We are trying to implement an algorithm which uses Amplitude estimation as one of its subroutines. Now we are pretty sure that the algorithm is working, like we have done testing of the algorithm by simply measuring out the circuit and obtaining the respective amplitudes. But for the actual final results we want to run this with amplitude estimation.
Now adding the amplitude estimation actually increases the depth of the circuit exponentially, due to which it is taking forever to run the code(not exactly sure about the metric but it is unfeasible at the moment), earlier it was taking time to make control of the circuit too, but we have been able to circumvent that issue.
Now, here is my main question- we have access to a small sized hpc, but we are not sure how to parallelize the code and run it using that. As far as I am familiar hpc's run code in parallel, but one quantum circuit can not be parallelized across multiple nodes. So the best we can do is go one quantum circuit per node, which is I think done by this qiskit's method which we are currently trying to use. But we are facing some problems with that too!!
Is there any simpler and more direct method to use HPC's for qiskit. P.S I am new to using HPC's so bear with my basic question. Thanks !!!