21 May 2015 Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements
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Abstract
Here, we discuss the development of a new inequality in information theory; a Fano inequality suitable for continuous variables. With this inequality, we show how one can demonstrate Einstein-Podolsky-Rosen (EPR) steering in the position-momentum statistics of entangled photon pairs from spontaneous parametric down-conversion (SPDC). More importantly, we show how with sufficiently strong position and momentum correlations, we can demonstrate continuous-variable EPR steering without having to assume the photo-detectors have access to the entire joint intensity distribution. Moreover, we demonstrate this experimentally with the position and momentum statistics of entangled photon pairs in SPDC.
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James Schneeloch, James Schneeloch, Samuel H. Knarr, Samuel H. Knarr, Gregory A. Howland, Gregory A. Howland, John C. Howell, John C. Howell, } "Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements", Proc. SPIE 9500, Quantum Information and Computation XIII, 95000T (21 May 2015); doi: 10.1117/12.2177296; https://doi.org/10.1117/12.2177296
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