Quantum-Adaptive KS($\phi$): A Parameterized Three-Qubit Gate Family Embedding Toffoli with Measurement-Free Phase Kickback and Intrinsic Error Non-Amplification

Kripa Sankaranarayanan, Marek Perkowski

We introduce Quantum-Adaptive KS($\phi$) ($K$ = kickback, $S$ = sandwich), a parameterized three-qubit gate family that structurally embeds the Toffoli (CCX) gate within two additiona…