标题： 从费曼积分到量子算法：环树对偶性的联系 显示英文标题

标题： From Feynman integrals to quantum algorithms: the Loop-Tree Duality connection

摘要： 在高能粒子物理的背景下，可靠的理论与实验对照需要精确的理论预测。 这转化为需要获取更高阶的微扰论结果，当我们追求这一目标时，不可避免地会遇到复杂的多环费曼积分。 使用传统工具计算它们存在严重的瓶颈：探索新技术的时代已经到来。 在本工作中，我们研究了量子算法在优化散射振幅被积函数中的实现。 我们的方法依赖于明显的因果环-树对偶性（LTD），它将环形被积函数重新表述为相空间积分，并避免了虚假的非物理奇点。 然后，我们将这些信息编码，使量子计算机能够理解这个问题，并构建其基态直接与因果表示相关的哈密顿量。 我们展示了针对通用多环拓扑族的有希望的结果。 显示英文摘要

摘要： In the context of high-energy particle physics, a reliable theory-experiment confrontation requires precise theoretical predictions. This translates into accessing higher-perturbative orders, and when we pursue this objective, we inevitably face the presence of complicated multi-loop Feynman integrals. There are serious bottlenecks to compute them with classical tools: the time to explore novel technologies has arrived. In this work, we study the implementation of quantum algorithms to optimize the integrands of scattering amplitudes. Our approach relies on the manifestly causal Loop-Tree Duality (LTD), which re-casts the loop integrand into phase-space integrals and avoids spurious non-physical singularities. Then, we codify this information in such a way that a quantum computer can understand the problem, and build Hamiltonians whose ground state are directly related to the causal representation. Promising results for generic families of multi-loop topologies are presented.