A mixed-culture quantitative model of the restoration priority of traditional dwellings using Grover’s search

Traditional village conservation in China faces challenges of limited budgets and subjective prioritization. This study introduces a hybrid quantum-cultural optimization model based on Grover’s algorithm to reformulate restoration prioritization as an unstructured search task. By integrating quantitative indicators—Protection Value, Cultural Symbolism, Utilization Potential—and qualitative humanistic attributes into a quantum Oracle, the model enables parallel evaluation. Using an 8-qubit simulation on 143 Yunnan dwellings, it identified an optimal indicator combination (85, 17, 9) and selected 18 culturally significant dwellings, outperforming classical TOPSIS in both precision and efficiency. The research demonstrates that quantum amplitude amplification can effectively bridge fuzzy cultural semantics with multi-criteria evaluation, offering a novel data-driven paradigm for heritage conservation and establishing an early cross-disciplinary link between quantum computing and spatial cultural governance.