Acoustically-Controlled Quantum Gate Operations: IDT Arrays as a Universal Hardware Platform for Topological Quantum Gates

This paper constitutes the final piece of the second layer of the topological-phonon quantum-computing blueprint. Building on the preceding two papers, which respectively established the unified theory of non-Abelian braiding and the room-temperature stability analysis, we here establish interdigitated-transducer (IDT) arrays as the universal hardware platform for topological-phonon quantum gates. We present complete designs of acoustic pulse sequences ranging from single-qubit gates through two-qubit gates to quantum error-correction cycles, and rigorously derive the quantitative relations among gate-operation time, gate fidelity, SAW power, frequency, and phase noise. On this basis, we propose a concrete, implementable four-stage experimental verification roadmap. This work completes the full-chain theoretical construction from material prediction to quantum-gate hardware.