For couplings J_ij=(i^d+j^d)/N^d, the ground state is a two-block configuration whose boundary is set by an algebraic equation, giving an exact benchmark for Ising machines.
Considering the following formula [35]: F d (N ) = NX i =1 i d = dX r =0 (−1)r Br d + 1 Ã d + 1 r ! N d +1−r , (7) where Br is the r th Bernouli number
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Continuous Approximation of the Ising Hamiltonian: Exact Ground States and Applications to Fidelity Assessment in Ising Machines
For couplings J_ij=(i^d+j^d)/N^d, the ground state is a two-block configuration whose boundary is set by an algebraic equation, giving an exact benchmark for Ising machines.