We present a quantum-classical algorithm to study the dynamics of the Rohksar-Kivelson plaquette ladder on NISQ devices. We show that complexity is largely reduced using gauge invariance, additional symmetries, and a crucial property associated to how plaquettes are blocked against ring-exchange in the ladder geometry. This allows for an efficient simulation of sizable plaquette ladders with a small number of qubits, well suited for the capabilities of present NISQ devices. We illustrate the procedure for ladders with simulation of up to 8 plaquettes in an IBM-Q machine, employing scaled quantum gates.
@article{arxiv.2401.16326,
title = {Simulation of a Rohksar-Kivelson ladder on a NISQ device},
author = {Sabhyata Gupta and Younes Javanmard and Tobias J. Osborne and Luis Santos},
journal= {arXiv preprint arXiv:2401.16326},
year = {2024}
}