Create a basic tutorial for running a VQE primitive with Classiq

[EdenSchirmanClassiq]

The variational quantum eigensolver (VQE) is arguably the most common variational quantum algorithm. As every other quantum algorithm, it can be done easily with Classiq. The goal of this issue is to demonstrate this.

You should create a Jupyter Notebook that implements the same basic VQE algorithm that is demonstrated in this video from the Classiq Bootcamp 2023. NOTE this video follows an old version of Classiq that is not supported anymore, but the idea behind it remains the same.

Concretely, your algorithm should find the minimal energy of the Hamiltonian Z+0.1X where Z and X are the Pauli operators, and the ansatz you should use is a simple RY gate.

You can use theexplanation about the Classiq primitives in the user guide for your help. In addition, feel free to use the Classiq Slack community for any question and help.

In order to complete the issue follow the contribution guidelines and enter your adapted notebook to the directory classiq-library/community/basic_examples/vqe.

Happy quantum coding!

[18001-spec]

Hi, can this task be assigned to me ?

[shubhusion]

@TannerTorrey3 Documentation link mentioned is not working.

[AbdullahKazi500]

closed the PR

[jyotiraj-code]

Hi @EdenSchirmanClassiq ! I have released a PR #129 which solves this issue.

In this PR:

• A detailed comprehensive tutorial has been created which uses the VQE primitive and its 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.