  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 $\beta$-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 $0\nu\beta\beta$-decay of nuclei induced by a
neutrino Majorana mass term is provided.
