  In this study, we explore an approach aimed at enhancing the transmission or
reflection coefficients of absorbing materials through the utilization of joint
measurements of entangled photon states. On the one hand, through the
implementation of photon catalysis in the reflected channel, we can effectively
modify the state of the transmission channel, leading to a notable improvement
in the transmission ratio. Similarly, this approach holds potential for
significantly amplifying the reflection ratio of absorbing materials, which is
useful for detecting cooperative targets. On the other hand, employing
statistical counting methods based on the technique of heralding on zero
photons, we evaluate the influence of our reflection enhancement protocol for
detecting noncooperative targets, which is validated through Monte Carlo
simulations of a quantum radar setup affected by Gaussian white noise. Our
results demonstrate a remarkable enhancement in the signal-to-noise ratio of
imaging, albeit with an increase in mean-square error. These findings highlight
the potential practical applications of our approach in the implementation of
quantum radar.
