Quantum simulation of Ising spins on Platonic graphs

TL;DR

This paper demonstrates quantum simulations of Ising spins on Platonic graphs using Rydberg atoms, showcasing ground state probing and topology-preserving transformations, paving the way for larger-scale quantum simulations.

Contribution

It introduces a quantum-wire approach for simulating Ising models on Platonic graphs with Rydberg atoms, enabling topology-preserving transformations and scalable quantum simulations.

Findings

Successfully simulated ground states of tetrahedron, cube, and octahedron graphs.

Demonstrated control of system Hamiltonians from paramagnetic to anti-ferromagnetic phases.

Experimental limitations are due to imperfections, but scalability is promising with current technology.

Abstract

We present quantum simulation experiments of Ising-like spins on Platonic graphs, which are performed with two-dimensional arrays of Rydberg atoms and quantum-wire couplings. The quantum wires are used to couple otherwise uncoupled long-distance atoms, enabling topology-preserving transformtions of the three-dimensional graphs to the two-dimensional plane. We implement three Platonic graphs, tetrahedron, cube, and octahedron of Platonic solids, and successfully probe their ground many-body spin configurations before and after the quasi-adiabatic control of the system Hamiltonians from the paramagnetic phase to anti-ferromagnetic-like phases. Our small-scale quantum simulations of using less than 22 atoms are limited by experimental imperfections, which can be easily improved by the state-of-the-art Rydberg-atom technologies for more than 1000-atom scales. Our quantum-wire approach is expected to pave a new route towards large-scale quantum simulations.