Simulation of a Rohksar-Kivelson ladder on a NISQ device

authored by

Sabhyata Gupta, Younes Javanmard, Tobias J. Osborne, Luis Santos

Abstract

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.

Organisation(s)

Institute of Theoretical Physics
QUEST-Leibniz Research School

Type

Preprint

Publication date

29.01.2024

Publication status

E-pub ahead of print

Electronic version(s)

https://doi.org/10.48550/arXiv.2401.16326 (Access: Open)