Electric field correlations in quantum radar and the quantum advantage

Rory A. Bowell, Matthew J. Brandsema, Bilal M. Ahmed, Ram M. Narayanan, Stephen W. Howell, Jonathan M. Dilger

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations


In this paper, we derive the electric field covariance matrix of the signal and idler beams from an entangled source for applications involving quantum radar. We also derive the corresponding covariance matrix for a classical matched filtering remote sensing system and compare to the quantum result. We use this comparison to derive an expression for the quantum enhancement factor as a function of the mean photon number per mode, NsThis result is significant because it allows one to exactly calculate the predicted quantum enhancement as a function of transmit power, rather than only having an upper bound. Additionally, we look into previous analog correlation techniques using an optical parametric amplifier (OPA) and show that immediately detecting the idler produces the same cross correlation terms. However, the actual measurements needed to harness these correlations is enhanced when one immediately detects the idler because it minimizes the added noise caused by the additional length of the idler path in the conventional method. Finally, our results also show that one does not need to count photons to harness these correlations, but rather, perform electric field measurements.

Original languageEnglish (US)
Title of host publicationRadar Sensor Technology XXIV
EditorsKenneth I. Ranney, Ann M. Raynal
ISBN (Electronic)9781510635937
StatePublished - 2020
EventRadar Sensor Technology XXIV 2020 - None, United States
Duration: Apr 27 2020May 8 2020

Publication series

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


ConferenceRadar Sensor Technology XXIV 2020
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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