Run ≤16 qubits, then create the explicit 125-amplitude feature map.
The lift samples and normalizes 125 amplitudes as features. It is not an isomorphism from a 2ⁿ-dimensional qubit Hilbert space to V₂⊗³. E47 analysis begins only after the typed lift.
125 · 47 · 78 · Ωc=47/125 · μ=18 · σ=12 · λ=6,30 · Δ=11664 · ||K||₂=432 · ε*=1/99144 · ρ*=15/17
This certificate validates the typed 125-state E47 layer. It does not convert the 256→125 feature lift into a Hilbert-space isomorphism or upgrade the simulator to a hardware claim.
The original χ=16 parity run remains the exact/untruncated reference. A deliberately constrained 8-qubit, 24-layer χ=4 run now forces nonzero Schmidt truncation: cumulative discarded weight 0.3551256001, MPS norm 0.8340360893, phase-aligned L2 vs dense 0.4390620590, fidelity 0.8117012640, observable max error 0.1917827381, Schmidt-spectrum max error 0.1691096042. CI runs the same stress path with Qiskit Aer required, so truncation error is measured rather than silently absent.
The highlighted λ=6 and λ=30 bands sum to the E47 transmission weight.