Demonstrating Continuous Variable EPR Steering in spite of Finite Experimental Capabilities using Fano Steering Bounds
arXiv:1410.8853 · doi:10.1364/JOSAB.32.0000A8
Abstract
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.
arXiv comment7 pages, 2 figures
References in corpus (11)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Distillation of secret key and entanglement from quantum states
- The Uncertainty Principle in the Presence of Quantum Memory
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- EPR Steering Inequalities from Entropic Uncertainty Relations
- Conjectured Strong Complementary Information Tradeoff
- Large-Alphabet Time-Frequency Entangled Quantum Key Distribution by means of Time-to-Frequency Conversion
- Violation of Continuous Variable EPR Steering with Discrete Measurements
- Storage-ring measurement of the hyperfine-induced 2s 2p 3P0 -> 2s2 1S0 transition rate in beryllium-like sulfur
- The Relationship Between Discrete and Continuous Entropy in EPR-Steering Inequalities