Abstract
With the aim to loosen the entanglement requirements of quantum illumination, we study the performance of a family of Gaussian states at the transmitter, combined with an optimal and joint quantum measurement at the receiver. We find that maximal entanglement is not strictly necessary to achieve quantum advantage over the classical benchmark of a coherent-state transmitter, in both settings of symmetric and asymmetric hypothesis testing. While performing this quantum-classical comparison, we also investigate a suitable regime of parameters for potential short-range radar (or scanner) applications.
Highlights
Hypothesis testing (HT) [1] and quantum hypothesis testing (QHT) [2] play crucial roles in information [3] and quantum information theory [4]
III, we study the performance of a relaxed quantum illumination (QI) protocol, clarifying how much entanglement is needed to beat the semiclassical benchmark of the coherent-state transmitter under symmetric testing
We have investigated how to loosen the transmitter requirements of QI, from the usual maximally entangled two-mode squeezed vacuum (TMSV) source to a more general quantum-correlated Gaussian source, which may become just separable
Summary
Hypothesis testing (HT) [1] and quantum hypothesis testing (QHT) [2] play crucial roles in information [3] and quantum information theory [4]. The ability to do this accurately, with a low probability of error, directly relates to an ability to determine the correct result This fundamental mechanism can be augmented with geometrical ranging arguments which account for the quantification of the round-trip time from the target, i.e., its distance. While QI radars may potentially achieve the best performances [10], they require the generation of a large number of entangled states which may be a demanding task, especially if we consider the microwave regime. QI to any model that exploits a quantum part or device to beat the performance of a corresponding classical radar in the same conditions of energy, range, etc Driven by these ideas, we progressively relax the entanglement requirements of QI, and we study the corresponding detection performances to the point where the source becomes just-separable, i.e., a maximally correlated separable state. In particular we show how a quantum advantage can still be achieved with less entangled sources, especially in a scenario of very short-range target detection
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