Demonstrating Continuous Variable EPR Steering in spite of Finite Experimental Capabilities using Fano Steering Bounds

• Main Authors: Schneeloch, James, Knarr, Samuel H, Howland, Gregory A, Howell, John C
• Format: Journal Article
• Language: English
• Published: 09-02-2015
• Subjects: Computer Science - Information Theory; Mathematics - Information Theory; Physics - Quantum Physics
• DOI: 10.48550/arxiv.1410.8853

J. Opt. Soc. Am. B. Vol. 32, No. 4, April 2015 We show how one can demonstrate continuous-variable Einstein-Podolsky-Rosen
(EPR) steering without needing to characterize entire measurement probability
distributions. To do this, we develop a modified Fano inequality useful for
discrete measurements of continuous variables, and use it to bound the
conditional uncertainties in continuous-variable entropic EPR-steering
inequalities. With these bounds, we show how one can hedge against experimental
limitations including a finite detector size, dead space between pixels, and
any such factors that impose an incomplete sampling of the true measurement
probability distribution. Furthermore, we use experimental data from the
position and momentum statistics of entangled photon pairs in parametric
downconversion to show that this method is sufficiently sensitive for practical
use.