Toward quantum computations of the $O(3)$ model using qumodes

Abstract

We express the discrete 1+1-dimensional $O(3)$ non-linear sigma model (NL$\sigma$M) in a form well-suited for the continuous variable approach to quantum computing. Within the Schwinger boson formulation, we need two qumodes (quantum-mechanical oscillators) at each lattice site. We envision that it might be possible to reach the scaling regime of this model and observe asymptotic freedom on near-term photonic quantum devices in the coming decade.

Comments: Proceedings for the 40th International Symposium on Lattice Field Theory (31 July - 4 August 2023) at Fermilab. 8 pages. Comments welcome!