I tried to do almost a million transformations on a qubit.
I made a three qubit circuit with equal superposition of |0> and |1> (using Hadamard gate) and on the first qubit (qubit 0), added one Hadamard gate followed by two CZ gates with control inputs as qubit 1 and qubit 1. The same pattern is repeated and tried to make almost 0.9M transformations (gate count or depth) on the first qubit.
It simulated successfully and also I tried on the quantum hardware too. It ran successfully on the hardware too. Both give me equi-probable results for the qubits which had equal superposition of |0> and |1> after measurement.
I am wondering if you could help me with the correctness of my result. Whether the result I am getting in both cases are correct or not ? If not what is/are the reason/s for them to be incorrect ?
Miniature schematic of the circuit is added. H,CZ,CZ are repeated on qubit 0 as a long chain of gates and measurement is done at the end.
Looking forward to learn more.
Thanks, Arun