Adesso
authors.forename: Fabrizio
authors.initials: F
authors.lastname: Illuminati