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Simulation study: do learned-angle Strang-skeleton circuits for Ising propagators still beat Strang/Suzuki product formulas once rotations are costed in synthesised T gates? 4-8 qubits, angle and Pauli noise sweeps, ablation, 3-5 seeds, PyTorch.
Exact and fault-tolerant compilation of Hopf differential frames: CNOT, T-count, depth and workspace bounds, with quantum backpropagation guarantees and reproducible checks.