v0.13.0: chore: Remove Python 3.11 upper bound (#34)
## Description Updates qiskit to v0.44.2 and uses the recommended `qiskit-ibm-provider` package. ## Please verify that you have completed the following steps - [x] I have self-reviewed my code. - [x] I have included test cases validating introduced feature/fix. - [x] I have updated documentation.