Simulation of a Rohksar-Kivelson ladder on a NISQ device

Research output: Working paper/PreprintPreprint

Authors

  • Sabhyata Gupta
  • Younes Javanmard
  • Tobias J. Osborne
  • Luis Santos
View graph of relations

Details

Original languageUndefined/Unknown
Publication statusE-pub ahead of print - 29 Jan 2024

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.

Keywords

    quant-ph

Cite this

Simulation of a Rohksar-Kivelson ladder on a NISQ device. / Gupta, Sabhyata; Javanmard, Younes; Osborne, Tobias J. et al.
2024.

Research output: Working paper/PreprintPreprint

Gupta, S., Javanmard, Y., Osborne, T. J., & Santos, L. (2024). Simulation of a Rohksar-Kivelson ladder on a NISQ device. Advance online publication. https://doi.org/10.48550/arXiv.2401.16326
Gupta S, Javanmard Y, Osborne TJ, Santos L. Simulation of a Rohksar-Kivelson ladder on a NISQ device. 2024 Jan 29. Epub 2024 Jan 29. doi: 10.48550/arXiv.2401.16326
Gupta, Sabhyata ; Javanmard, Younes ; Osborne, Tobias J. et al. / Simulation of a Rohksar-Kivelson ladder on a NISQ device. 2024.
Download
@techreport{448282df6e634d40a93c48cd4007fa55,
title = "Simulation of a Rohksar-Kivelson ladder on a NISQ device",
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. ",
keywords = "quant-ph",
author = "Sabhyata Gupta and Younes Javanmard and Osborne, {Tobias J.} and Luis Santos",
year = "2024",
month = jan,
day = "29",
doi = "10.48550/arXiv.2401.16326",
language = "Undefined/Unknown",
type = "WorkingPaper",

}

Download

TY - UNPB

T1 - Simulation of a Rohksar-Kivelson ladder on a NISQ device

AU - Gupta, Sabhyata

AU - Javanmard, Younes

AU - Osborne, Tobias J.

AU - Santos, Luis

PY - 2024/1/29

Y1 - 2024/1/29

N2 - 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.

AB - 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.

KW - quant-ph

U2 - 10.48550/arXiv.2401.16326

DO - 10.48550/arXiv.2401.16326

M3 - Preprint

BT - Simulation of a Rohksar-Kivelson ladder on a NISQ device

ER -