Reduction of dilute Ising spin glasses

The recently proposed reduction method for diluted spin glasses is investigated in depth. In particular, the Edwards-Anderson model with ±J and Gaussian bond disorder on hypercubic lattices in $d=2$, 3, and 4 is studied for a range of bond dilutions. The results demonstrate the effectiveness of using bond dilution to elucidate low-temperature properties of Ising spin glasses and provide a starting point to enhance the methods used in reduction. Based on that, a greedy heuristic called ``dominant bond reduction'' is introduced and explored.