Quantum Illumination with three-mode Gaussian State

TL;DR

This paper demonstrates that using a three-mode Gaussian state in quantum illumination reduces error probability compared to two-mode states, especially at low photon numbers, enhancing target detection sensitivity.

Contribution

It introduces a three-mode Gaussian state approach for quantum illumination, showing improved error bounds over traditional two-mode methods at low photon levels.

Findings

Quantum Bhattacharyya bound is lower with three-mode states for N_S < 0.295.

Three-mode Gaussian states outperform two-mode states in quantum illumination.

Enhanced target detection accuracy at low photon numbers.

Abstract

The quantum illumination is examined by making use of the three-mode maximally entangled Gaussian state, which involves one signal and two idler beams. It is shown that the quantum Bhattacharyya bound between $\rho$ (state for target absence) and $\sigma$ (state for target presence) is less than the previous result derived by two-mode Gaussian state when $N_S$, average photon number per signal, is less than $0.295$. This indicates that the quantum illumination with three-mode Gaussian state gives less error probability compared to that with two-mode Gaussian state when $N_S < 0.295$.