Model specification: Rich tagged class

The datum belongs to the rich tagged class if:

1. every trial has the form (eq:pilot-W), with operationally identified parameters $r_e,p_e$;

2. $\Vert r_e{\Vert }_2=1$, and $\{r_e:e\in I\}$ is dense in $S^2$;

3. the channel tags satisfy

   $$|{p_e}^{-1}-{p_f}^{-1}|\ge \frac{1}{2}(e\ne f);$$

4. the largest tag $p_{\ast }={\max }_e{p}_e$ lies in $[1/2,2/3]$.

The Pauli frame and its first axis are laboratory calibration data, not physical spatial directions.