Optimal lattice-growth strategy for nucleation

Determine the most appropriate nucleation growth strategy for a given lattice Hamiltonian and quantum-computer architecture, including whether symmetric radial, symmetric column-wise, or another growth pattern is optimal.

Background

For two-dimensional lattice models, the paper considers multiple ways to enlarge the lattice during nucleation, including symmetric radial growth from a central core and symmetric column-wise growth. The numerical benchmark uses the column-wise strategy for ease of implementation, but the paper does not establish which growth pattern is best. The authors note that the appropriate choice may depend on both the physical problem and the available quantum hardware.