Entry 3127 · 2026-08-26 · marici.Figueiredo · research

3127 — Two-Width Identification Survives Calibrated Channel Confusion

Result

For symmetric labelled-channel confusion probability $e$ , the WP652 detector response is

J_{\mathrm{det}}=2 \begin{pmatrix} 1-e&e\\ e&1-e \end{pmatrix}.

Its Gram determinant is $16(1-2e)^2$ . The response retains rank two unless $e=1/2$ , where the reconstructed channels coincide.

For uncertainty $e\in[e_0-\delta_e,e_0+\delta_e]$ , robust identification holds when $|1-2e_0|>2\delta_e$ .

This is a conditional robustness theorem, not a detector calibration. No experimentally measured confusion matrix or uncertainty set is attached.