Experimentally friendly bounds on non-Gaussian entanglement from second moments

Abstract

We demonstrate that the entanglement in a class of two-mode non-Gaussian states obtained by subtracting photons from Gaussian twin beams can be bounded from above and from below by functionals of the second moments only. Knowledge of the covariance matrix thus suffices for an entanglement quantification with appreciable precision. The absolute error in the entanglement estimation scales with the non-Gaussianity of the considered states.

5 pages, 2 figures. To appear in PRA

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• Schur complement inequalities for covariance matrices and monogamy of quantum correlations
• Quantifying entanglement in two-mode Gaussian states
• Strategies for enhancing quantum entanglement by local photon subtraction
• A Family of Continuous Variable Entanglement Criteria using General Entropy Functions
• Strong subadditivity for log-determinant of covariance matrices and its applications
• How much quantum noise of amplifiers is detrimental to entanglement
• Passing quantum correlations to qubits using any two-mode state
• Photonic families of non-Gaussian entangled states and entanglement criteria for continuous-variable systems
• A Computable Criterion for Partial Entanglement in Continuous Variable Quantum Systems
• Non-Gaussian Entangled States