Add VQE primitive notebook

[jyotiraj-code]

This following PR solves the #34 issue for creating a basic tutorial to for running a VQE primitive with Classiq.

In this PR:

• A detailed comprehensive tutorial has been created which uses the VQE primitive and the parameters to estimate the minimal energy of the Hamiltonian Z+0.1X where Z and X are the Pauli operators, and the ansatz used is a simple RY gate
• Easy to understand mathematical background has been created to make the tutorial self sufficient
• The results for the minimal Hamiltonian energy has been compared with the analytical result to draw the accuracy

All the required guidelines and already provided has been used to create the tutorial and it follows the structure of the other tutorials present in the basic_examples folder.

It was a great opportunity to work on this issue :)

[review-notebook-app[bot]]

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[Nadav138]

Hello @jyotiraj-code!

The code looks good! We will further review it and approve it in accordance with the review.

[jyotiraj-code]

Hi again @Nadav138! Thanks for being such a help for this issue. If any changes are required from your side, I would be happy to work on them.