The paper gives exact Toffoli-depth versus ancilla-count formulas for multi-controlled Toffoli decomposition and claims a ceil(log2 n) lower bound, but the main formula is inconsistent with its own example.
Scientific Reports, 13(1), 16338, 2023
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On Exact Space-Depth Trade-Offs in Multi-Controlled Toffoli Decomposition
The paper gives exact Toffoli-depth versus ancilla-count formulas for multi-controlled Toffoli decomposition and claims a ceil(log2 n) lower bound, but the main formula is inconsistent with its own example.