Resonating Kagome Dimer coverings in Rydberg atom arrays

TL;DR

This paper investigates the properties of kagome dimer superpositions in Rydberg atom arrays, providing efficient algorithms for their experimental realization and a matrix product state representation for arbitrary geometries.

Contribution

It introduces a novel matrix product state approach and an efficient protocol for creating kagome dimer superpositions in Rydberg atom experiments.

Findings

States have simple descriptions in the thin cylinder limit.

Developed an efficient algorithm for state preparation.

Applicable to various quantum hardware platforms.

Abstract

Motivated by experiments on Rydberg atom arrays, we explore the properties of uniform quantum superpositions of kagome dimer configurations and construct an efficient algorithm for experimentally producing them. We begin by considering the thin cylinder limit, where these states have simple descriptions. We then develop a matrix product representation of the states on arbitrary cylinders, which leads to a natural protocol to efficiently grow them. We explain how our approach can be adapted to other quantum computing hardware.