  Josephson parametric amplifier (JPA) engineering is a significant component
in the quantum two-mode squeezed radar (QTMS), to enhance, for instance, radar
performance and the detection range or bandwidth. In this study, we apply
quantum theory to a research domain focusing the design of QTMS radar. We apply
engineered JPA (EJPA) to enhance the performance of a quantum radar (QR). We
investigate the correlation between the signal and idler using and we propose
strategies for maintaining entanglement at room temperature. We define the
quantum signal-to-noise ratio (SNR) and detection range equations of the QTMS
radar. The engineering JPA, leads to a remarkable improvement of the quantum
radar performance, i.e. a large enhancement in quantum SNR of about 6 dB, a
substantial improvement in the probability of detection through far fewer
channels, and a huge increase in QTMS radar range, from half a meter in the
conventional JPA to 482 m in the current study.
