Interpretation of the archive

Occupation-label blocks are used only inside the explicitly occupation-measuring decoders. The simulator itself adds amplitudes whenever final physical basis states coincide. The unrestricted SDP receives the coherent channel before occupation pinching.

Resource logs for destructive discards can quotient outcomes that have identical occupancy; the channel computation still includes the full trace over all discarded outcomes. For A–C, the supplement constructs explicit Kraus maps and checks their completeness on every occupied-rail input space.

The multiparticle regression uses $K=3,c=2$, vacuum, one- and two-constituent probabilities, entangling internal Clifford gates, and partial transmission. The scattering-domain regression separately includes every loss-closed input, with constituent energies $1,2,3,5$.

A passing finite archive would not prove the universal analytical memory lower bounds, interval-certified SDP feasibility, a physical spectral model, or an ensemble scaling law.