Effect of squeezing operations in two-mode Gaussian quantum illumination
MuSeong Kim, Mi-Ra Hwang, Eylee Jung, DaeKil Park · arXiv (Cornell University) · 2021
Effect of the squeezing operations is examined in two-mode Gaussian quantum illumination. First, we consider two single-mode squeezing operation, whose squeezing parameters are $r_1$ and $r_2$ respectively. The final quantum Bhattacharyya (QB) bound between $\rho_0$ (state for target absence) and $\rho_1$ (state for target presence) is shown to be independent of $r_2$. Compared to the classical coherent quantum illumination, we achieve the quantum advantage by $(6 + 10 \log_{10} (2 n_1 + 1))$ dB, where $n_1 = \sinh^2 r_1$. Second, we examine the effect of the two-mode squeezing operation, whose squeezing parameter is $r$. If $r eq 0$, the dominant term of the exponential factor in the resulting QB bound is independent of $N_S$, where $N_S$ is the average photon number per signal mode. Since $N_S \ll 1$ is assumed, the tremendously huge quantum advantage can be achieved by controlling $r$.