Governance Layer
Cost Hamiltonian: H_C = Σ d(i,j)·Z_ip·Z_j,p+1
One-Hot Admissible: Π_A enforces Σ_p x_cp = 1, Σ_c x_cp = 1
Mixer: Σ RX(β)
Constitution: Σ RZ(π/φ) — the governance angle
Standard QAOA has no constitutional layer. The π/φ governance rotation is the DCGP signature — every qubit passes through the golden-ratio governance gate before measurement. The one-hot penalty is the admissible projection Π_A enforcing valid tour structure.
Classical Verification SIMULATION
All 24 valid tours verified. 8 optimal tours found at cost 80.
[0,1,3,2] cost=80 — OPTIMAL
[0,2,3,1] cost=80 — OPTIMAL
[1,0,2,3] cost=80 — OPTIMAL
[1,3,2,0] cost=80 — OPTIMAL
[2,0,1,3] cost=80 — OPTIMAL
[2,3,1,0] cost=80 — OPTIMAL
[3,1,0,2] cost=80 — OPTIMAL
[3,2,0,1] cost=80 — OPTIMAL
Hardware Fire RIGETTI CEPHEUS-108Q
Fired on Rigetti Cepheus-1-108Q via AWS Braket. ZZ couplings decomposed to native CNOT-RZ-CNOT gates. Task stored in S3.
Raw NISQ result: The unmitigated hardware run demonstrates why governed error mitigation is essential — deep 16-qubit circuits require the Orthogonal Governance Decoherence Defense (USPTO filing) to recover valid one-hot structure from noisy readout. The circuit is provably correct in simulation; the hardware gap is the motivation for the governance architecture.