Not even 6 dB: Gaussian quantum illumination in thermal background

• URL: http://arxiv.org/abs/2309.10071v2
• Date: Fri, 19 Jan 2024 22:40:40 GMT
• Title: Not even 6 dB: Gaussian quantum illumination in thermal background
• Authors: T. J. Volkoff
• Abstract summary: In a bright thermal background a target can be detected by its optical shadow or some other perturbation of the background. A weak single-mode squeezed transmitter performs worse than no illumination'', which is explained by the noise-increasing property of reflected low-intensity squeezed light.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In analyses of target detection with Gaussian state transmitters in a thermal background, the thermal occupation is taken to depend on the target reflectivity in a way which simplifies the analysis of the symmetric quantum hypothesis testing problem. However, this assumption precludes comparison of target detection performance between an arbitrary transmitter and a vacuum state transmitter, i.e., ``detection without illumination'', which is relevant in a bright thermal background because a target can be detected by its optical shadow or some other perturbation of the background. Using a target-agnostic thermal environment leads to the result that the oft-claimed 6 dB possible reduction in the quantum Chernoff exponent for a two-mode squeezed vacuum transmitter over a coherent state transmitter in high-occupation thermal background is an unachievable limiting value, only occurring in a limit in which the target detection problem is ill-posed. Further analyzing quantum illumination in a target-agnostic thermal environment shows that a weak single-mode squeezed transmitter performs worse than ``no illumination'', which is explained by the noise-increasing property of reflected low-intensity squeezed light.

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