Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States

TL;DR

This paper investigates how D-Wave's quantum annealers can be used to simulate fundamental aspects of Standard Model physics, including lattice field theories and neutrino dynamics, using specialized algorithms.

Contribution

It introduces the implementation of multigrid and Feynman-clock algorithms on quantum annealers for simulating key Standard Model components.

Findings

Successful simulation of harmonic and anharmonic oscillators

Study of time evolution in SU(3) lattice gauge theory

Analysis of flavor entanglement dynamics in neutrino systems

Abstract

We explore the potential of D-Wave's quantum annealers for computing some of the basic components required for quantum simulations of Standard Model physics. By implementing a basic multigrid (including "zooming") and specializing Feynman-clock algorithms, D-Wave's Advantage is used to study harmonic and anharmonic oscillators relevant for lattice scalar field theories and effective field theories, the time evolution of a single plaquette of SU(3) Yang-Mills lattice gauge field theory, and the dynamics of flavor entanglement in four neutrino systems.