Harvesting entropy and quantifying the transition from noise to chaos in a photon-counting feedback loop

Abstract

The unpredictability of physical systems can depend on the scale at which they are observed. For example, single photons incident on a detector arrive at random times, but slow intensity variations can be observed by counting many photons over large time windows. We describe an experiment in which we modulate a weak optical signal using feedback from a single-photon detector. We quantitatively demonstrate a transition from single-photon shot noise to deterministic chaos. Furthermore, we show that measurements of the entropy rate of a system with small-scale noise and large-scale deterministic fluctuations can resolve both behaviors. We describe how quantifying entropy production can be used to evaluate physical random number generators.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 14, 2015
Source ID
10.1073/pnas.1506600112

Entities

People

  • Aaron Morgan Hagerstrom
  • Rajarshi Roy
  • Thomas Edward Murphy

Organizations

  • Office of Naval Research
  • University of Maryland

Tags

Fields of Study

  • Physics

Readers

  • Image Processing and Computer Vision.
  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design