Title: Continuous-variable quantum computation of the O(3) model in 1+1 dimensions

Journal Article · · Physical Review A
 [1];  [2];  [3];  [3]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion University, Norfolk, VA (United States)
  3. University of Tennessee, Knoxville, TN (United States)
+ Show Author Affiliations

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.

Research Organization:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Organization:
Army Research Office (ARO); National Science Foundation (NSF); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC05-00OR22725; AC05-06OR23177; SC0012704; SC0023687; SC0024358
OSTI ID:
2350825
Report Number(s):
DOE/OR/23177-7220; JLAB-THY-23-3934; arXiv:2310.12512; DE-SC0012704; W911NF-19-1- 0397; DGE-2152168; DE-SC0023687; DE-SC0024358; DE-AC05-00OR22725
Journal Information:
Physical Review A, Journal Name: Physical Review A Vol. 109; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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