A Lie-group version of iLQR synthesizes multi-qubit gates with machine-precision infidelity in one iteration when all Hamiltonian terms are available, and converges faster early under 2-local constraints.
(1) for the optimization of the four-qubit parity X gate, which does not achieve machine-precision infidelities
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Iterative linear quadratic regulator on SU(N) for multi-qubit gate synthesis
A Lie-group version of iLQR synthesizes multi-qubit gates with machine-precision infidelity in one iteration when all Hamiltonian terms are available, and converges faster early under 2-local constraints.