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Title Continuous variable quantum computation of the O(3) model in 1+1 dimensions
Authors Shane Thompson, George Siopsis, Raghav Jha, Felix Ringer
JLAB number JLAB-THY-23-3934
LANL number arXiv:2310.12512
Other number DOE/OR/23177-7220
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)

Compiled for Physical Review A
Volume 109
Page(s) 052412
Publication 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.
Experiment Numbers: other
Document: pdf
Accepted Manuscript: 2310.12512v2.pdf
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