Fig. 1

Elementary quantum circuits used in the QAOA-based H-matrix search, categorized into four types: (a) 1-body interaction term, (b) 2-body interaction term, (c) 3-body interaction term, and (d) 4-body interaction term. In this figure, \(q_j, q_k, q_m,\) and \(q_n\) are the \(j^{th}, k^{th}, m^{th},\) and \(n^{th}\) qubits, respectively, \(\gamma\) denotes rotation angle, and \(c_j, c_{jk}, c_{jkm},\) and \(c_{jkmn}\) are constants.