Abstract
It is not clear if the performance of a quantum lidar or radar, without an idler and only using Gaussian resources, could exceed the performance of a semiclassical setup based on coherent states and homodyne detection. Here we prove this is indeed the case by showing that an idler-free squeezed-based setup can beat this semiclassical benchmark. More generally, we show that probes whose displacement and squeezing are jointly optimized can strictly outperform coherent states with the same mean number of input photons for both the problems of quantum illumination and reading.
Highlights
Quantum hypothesis testing [1,2,3,4] is one of the most important theoretical areas at the basis of quantum information science [5]
The significance of the result relies on the fact that the use of coherent states and homodyne detection might be considered to be the optimal Gaussian strategy for quantum illumination in the absence of idlers
In this work we have investigated the use of displaced-squeezed probes for problems of bosonic loss discrimination, i.e., quantum illumination and quantum reading
Summary
Gaetana Spedalieri and Stefano Pirandola Department of Computer Science, University of York, York YO10 5GH, United Kingdom (Received 10 August 2021; accepted 18 November 2021; published 10 December 2021) It is not clear if the performance of a quantum lidar or radar, without an idler and only using Gaussian resources, could exceed the performance of a semiclassical setup based on coherent states and homodyne detection. We prove this is the case by showing that an idler-free squeezed-based setup can beat this semiclassical benchmark. We show that probes whose displacement and squeezing are jointly optimized can strictly outperform coherent states with the same mean number of input photons for both the problems of quantum illumination and reading
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