Remove usage of deprecated qiskit.execute function

[airwoodix]

The qiskit.execute was deprecated in Qiskit 0.46.0. See Qiskit/qiskit#7892 for the background discussion. Replacement is either backend.run(transpile(...), ...) or using the Sampler primitive.

[G3mha]

For those who have not yet identified an alternative to the execute() method in their code, the simplest solution to maintain your code operational is to downgrade qiskit's installation. This can be achieved by first uninstalling qiskit on pip, and then executing pip install qiskit==0.46.1. By doing so, you will still have access to the execute() method.