Round 2 verification audit for C004

Model: gpt-5

Claim: Drive (B) repumps population from |e> to the qubit states with branching ratios parameterized by p_{e->down}/p_{e->up} = tan^2(gamma).

Source alignment: source/main.tex:106-107 (Dissipation scheme)

Prior official verdict: verified with failure_reason None.

Executable evidence: sympy_check.py. Sandbox rerun logs: sympy_check.log.

Independent audit: I scanned the copied script for imports/shared helper dependencies and reran it through the sandbox. The code is self-contained in this attempt directory and targets the claim strategy: Confirm the stated parameterization maps gamma in [0,pi/2] onto the full range of branching ratios consistent with the Kraus operators defined in Supp. Mat. S1.. I checked the relevant family model rather than relying only on exit status; the rerun is treated as one reproducibility input.

Decision: Round 2 verdict is verified with failure_reason None and limitations []. Notes: p_e->down=sin^2(gamma), p_e->up=cos^2(gamma). Symbolic p_down/p_up - tan^2(gamma)=0 and p_down+p_up=1 (sympy). Numeric over gamma in [0,pi/2): ratio=tan^2(gamma), sweeps full range [0,inf); Kraus completeness sum E^dag E=I. -> verified.