Fine-tuning parameters for QAOA

In the previous sections, we developed the concepts for how QAOA works and used a set of parameters that scale the rotations of the RZ, ZZ, and RX gates. It should also be apparent that rotating the angle too far will only cause it to start moving in the opposite direction of where we want it. Thus, the parameters depend on having an understanding of the problem, the size of the coefficients, and the number of times the RZ, ZZ, and RX gates are repeated. We will continue with our objective function to see whether we can improve on the parameters and get a better result:

1. In this first example, we will set param2 to 0.1 and vary param1 using x2 while plotting the probabilities of the four possible answers. The code for this is as follows:

   x2=np.arange(0,1.5,.1)# set x
   x=x2
   prob_00=[]
   prob_01=[]
   prob_10=[]
   prob_11=[]
   c_0=objective[0,0]
   c_1=objective[1,1]
   c_01=objective[0,1]
   param2=0.1

2. he following code uses the param_tuning_example() function...