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Quantum Foundations

Operational Quantification of Continuous Variable Correlations

arXiv

Authors: C. Rodó, Gerardo Adesso, A. Sanpera

Year

2007

Paper ID

49626

Status

Preprint

Abstract Read

~2 min

Abstract Words

110

Citations

N/A

Abstract

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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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.2811 [2] arXiv https://arxiv.org/abs/0707.2811 [3] Publisher https://arxiv.org/abs/0707.2811

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