Document Type

Article

Publication Date

2024

DOI

10.1103/PhysRevA.109.052412

Publication Title

Physical Review A

Volume

109

Issue

5

Pages

052412 (1-16)

Abstract

We formulate the O(3) nonlinear 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 and obtain numerical results using a photonic quantum simulator. We expect that the methods developed in this paper 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 decades.

Rights

© 2024 American Physical Society

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Original Publication Citation

Jha, R. G., Ringer, F., Siopsis, G., & Thompson, S. (2024). Continuous-variable quantum computation of the O(3) model in 1+1 dimensions. Physical Review A, 109(5), 1-16, Article 052412. https://doi.org/10.1103/PhysRevA.109.052412

ORCID

0000-0002-5939-3510 (Ringer)

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