# How to quantify frustration for spin models with long range interactions?

Consider the following Hamiltonian:

$$H=-\sum_{i\neq j}J_{ij}S_iS_j-\sum_i H_iS_i$$

where $$S_i\in\{-1,1\}$$, and the summed pair $$i,j$$ can be any two distinct indices (not necessary adjacent spins). If we were to find the ground state of the system, would frustration be a good measure of the hardness of the problem? And if so, is there any way to quantify the frustration for this system?