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Range of n, h, g, d for random circuits

====== NEW ======

random_circuit_d_const -> n -> (1, 30) d -> (1, 30) g -> arbitrary h -> arbitrary

random_circuit_g_const -> n -> (1, 30) g -> (1, 500) d -> arbitrary h -> arbitrary

random_circuit_h_const -> n -> (3, 100) h -> (1, 100) g -> arbitrary d -> arbitrary

For PolySim -> limit h to 25 For DDSIM and Aer -> limit n to 25

====== h_prob ======

The probability of encountering an H gate in a random quantum circuit could range from 10% to 30% depending on the algorithm and its complexity. Lower bound (10%): In algorithms focused more on error correction or where other gates are more frequent. Upper bound (30%): In algorithms like Grover’s and Shor’s where the H gate plays a central role.

We will run the benchmark with range 5% to 40% with step size of 2.5%. That is 15 steps.

Benchmark assumptions

  1. initial condition is assumed to be state zero. If any other state is given then we can simply add X gates on corresponding qubits. But new_poly won't work in this case.