Algorithm 1 Multi-objective Quantum-inspired PSO
1:	Set input data, A(t) := Ø; t := 0
2:	Initialize quantum register Q(t) with M qubits by the set of Hadamard gates
3:	while (not termination condition) do
4:		create P(t) by observing the state of Q(t)
5:		determine new positions and velocities of particles followed by create B(t)
6:		find Fonseca-Fleming ranks for an extended archive C(t) = A(t)∪B(t)∪P(t)
7:		calculate crowding distances, fitness and then sort particles in C(t)
8:		form A(t) of Pareto-optimal solutions from the sorted set C(t)
9:		a tournament selection of an angle rotation matrix $M_{\theta }$ based on rating $R\left(M_{\theta }\right)$
10:		mutate the selected matrix $M_{\theta }$ with the rate pm
11:		modify Q(t) using the rotation gates
12:		t := t + 1
13:	end while