发表机构
National University of Singapore（新加坡国立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对多元极端值高维模拟的组合复杂性问题，开发Q-Edge对称约化量子框架，通过轨道空间表示缩减状态空间，实现结构化极端系统的可扩展模拟，30维问题可将量子比特需求从21降至8。
AI 中文摘要
多元极端值的高维模拟从根本上受限于依赖关系的组合复杂性，这种限制往往超过了极端观测值稀缺带来的影响。我们证明，对称性可实现无损轨道空间表示，该表示在保留结构化极端依赖的同时，将指数级庞大的依赖空间替换为一组紧凑的对称类。基于这一原理，我们开发了Q-Edge（量子极端依赖引擎，Quantum Extreme Dependence Engine），这是一种直接在轨道空间运行的对称约化量子框架，可实现结构化极端系统的可扩展模拟与数字孪生。通过将对称性融入数据表示而非量子电路，Q-Edge使无约束量子生成模型能够利用大幅缩减的状态空间。对于一个30维问题，约160万个角态坍缩为256个轨道态，将所需的量子表示从约21量子比特降至8量子比特。我们的结果为结构化极端依赖的可扩展量子模拟确立了一种通用计算原理。
英文摘要
High-dimensional simulation of multivariate extremes is fundamentally limited by the combinatorial complexity of dependence, often more than by the scarcity of extreme observations. We show that symmetry admits a lossless orbit-space representation that preserves structured extreme dependence while replacing an exponentially large dependence space with a compact set of symmetry classes. Based on this principle, we develop Q-Edge (Quantum Extreme Dependence Engine), a symmetry-reduced quantum framework that operates directly in orbit space, enabling scalable simulation and digital twins of structured extreme systems. By transferring symmetry into the data representation rather than the quantum circuit, Q-Edge allows unconstrained quantum generative models to exploit dramatically reduced state spaces. For a 30-dimensional problem, approximately 1.6 million angular states collapse to 256 orbit states, reducing the required quantum representation from about 21 qubits to 8. Our results establish a general computational principle for scalable quantum simulation of structured extreme dependence.
