Title: Programming higher-order interactions of Rydberg atoms Show Chinese title

Title: 编程里德伯原子的高阶相互作用

Abstract: Higher-order interactions in spin-based Hamiltonians are crucial in addressing numerous fundamentally significant physical problems. In this work, Rydberg-atom graph gadgets are introduced to effectively program $K$-th order interactions within a Rydberg atom system. This approach facilitates the determination of the ground states of an Ising-type Hamiltonian, encoded to solve higher-order unconstrained optimization problems. A favorable scaling behavior, $O(N^K)$, is expected in terms of the number of atoms required for $N$-vertex hypergraph optimization problems. Show Chinese abstract

Abstract: 高阶自旋哈密顿量中的相互作用在解决许多基本重要的物理问题中至关重要。 在本工作中， 引入了里德伯原子图装置，以在里德伯原子系统中有效编程$K$阶相互作用。 这种方法有助于确定编码为解决高阶无约束优化问题的伊辛型哈密顿量的基态。 在所需原子数量方面，预期出现有利的缩放行为，$O(N^K)$，对于$N$顶点超图优化问题而言。