6533b7defe1ef96bd1276702
RESEARCH PRODUCT
Strong monogamy of bipartite and genuine multipartite entanglement: The Gaussian case
Fabrizio IlluminatiFabrizio IlluminatiGerardo Adessosubject
High Energy Physics - TheoryINFORMATIONGaussianGeneral Physics and AstronomyFOS: Physical sciencesQuantum entanglementSquashed entanglementTeleportationMultipartite entanglementMeasure (mathematics)symbols.namesakeQuantum mechanicsCondensed Matter - Statistical MechanicsMathematical PhysicsMathematicsDiscrete mathematicsQuantum PhysicsStatistical Mechanics (cond-mat.stat-mech)Mathematical Physics (math-ph)Quantum PhysicsHigh Energy Physics - Theory (hep-th)symbolsBipartite graphCONTINUOUS-VARIABLE SYSTEMSW stateQuantum Physics (quant-ph)description
We demonstrate the existence of general constraints on distributed quantum correlations, which impose a trade-off on bipartite and multipartite entanglement at once. For all N-mode Gaussian states under permutation invariance, we establish exactly a monogamy inequality, stronger than the traditional one, that by recursion defines a proper measure of genuine N-partite entanglement. Strong monogamy holds as well for subsystems of arbitrary size, and the emerging multipartite entanglement measure is found to be scale invariant. We unveil its operational connection with the optimal fidelity of continuous variable teleportation networks.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-03-30 |