Physical usefulness of the reversible phase oracle on error-corrected hardware

Determine whether the validated reversible phase oracle for simulated delay-PUF response functions is useful on a future fault-tolerant, error-corrected quantum computer, accounting for logical-gate synthesis, error correction, connectivity, and runtime costs.

Background

The paper constructs and validates a reversible sign oracle for additive-delay and XOR arbiter PUF models and estimates its routed circuit costs on a simulated hardware snapshot. The signal-preserving precisions exceed the snapshot's median dephasing time, but this comparison does not determine feasibility on a future error-corrected machine.

The authors provide constructive Clifford+T resource estimates but explicitly note that a surface-code runtime would additionally depend on physical error rates, code distance, decoding, magic-state factories, connectivity, and cycle time. Consequently, whether the oracle can provide useful Fourier-audit capability in a fault-tolerant setting remains unresolved.