# Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits

@article{Yamamoto2020RealtimeSO, title={Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits}, author={Arata Yamamoto}, journal={arXiv: High Energy Physics - Lattice}, year={2020} }

We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The real-time evolution of the system with two static charges, i.e., two Wilson lines, is considered. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. We show some results obtained by the simulator and the real device of a quantum computer.

## 9 Citations

Toward Quantum Simulations of $\mathbb{Z}_2$ Gauge Theory Without State Preparation.

- Physics
- 2020

Preparing strongly-coupled particle states on quantum computers requires large resources. In this work, we show how classical sampling coupled with projection operators can be used to compute…

Toward quantum simulations of
Z2
gauge theory without state preparation

- Physics
- 2021

Quantum computers hold the promise of solving problems beyond the capability of classical computers in many aspects of high energy physics, in particular calculations involving finite density and…

Noise Improvements in Quantum Simulations of sQED using Qutrits

- Physics
- 2022

We present an argument for the advantages of using qudits over qubits for scalar Quantum Electrodynamics in (1 + 1)d. We measure the mass gap using an out of time correlator as a function of noise…

Large scale multi-node simulations of $\mathbb{Z}_2$ gauge theory quantum circuits using Google Cloud Platform

- Physics
- 2021

Simulating quantum field theories on a quantum computer is one of the most exciting fundamental physics applications of quantum information science. Dynamical time evolution of quantum fields is a…

Lattice renormalization of quantum simulations

- PhysicsPhysical Review D
- 2021

Marcela Carena,1, 2, 3, ∗ Henry Lamm,1, † Ying-Ying Li,1, ‡ and Wanqiang Liu4, § 1Fermi National Accelerator Laboratory, Batavia, Illinois, 60510, USA 2Enrico Fermi Institute, University of Chicago,…

Prospects for simulating a qudit-based model of
(1+1)D
scalar QED

- Physics
- 2021

We present a gauge invariant digitization of (1 + 1)d scalar quantum electrodynamics for an arbitrary spin truncation for qudit-based quantum computers. We provide a construction of the Trotter…

Quantum Simulation of Dihedral Gauge Theories

- Physics
- 2021

M. Sohaib Alam,1, ∗ Stuart Hadfield,2, 3, † Henry Lamm,4, ‡ and Andy C. Y. Li4, § (SQMS collaboration) 1Rigetti Computing, Berkeley, CA, 94701, USA 2Quantum Artificial Intelligence Laboratory…

Quantum algorithms for transport coefficients in gauge theories

- PhysicsPhysical Review D
- 2021

In the future, ab initio quantum simulations of heavy ion collisions may become possible with large-scale fault-tolerant quantum computers. We propose a quantum algorithm for studying these…

Scalable Cold-Atom Quantum Simulator for Two-Dimensional QED.

- Physics, MedicinePhysical review letters
- 2021

The approach to the pure gauge theory of compact QED is applied and the phenomenon of confinement of electric charges can be described by the quantum simulator, thus solving a major obstacle toward experimental realizations of realistic gauge theories in higher dimensions.

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