Operational Quantification of Continuous Variable Correlations

Details Operational Quantification of Continuous Variable Correlations Operational Quantification of Continuous Variable Correlations

2007-07-19

arxiv.org/abs/0707.2811v2

Phys. Rev. Lett. 100, 110505 (2008)

Physics

Quantum Physics

4 pages, 3 figures, improved presentation, a subfigure and some explicit analytical expressions added

Scientific paper

10.1103/PhysRevLett.100.110505

We quantify correlations (quantum and/or classical) between two continuous variable modes in terms of how many correlated bits can be extracted by measuring the sign of two local quadratures. On Gaussian states, such `bit quadrature correlations' majorize entanglement, reducing to an entanglement monotone for pure states. For non-Gaussian states, such as photonic Bell states, ideal and real de-Gaussified photon-subtracted states, and mixtures of pure Gaussian states, the bit correlations are shown to be a {\em monotonic} function of the negativity. This yields a feasible, operational way to quantitatively measure non-Gaussian entanglement in current experiments by means of direct homodyne detection, without a full tomographical reconstruction of the Wigner function.

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