Quantum Transfer Level Optimization Across Public Quantum Workloads

A Quantum Transfer Level (QTL) design and verification framework is applied to seven public quantum-computing workloads in a fully automated two-iteration pipeline. The first pass emits optimized parent contracts; the second consumes those emitted contracts directly as its new inputs. Optimization typically completes in minutes per benchmark on the development machine, excluding independent certification sweeps. First-pass results are retained: QPE gives 7 → 3 controlled phases; the HRS multiplier gives a 63.3% CNOT-equivalent proxy reduction at n = 64; exact-grid HHL becomes a two-qubit parent; generic degree-601 QSVT retains all 601 signal queries while a structured 2 × 2 instance becomes a two-qubit parent; Sycamore gives 3263 → 430 dressed parents; G81 becomes 40,000 exact 18-qubit edge evaluators; and the IBM/Nature Ising workload gives 5420 → 3178 → 1511 → 20 across distinct representation levels. In the second iteration, QPE, exact-grid HHL, and structured QSVT become one instruction only by definition of their declared parent interfaces, whereas generic QSVT remains at 601 queries. Sycamore requires 430/430 numerical syntheses: XI, Y I, IX, IY, (XX + Y Y )/2 close on su(4), so absorption of the 1113 one-qubit pulses gives 1543 → 430 control instructions with full-output DTV ≤ 1.92022 × 10^−11 under a redesigned interface, not existing Google firmware. G81 collapses 40,000 → 88 exact gauge/reflection classes; at declared p = 2 angles, the 88-class weighted objective 5713.216637468534 matches a direct 40,000-edge local evaluation within 4.82 × 10^−10. IBM gives 3178 → 1511 bounded parent-native patch instructions. No physical-hardware execution is reported.