发表机构
Department of Computer Science; College of Natural Sciences; The University of Texas at Austin; Oden Institute for Computational Engineering and Sciences（计算机科学系; 自然科学学院; 德克萨斯大学奥斯汀分校; 计算工程与科学奥登研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究参数化动力系统稀有区域发现问题，引入QC-PHAST协议和框架，利用科学元数据等评估搜索方式，以量子行作参考，通过多种手段确定何时经典或资源感知搜索占优，给出可审计协议。
AI 中文摘要
参数化动力系统中的稀有区域发现是一个主动搜索问题：找到一个经过验证的参数，在该参数处跨越科学定义的定性阈值，即使可接受的候选参数很少、非凸或分散。我们引入了量子-经典相空间和稳定性阈值搜索（QC-PHAST），这是一种用于有限候选库的证据门控决策协议和查询计数框架。一个候选参数会引发一个动态对象、模拟器得出的临界分数以及经过验证的首次命中谓词。科学元数据和带电试点证据用于评估方程感知搜索、标量分数主动搜索、仅谓词搜索或仅查询模型比较是否可行。量子行是继承的格罗弗/博耶-布拉萨德-霍耶-塔普（BBHT）未知-M标记集查询参考；它不是一个新的量子搜索定理、具体电路或硬件加速声明。结果是一个区域图。直接边界构造、几何控制、在线模拟器循环和学习标签计数进一步确定何时经典结构、误报、校准成本或状态制备会消除查询模型的优势。因此，QC-PHAST是一个可审计的协议，用于决定有限池标记集参考何时具有信息性，以及何时经典或资源感知搜索应占主导地位。
英文摘要
Rare-regime discovery in parameterized dynamical systems is an active-search problem: find one verified parameter at which a scientifically defined qualitative threshold is crossed, even when acceptable candidates are rare, nonconvex, or fragmented. We introduce Quantum-Classical Phase-space and Stability-Threshold Search (QC-PHAST), an evidence-gated decision protocol and query-accounting framework for finite candidate libraries. A candidate induces a dynamical object, simulator-derived criticality score, and verified first-hit predicate. Scientific metadata and charged pilot evidence are used to assess whether equation-aware search, scalar-score active search, predicate-only search, or only a query-model comparison is admissible. The quantum row is the inherited Grover/Boyer--Brassard--Hoyer--Tapp (BBHT) unknown-$M$ marked-set query reference; it is not a new quantum-search theorem, materialized circuit, or hardware-speedup claim. The result is a regime map. Direct boundary constructions, geometry controls, online simulator loops, and learned-label accounting further identify when classical structure, false positives, calibration cost, or state preparation erases the query-model margin. QC-PHAST is therefore an auditable protocol for deciding when a finite-pool marked-set reference is informative and when classical or resource-aware search should dominate.
Comments70 pages, 16 figures, 36 tables
