Quantum illumination with noisy probes: Conditional advantages of non-Gaussianity

TL;DR

This paper investigates the use of non-Gaussian photon-added and -subtracted states as probes in quantum illumination, analyzing their advantages over Gaussian states under realistic noisy conditions and imperfect apparatus.

Contribution

It introduces a hierarchy of non-Gaussian states' effectiveness in quantum illumination considering noise and apparatus imperfections, expanding understanding of quantum advantage.

Findings

Gaussian states still offer the best performance overall.

Hierarchy among non-Gaussian states depends on the comparison metric.

Quantum advantage persists even with noisy and imperfect conditions.

Abstract

Entangled states, like the two-mode squeezed vacuum state, are known to give quantum advantage in the illumination protocol, a method to detect a weakly reflecting target submerged in a thermal background. We use non-Gaussian photon-added and -subtracted states, affected by local Gaussian noise on top of the omnipresent thermal noise, as probes in the illumination protocol. Based on the difference between the Chernoff bounds obtained with the coherent state and the non-Gaussian state having equal signal strengths, whose positive values denote quantum advantage in illumination, we highlight the hierarchy among non-Gaussian states, which is compatible with correlations per unit signal strength, although the Gaussian states offer the best performance. Interestingly, such hierarchy is different when comparisons are made using the Chernoff bounds. The entire analysis is performed in the presence of different imperfect apparatus like faulty twin-beam generator, imperfect photon addition (subtraction) as well as with noisy non-Gaussian probe states.