How SPIMs Tackle “Realistic” Spin Glass and Möbius Ladder Graphs

This section explores translation invariant problems as a key domain for SPIM (Statistical Physics Inspired Models) applications. Using the correlation function method, SPIMs can encode cyclic coupling matrices relevant to “realistic” spin glasses on hypercubic lattices. The Möbius ladder graph, a circulant structure, exemplifies how SPIM hardware implements such problems, modeling Ising spins with complex frustrations. Together, these insights highlight how SPIMs bridge physics, graph theory, and optimization challenges.