Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
Abstract
A framework for quantum simulations of real-time weak decays of hadrons and nuclei in a 2-flavor lattice theory in one spatial dimension is presented. A single generation of the Standard Model is found to require 16 qubits per spatial lattice site after mapping to spin operators via the Jordan-Wigner transformation. Both quantum chromodynamics and flavor-changing weak interactions are included in the dynamics, the latter through four-Fermi effective operators. Quantum circuits which implement time evolution in this lattice theory are developed and run on Quantinuum's H1-1 20-qubit trapped ion system to simulate the -decay of a single baryon on one lattice site. These simulations include the initial state preparation and are performed for both one and two Trotter time steps. The potential intrinsic error-correction properties of this type of lattice theory are discussed and the leading lattice Hamiltonian required to simulate -decay of nuclei induced by a neutrino Majorana mass term is provided.
Keywords
Cite
@article{arxiv.2209.10781,
title = {Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time},
author = {Roland C. Farrell and Ivan A. Chernyshev and Sarah J. M. Powell and Nikita A. Zemlevskiy and Marc Illa and Martin J. Savage},
journal= {arXiv preprint arXiv:2209.10781},
year = {2023}
}
Comments
27 pages, 11 figures. Typo fixed in v3