Multi-controlled single-qudit gates can be synthesized with O(n²) CINC gates (O(n) for special unitaries), enabling improved qudit isometry and channel circuits and, for prime d, equivalent SUM-gate circuits.
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Efficient High-Dimensional Quantum Circuit Synthesis: From Multi-Controlled Gates to Isometries and Quantum Channels
Multi-controlled single-qudit gates can be synthesized with O(n²) CINC gates (O(n) for special unitaries), enabling improved qudit isometry and channel circuits and, for prime d, equivalent SUM-gate circuits.