A Likelihood Ratio Detector for QTMS Radar and Noise Radar

We derive a detector function for quantum two-mode squeezing (QTMS) radars and noise that is based on the use of likelihood ratio (LR) test distinguishing between presence absence target. In addition to an explicit expression LR detector, we which approximates in limit where target small, far away, or otherwise difficult detect. When number integrated samples large, theoretical receiver operating characteristic (ROC) curve radar when used. simulations understand ROC behavior detector. One interesting finding there exists parameter regime previously-studied outperforms contrary intuition tests are optimal. This because neither Neyman-Pearson lemma, nor Karlin-Rubin theorem generalizes hold this particular problem. However, remains good choice detection.