Peaked-Circuit Sampling on Superconducting Quantum Processor

Peaked circuits are quantum circuits engineered to concentrate probability weight on a single bitstring, offering a practical path to verifiable quantum advantage because experimental quantum sampling distributions can be efficiently checked. We implement peaked-circuit sampling on IBM superconducting quantum processors and compare the performance to various classical simulation strategies. To handle realistic noise, we introduce a mitigation strategy tailored to peaked sampling distributions that boosts recovery of the target peak. By comparing hardware and classical on identical circuits, our benchmarks point to experimentally accessible regimes where verifiable quantum advantage may emerge.