Simulation of a Rohksar-Kivelson ladder on a NISQ device

verfasst von

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.

Organisationseinheit(en)

Institut für Theoretische Physik
QUEST Leibniz Forschungsschule

Typ

Preprint

Publikationsdatum

29.01.2024

Publikationsstatus

Elektronisch veröffentlicht (E-Pub)

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2401.16326 (Zugang: Offen)