优化旅游路线:对利旅游问题的量子方法
Xiao-Shuang Cheng1, You-Hang Liu2, Xiao-Hong Dong1
1School of Geography and Tourism, Qilu Normal University, Jinan 250000, China.
Entropy (Basel, Switzerland)
|February 27, 2026
概括
这项研究将量子计算应用于利性旅游问题,这是旅游业的一个复杂的优化挑战. 新方法使用变量量子Eigensolver找到最佳路线,改进了经典方法.
科学领域:
- 量子计算是一种量子计算.
- 优化理论 优化理论
- 计算科学 计算科学
背景情况:
- 利性旅游问题 (PTP) 是一个NP-hard优化问题,对旅游规划至关重要.
- 对于PTP的经典启发式方法通常会产生近似的解决方案,无法保证总的最佳性.
- 现有的量子方法在优化问题中可能面临复杂的约束处理挑战.
研究的目的:
- 探索近期量子计算的应用,以解决利之旅问题.
- 开发一个新的量子框架,利用变量量子Eigensolver (VQE).
- 为直接编码PTP约束引入一个约束意识的变量替代.
主要方法:
- 实现一个变量量子自溶解器 (VQE) 框架.
- 开发一种针对PTP量身定制的新型约束感知变异的替代方法.
- 问题的制定是哈密尔顿式,避免了巨大的惩罚条款.
- 在旅游场景上使用最多25个量子比特进行数值模拟.
主要成果:
- 证明了VQE方法对PTP的可行性.
- 对于较小的问题实例,实现了高解决准确度,与粗暴强力方法相美.
- 验证了限制意识方法在简化优化环境中的有效性.
- 展示了量子计算在复杂旅游优化中的潜力.
结论:
- 拟议的VQE框架为解决利之旅问题提供了一个有希望的方法.
- 约束意识的Ansatz代表了应用量子算法在受约束优化中的重大进步.
- 这项工作可以作为未来研究旅游优化量子硬件的概念验证.
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