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Quantum illumination for enhanced detection of Rayleigh-fading targets

Author(s)
Zhuang, Quntao; Zhang, Zheshen; Shapiro, Jeffrey H
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Abstract
Quantum illumination (QI) is an entanglement-enhanced sensing system whose performance advantage over a comparable classical system survives its usage in an entanglement-breaking scenario plagued by loss and noise. In particular, QI's error-probability exponent for discriminating between equally likely hypotheses of target absence or presence is 6 dB higher than that of the optimum classical system using the same transmitted power. This performance advantage, however, presumes that the target return, when present, has known amplitude and phase, a situation that seldom occurs in light detection and ranging (lidar) applications. At lidar wavelengths, most target surfaces are sufficiently rough that their returns are speckled, i.e., they have Rayleigh-distributed amplitudes and uniformly distributed phases. QI's optical parametric amplifier receiver—which affords a 3 dB better-than-classical error-probability exponent for a return with known amplitude and phase—fails to offer any performance gain for Rayleigh-fading targets. We show that the sum-frequency generation receiver [Zhuang et al., Phys. Rev. Lett. 118, 040801 (2017)]—whose error-probability exponent for a nonfading target achieves QI's full 6 dB advantage over optimum classical operation—outperforms the classical system for Rayleigh-fading targets. In this case, QI's advantage is subexponential: its error probability is lower than the classical system's by a factor of 1/ln(M[ bar over κ]N[subscript S]/N[subscript B]), when M[bar over κ]N[subscript S]/N[subscript B]≫1, with M≫1 being the QI transmitter's time-bandwidth product, N[subscript S]≪1 its brightness, [bar over κ] the target return's average intensity, and N[subscript B] the background light's brightness.
Date issued
2017-08
URI
http://hdl.handle.net/1721.1/113864
Department
Massachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. Research Laboratory of Electronics
Journal
Physical Review A
Publisher
American Physical Society
Citation
Zhuang, Quntao, et al. “Quantum Illumination for Enhanced Detection of Rayleigh-Fading Targets.” Physical Review A, vol. 96, no. 2, Aug. 2017. © 2017 American Physical Society
Version: Final published version
ISSN
2469-9926
2469-9934

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