Telling quantum DoQs and quantum Qats apart

We classify regions of the Hilbert space, of quantum states of n qubits. There are 2 categories, Qat and DoQ. As an example, for n=1, one hemisphere of the Bloch sphere could be labelled Qat, the other hemisphere DoQ. The state vectors to classify are generated as the output of a sensor, which is then fed into a classifier circuit of M layers. Note that we are NOT classifying the classical params vector of the sensor, as we could use any other sensor with different parameterization as long as it's capable of producing Qat and DoQ states. Also, we take the sensor as is, we don't try to "optimize" it.