Continuous-variable quantum computation of the O(3) model in <strong>1+1</strong> dimensions

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. Here 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.. Authors: Jha, Raghav G. [Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)]; Ringer, Felix [Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion University, Norfolk, VA (United States)]; Siopsis, George [University of Tennessee, Knoxville, TN (United States)]; Thompson, Shane [University of Tennessee, Knoxville, TN (United States)]. DOE Contract: AC05-00OR22725; AC05-06OR23177; SC0012704; SC0023687; SC0024358. Subjects: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum algorithms and computation; quantum information processing with continuous variables; quantum simulation