Quantification and scaling of multipartite entanglement in continuous variable systems

Abstract

We present a theoretical method to determine the multipartite entanglement between different partitions of multimode, fully or partially symmetric Gaussian states of continuous variable systems. For such states, we determine the exact expression of the logarithmic negativity and show that it coincides with that of equivalent two--mode Gaussian states. Exploiting this reduction, we demonstrate the scaling of the multipartite entanglement with the number of modes and its reliable experimental estimate by direct measurements of the global and local purities.

4 pages, 2 figures; to be published in Phys. Rev. Lett

Cited by in corpus (6)

• Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
• Quantifying decoherence in continuous variable systems
• Unitarily localizable entanglement of Gaussian states
• Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable Teleportation
• Entanglement, Purity, and Information Entropies in Continuous Variable Systems
• Entanglement sharing: from qubits to Gaussian states