  We study the statistical performance and applicability of a simple quantum
state discrimination technique for the analysis of data from nuclear quadrupole
resonance experiments on a TNT sample. The target application is remote
detection of anti-personnel landmines.We show that, even for data that allows
the determination of only one time dependent component of the NQR subsystem,
the use of the Bayes optimal detector leads to greatly improved ROC curves with
respect to the popular demodulation technique, especially for spin echo signals
with a low signal to noise ratio. The method can easily be extended to
incorporate results from other sensing modalities and the incorporation of
informationally complete measurements that estimate the full density matrix of
the NQR subsystem.
