Characterization and quantification of symmetric Gaussian state entanglement through a local classicality criterion

Abstract

A necessary and sufficient condition for characterization and quantification of entanglement of any bipartite Gaussian state belonging to a special symmetry class is given in terms of classicality measures of one-party states. For Gaussian states whose local covariance matrices have equal determinants it is shown that separability of a two-party state and classicality of one party state are completely equivalent to each other under a nonlocal operation, allowing entanglement features to be understood in terms of any available classicality measure.

5 pages, 1 figure. Replaced with final published version

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• Temperature estimation of an entangled pair of trapped ions
• Gaussian entanglement of symmetric two-mode Gaussian states
• Optimal purifications and fidelity for displaced thermal states
• Capacitive Coupling of Two Transmission Line Resonators Mediated by the Phonon Number of a Nanoelectromechanical Oscillator
• Non-Gaussian two-mode squeezing and continuous variable entanglement of linearly and circularly polarized light beams interacting with cold atoms
• Quantification of Continuous Variable Entanglement with only Two Types of Simple Measurements
• Entanglement versus mixedness for coupled qubits under a phase damping channel
• Minkowski structure for purity and entanglement of Gaussian bipartite states
• Physical properties of the Schur complement of local covariance matrices
• Tripartite State Characterization via Activated Bipartite Entanglement