A major challenge in implementing equation (1) is posed by the required individually programmable long–range interactions , which is in contradiction to polynomially decaying interactions in cold atoms and molecule setups. Adopting the LHZ architecture12, the infinite-range spin glass is translated to a lattice spin model, where new physical spins represent the relative orientation of two logical spins of equation (1). If two logical spins are aligned in parallel, that is, or , then the corresponding physical spin is in state , while if the logical spins are aligned anti-parallel, that is, or , then the physical spin is in state . The major advantage of this approach is that the interaction energy of a pair of logical spins can now be implemented with a local field acting on a single physical spin.