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Physics Letters A

Super-resolving quantum LiDAR with even coherent states sources in the presence of loss and noise

Qiang Wang, Lili Hao, Hongxia Tang, Yong Zhang, Chenghua Yang, Xu Yang, Lu Xu, Yuan Zhe Zhao

Published Sep 2, 2016• 4 citations
Publisher
DOI
10.1016/j.physleta.2016.08.033

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We investigate the performance of the super-resolving quantum lidar with the entangled coherent states of light in the presence of loss and noise, especially in the noisy case. An exact analytical expression of the output signal has been derived with the binary-outcome photon counting measurements. Numerical results show that the resolution of our scheme with parity detection is √N (N) times enhanced relative to that of the coherent-state strategy with the same (intensity) detection in the lossless and noiseless cases. The influences of phase diffusion on resolution and sensitivity have been analyzed and discussed. It is found that the super-resolution emerges in the whole diffusion rate regions, whereas the super-sensitivity just exists in the high and low diffusion rate regimes. Comparisons are made with the well known N00N states, the results show that the entangled coherent states performs better resolution and sensitivity than those of the N00N scheme in the whole diffusion regimes. In addition, the effects of photon loss on resolution and sensitivity have also been studied. The phase sensitivity can beat the shot noise limit and the resolution is much better than the Rayleigh diffraction limit in the whole loss regions. Finally, the zero-nonzero photon counting measurement gives much worse sensitivity than that of the parity detection, which is just opposite from the case as demonstrated in a recent coherent-light Mach-Zehnder experiment.
There has been much recent interest in quantum metrology for applications to sub-Raleigh ranging and remote sensing such as in quantum radar. For quantum radar, atmospheric absorption and diffraction rapidly degrades any actively transmitted quantum states of light, such as N00N states, so that for this high-loss regime the optimal strategy is to transmit coherent states of light, which suffer no worse loss than the linear Beer's law for classical radar attenuation, and which provide sensitivity at the shot-noise limit in the returned power. We show that coherent radar radiation sources, coupled with a quantum homodyne detection scheme, provide both longitudinal and angular super-resolution much below the Rayleigh diffraction limit, with sensitivity at shot-noise in terms of the detected photon power. Our approach provides a template for the development of a complete super-resolving quantum radar system with currently available technology.
The description of quantum lidar in the presence of photon loss and phase noise is presented. Taylor series is directly exploited to expand the interference signal to separate the detected phase and the phase noise. The analytical expression of interference signal and its sensitivity are illustrated by binary outcome homodyne, parity photon counting, and zero-nonzero photon counting detection. Numerical calculation indicates that homodyne detection has the best sensitivity and resolution and should be considered as the optimal detection strategy for quantum lidar in the diffusion region of κ<10−2. However, parity detection should be the best detection scheme for resolution, and zero-nonzero detection represents the optimal detection for sensitivity in the rest region. Finally, zero-nonzero detection produces better sensitivity than parity detection.