6533b82bfe1ef96bd128d7e3

RESEARCH PRODUCT

Monogamy Inequality for Distributed Gaussian Entanglement

Fabrizio IlluminatiGerardo AdessoTohya Hiroshima

subject

CONTINUOUS VARIABLE SYSTEMSGaussianFOS: Physical sciencesGeneral Physics and AstronomyQuantum entanglementSquashed entanglementTanglesymbols.namesakeLattice (order)Quantum mechanicsStatistical physicsQuantumCondensed Matter - Statistical MechanicsMathematical PhysicsMathematicsQuantum PhysicsLOCCStatistical Mechanics (cond-mat.stat-mech)Mathematical Physics (math-ph)QUBITSMonotone polygonSTATESCRITERIONsymbolsQuantum Physics (quant-ph)Optics (physics.optics)Physics - Optics

description

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.

https://doi.org/10.1103/physrevlett.98.050503