We study the statistical performance and applicability of a simple quantumstate discrimination technique for the analysis of data from nuclear quadrupoleresonance experiments on a TNT sample. The target application is remotedetection of anti-personnel landmines.We show that, even for data that allowsthe determination of only one time dependent component of the NQR subsystem,the use of the Bayes optimal detector leads to greatly improved ROC curves withrespect to the popular demodulation technique, especially for spin echo signalswith a low signal to noise ratio. The method can easily be extended toincorporate results from other sensing modalities and the incorporation ofinformationally complete measurements that estimate the full density matrix ofthe NQR subsystem.
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