Continuous variable quantum computation of the $O(3)$ model in 1+1 dimensions

• URL: http://arxiv.org/abs/2310.12512v2
• Date: Wed, 15 May 2024 01:54:36 GMT
• Title: Continuous variable quantum computation of the $O(3)$ model in 1+1 dimensions
• Authors: Raghav G. Jha, Felix Ringer, George Siopsis, Shane Thompson,
• Abstract summary: We formulate the $O(3)$ non-linear sigma model in 1+1 dimensions as a limit of a three-component scalar field theory. We construct the ground state and excited states using the coupled-cluster Ansatz. We present the simulation protocol for the time evolution of the model using CV gates and obtain numerical results using a photonic quantum simulator.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 and obtain numerical results using 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 decades.

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