Quantum-Ising Hamiltonian programming in trio, quartet, and sextet qubit systems

TL;DR

This paper demonstrates the use of Rydberg-atom quantum simulators to program and analyze three-dimensional quantum-Ising Hamiltonian systems with various graph structures, revealing energy spectra and topological transformations.

Contribution

It introduces a method to construct and probe complex quantum-Ising Hamiltonians in 3D using Rydberg atoms, including novel geometric configurations and their spectral properties.

Findings

Achieved spectroscopic resolution below 10%

Observed energy level shifts during structural transformations

Validated experimental results with theoretical quantum-Ising models

Abstract

Rydberg-atom quantum simulators are of keen interest because of their possibilities towards high-dimensional qubit architectures. Here we report three-dimensional conformation spectra of quantum-Ising Hamiltonian systems with programmed qubit connections. With a Rydberg-atom quantum simulator, various connected graphs, in which vertices and edges represent atoms and blockaded couplings, respectively, are constructed in two or three-dimensional space and their eigenenergies are probed during their topological transformations. Star, complete, cyclic, and diamond graphs, and their geometric intermediates, are tested for four atoms and antiprism structures for six atoms. Spectroscopic resolution (dE/E) less than 10% is achieved and the observed energy level shifts and merges through structural transformations are in good agreement with the model few-body quantum-Ising Hamiltonian.