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This study reframes limitations in Quantum Approximate Optimization Algorithm (QAOA) transfers not as tuning failures but as deterministic phase interference phenomena dependent on penalty weight matching. By confirming that shallower angle sets exhibit higher transferability through resonance effects, the research provides a quantifiable metric for predicting solution feasibility without relying on structural similarity alone. This theoretical breakthrough clarifies fundamental mechanisms in quantum optimization circuits using exact statevector experiments on 20-qubit instances.
New 20-Qubit QUBO Result Reveals Why QAOA Actually Works

Parameter transfer in the Quantum Approximate Optimization Algorithm, tested on a 20-qubit QUBO instance, reveals trained angles retain information about penalty weights.
A 20-qubit multi-user resource-allocation QUBO has now confirmed a new understanding of how the Quantum Approximate Optimization Algorithm (QAOA) succeeds at solving complex problems; researchers have demonstrated that transferred QAOA angles don’t simply reflect structural similarities between problems, but actively “memorize the penalty weight” of the training instance. This finding reframes a common QAOA failure mode, poor performance when transferring solutions, not as a tuning problem, but as predictable behavior stemming from phase interference. The work reveals transfer feasibility exhibits where the deployment penalty matches the training penalty, and shallower angle sets are more easily transferred. This theorem, independent of how the angles are obtained, recasts penalty-based QAOA failures as deterministic phase interference rather than…
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