Round 2 verification audit for C056

Model: gpt-5

Claim: With qubit-frequency error epsilon_q and motional-frequency error epsilon_m, drive (A) has H_A = (eta hbar Omega/2) S_{e,phi} (a e^{i(delta+epsilon_m+epsilon_q)t} e^{i phi_m} + a^dag e^{-i(delta+epsilon_m-epsilon_q)t} e^{-i phi_m}), reducing to the main-text H_A for phi_s=phi_m=0, epsilon_m=epsilon_q=0.

Source alignment: source/supp_content.tex:90-99 (Eq. (S6))

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 generalized MS Hamiltonian reduces to the main-text H_A in the stated limit and that epsilon_q,epsilon_m enter the sideband phases as written.. 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: Symbolic check: at phi_s=0 S_{e,phi}=sigma_x; at eps_m=eps_q=phi_m=0 the sideband exponents reduce to +/- i delta t, matching main-text H_A; prefactor etahbarOmega/2 identical to 1/2 hbar eta Omega. eps_m shifts both sidebands equally (d/d eps_m=+1,+1; common motional offset), eps_q oppositely (+1,-1; qubit offset splits sidebands), exactly as written. All 6 symbolic checks pass.