Quantum illumination with three-mode Gaussian state

Eylee Jung, DaeKil Park · Quantum Information Processing · 2022

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 $$\rho $$ ρ (state for target absence) and $$\sigma $$ σ (state for target presence) is less than the previous result derived by two-mode Gaussian state when $$N_S$$ 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 $$N_S < 0.295$$ N S < 0.295 .

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