Programming higher-order interactions of Rydberg atoms
arXiv:2407.02026 · doi:10.1103/PhysRevA.110.042612
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 -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, , is expected in terms of the number of atoms required for -vertex hypergraph optimization problems.
10 pages, 5 figures
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