Suggested feature

Here is what I get from python -Ximporttime test.py with this file:

import qiskit_experiments

• 4.9 sec total import time
• 1.2 sec to import lmfit (which is mostly importing scipy and matplotlib)
• 0.7 sec to import qiskit_ibm_experiment (which is mostly pandas, and a little requests and requests_ntlm)
• 0.7 sec to import qiskit (0.16 for numpy, the rest mostly internal)
• 0.6 sec to import qiskit-ibm-runtime (half internal, with 0.07 for pydantic, 0.07 for qiskit_aer, and 0.17 for ibm_platform_services and ibm_cloud_sdk_core)
• 0.86 for cvxpy

While I think it is hard to avoid importing qiskit and qiskit-ibm-runtime and also hard to import lmfit (even doing that scipy and matplotlib would probably get imported elsewhere) and so not worth deferring them, I think it should be pretty easy to delay importing cvxpy. qiskit-ibm-experiment is already covered in #1599 but even so we'd probably end up importing pandas and requests any way.