CQ-Migrate: A Hardware-Aware Feasibility Framework for NISQ Workloads with Multi-Run Validation onTuna-17

Abstract Classical-to-quantum workload migration is not a direct code-translation task because theoretical speedup, reversible mapping, circuit resources, device noise, compilation, queueing, and classical--quantum orchestration must be considered together. This work presents CQ-Migrate, a structured decision framework for determining whether a workload should remain classical, be decomposed into a hybrid workflow, or be evaluated on a quantum processing unit. Grover search is used as an empirical case study. A true two-qubit Grover circuit was validated locally, executed on the Quantum Inspire QX emulator, and then evaluated on the 17-qubit Tuna-17 superconducting processor. Four marked states were tested with five independent hardware runs per state and 1024 shots per run, totaling 20,480 hardware shots. The emulator returned the marked state in 100% of 4096 shots. Tuna-17 produced 19,076 correct measurements, corresponding to an aggregate success probability of 93.14% (95% Wilson interval: 92.79--93.48%). State-wise mean success ranged from 91.82% to 94.30%; run-level differences across marked states were statistically detectable (one-way ANOVA \((F=5.99)\), \((p=0.0062)\); Kruskal--Wallis \((H=10.88)\), \((p=0.0124)\)). The study also reports complete provider job provenance and reinterprets earlier archived IBM executions as a backend-variability control rather than a Grover validation. The results support evidence-driven, hardware-aware migration decisions without claiming practical quantum speedup for the small instance studied.