Four debugging corrections

declared generator is not an established positron model. Exponentiating a specified finite Hamiltonian genuinely derives its channel. It does not establish that an actual positron source, magnetic environment, or detector implements that Hamiltonian. We construct a finite synthetic pilot and state the physical matching requirements separately.

magnetic spin observable is not a position observable. The qubits below encode graph positions. A direction vector in their Hamiltonian describes coefficients of an effective two-level generator. Its identification with a physical magnetic-field orientation is an additional obligation. No positronium spin or singlet measurement is silently added.

preparation cannot be implemented from an unknown number. The apparatus receives a source system. It does not prepare ${\rho }_{\theta }$ by consulting an unavailable exact value of $\theta$. A parameterized source family describes the supplier, not an expectation oracle.

nuisance can destroy point identification. The finite likelihood is injective in the source weight when the nuisance is fixed and known. It need not remain injective when the nuisance varies. The correct general output is a calibrated confidence set or a discrimination certificate under a positive separation margin.