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Fundamental limits of quantum illumination

Version 2 2020-07-01, 23:39
Version 1 2020-07-01, 23:38
Posted on 2020-07-01 - 23:39
In Quantum Illumination (QI), a signal beam initially entangled with an idler beam held at the receiver interrogates a target region bathed in thermal background light, and the returned beam is jointly measured with the idler in order to determine whether a weakly reflecting target is present. Using tools from quantum information theory, we derive lower bounds on the error probability of detecting both specular and fading targets and on the mean squared error of estimating the reflectance of a detected target, which are obeyed by any QI system satisfying a signal energy constraint. For bright thermal backgrounds, we show that the QI system using multiple copies of low-brightness two-mode squeezed vacuum states is nearly optimal. More generally, our results provide benchmarks for the best possible performance that can be expected from QI systems at all wavelengths, and at all signal and background levels. In Quantum Illumination (QI), a signal beam initially entangled with an idler beam held at the receiver interrogates a target region bathed in thermal background light, and the returned beam is jointly measured with the idler in order to determine whether a weakly reflecting target is present. Using tools from quantum information theory, we derive lower bounds on the error probability of detecting both specular and fading targets and on the mean squared error of estimating the reflectance of a detected target, which are obeyed by any QI transmitter satisfying a signal energy constraint. For bright thermal backgrounds, we show that the QI system using multiple copies of low-brightness two-mode squeezed vacuum states is nearly optimal. More generally, our results provide benchmarks for the best possible performance that can be expected from QI systems at all wavelengths, and at all signal and background noise levels.

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AUTHORS (2)

Ranjith Nair
Mile Gu

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