标题： 量子计算用于能量关联器 显示英文标题

标题： Quantum Computing for Energy Correlators

摘要： 近年来，能量关联器已成为研究高能碰撞碎片动力学的强大可观测量。 我们引入了首次使用哈密顿格点方法计算能量关联器的数值策略，从而能够探索这些可观测量的迷人非微扰动力学。 此外，受量子计算硬件和算法快速发展的推动，我们提出了一种在量子场论中计算能量关联器的量子算法。 该算法包括基态制备、源、汇、能量通量、实时演化算子的应用以及Hadamard测试。 我们通过将该方法应用于$2+1$维的SU(2)纯规范理论，在$3\times 3$和$5\times 5$蜂窝晶格上，$j_{\rm max} = \frac{1}{2}$在不同耦合常数下的情况进行了验证，同时使用经典方法和量子算法进行计算，后者使用IBM模拟器对特定配置进行了测试。 结果与强耦合区域的预期行为一致，并促使进一步开展更全面的研究，以探索弱耦合和强耦合区域之间的禁闭动力学。 显示英文摘要

摘要： In recent years, energy correlators have emerged as powerful observables for probing the fragmentation dynamics of high-energy collisions. We introduce the first numerical strategy for calculating energy correlators using the Hamiltonian lattice approach, providing access to the intriguing nonperturbative dynamics of these observables. Furthermore, motivated by rapid advances in quantum computing hardware and algorithms, we propose a quantum algorithm for calculating energy correlators in quantum field theories. This algorithm includes ground state preparation, the application of source, sink, energy flux, real-time evolution operators, and the Hadamard test. We validate our approach by applying it to the SU(2) pure gauge theory in $2+1$ dimensions on $3\times 3$ and $5\times 5$ honeycomb lattices with $j_{\rm max} = \frac{1}{2}$ at various couplings, utilizing both classical methods and the quantum algorithm, the latter tested using the IBM emulator for specific configurations. The results are consistent with the expected behavior of the strong coupling regime and motivate a more comprehensive study to probe the confinement dynamics across the weak and strong coupling regimes.