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

doi:10.1117/12.2562749

23 April 2020 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

Proceedings Volume 11408, Radar Sensor Technology XXIV; 114080S (2020) https://doi.org/10.1117/12.2562749
Event: SPIE Defense + Commercial Sensing, 2020, Online Only

Abstract

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, N_s. This 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.

Conference Presentation

Citation Download Citation

Rory A. Bowell, Matthew J. Brandsema, Bilal M. Ahmed, Ram M. Narayanan, Stephen W. Howell, and Jonathan M. Dilger "Electric field correlations in quantum radar and the quantum advantage", Proc. SPIE 11408, Radar Sensor Technology XXIV, 114080S (23 April 2020); https://doi.org/10.1117/12.2562749

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