Demonstrating continuous-variable Einstein-Podolsky-Rosen steering with a finite number of measurements

James Schneeloch*, Samuel H. Knarr, Gregory A. Howland, John C. Howell

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageAmerican English
Title of host publicationQuantum Information and Computation XIII
EditorsMichael Hayduk, Andrew R. Pirich, Eric Donkor
PublisherSPIE
ISBN (Electronic)9781628416169
DOIs
StatePublished - 2015
Externally publishedYes
EventQuantum Information and Computation XIII - Baltimore, United States
Duration: 22 Apr 201524 Apr 2015

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume9500
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceQuantum Information and Computation XIII
Country/TerritoryUnited States
CityBaltimore
Period22/04/1524/04/15

Bibliographical note

Publisher Copyright:
© 2015 SPIE.

Keywords

  • EPR steering
  • Fano inequality
  • entanglement
  • quantum information

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