Determination of continuous variable entanglement by purity measurements

Abstract

We classify the entanglement of two--mode Gaussian states according to their degree of total and partial mixedness. We derive exact bounds that determine maximally and minimally entangled states for fixed global and marginal purities. This characterization allows for an experimentally reliable estimate of continuous variable entanglement based on measurements of purity.

4 pages, 3 EPS figures. Final version

References in corpus (12)

• A computable measure of entanglement
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• On the volume of the set of mixed entangled states
• Detecting genuine multipartite continuous-variable entanglement
• Direct estimations of linear and non-linear functionals of a quantum state
• Universal Quantum Estimator
• Entanglement of formation for symmetric Gaussian states
• Symplectic invariants, entropic measures and correlations of Gaussian states
• A device for feasible fidelity, purity, Hilbert-Schmidt distance and entanglement witness measurements
• Experimentally realizable characterizations of continuous variable Gaussian states
• Characterizing entanglement with global and marginal entropic measures

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