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Publication Information
Title Continuous variable quantum computation of the O(3) model in 1+1 dimensions
Abstract We formulate the $O(3)$ non-linear sigma model in $1+1$ dimensions as a limit of a three-component scalar field theory restricted to the unit sphere in the large squeezing limit. This allows us to describe the model in terms of the continuous variable (CV) approach to quantum computing. We construct the ground state and excited states using the coupled cluster ansatz and find excellent agreement with the exact diagonalization results for a small number of lattice sites. We then present the simulation protocol for the time evolution of the model using CV gates, estimate the discretization error, and present numerical results obtained from a photonic quantum simulator. We expect that the methods developed in this work will be useful for exploring interesting dynamics for a wide class of sigma models and gauge theories, as well as for simulating scattering events on quantum hardware in the coming decade.
Author(s) Shane Thompson, George Siopsis, Raghav Jha, Felix Ringer
Publication Date May 2024
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-23-3934 OSTI Number: 2350825
LANL Number: arXiv:2310.12512 Other Number: DOE/OR/23177-7220
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review A
Refereed No
Volume 109
Issue
Page(s) 052412
Attachments/Datasets/DOI Link
Document(s)
O3-submit.pdf (STI Document)
2310.12512v2.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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