Shadows

[gzemlevskiy17]

PR Description

Implement a demo of the classical shadows algorithm.

I was unsure on how to use rebase or pre-commit.

Some notes

• Please make sure that the notebook runs successfully with the latest Classiq version.

• Please make sure that you placed the files in an appropriate folder

  • And that the file names are clear, descriptive, and match the notebook content.
    • Note that we require the file names of .ipynb and .qmod to be unique across this repository.
  • Plus, please make sure that all required files are included: .qmod, .synthesis_options.json, .metadata.json
  • And that images are embedded inside the notebook, not added as external files

• If applicable, please include link to the paper on which the notebook is based, in the notebook itself.

• Please use rebase on your branch (no merge commits)

• Please link this PR to the relevant issue

• Please make sure to run pre-commit when commiting changes

  • If you're using git in the terminal, make sure to install pre-commit via running pip install pre-commit followed by pre-commit install
    • More info at the pre-commit documentation
  • Note that Classiq runs automatic code linting. Meaning that one of the tests verifies the output of pre-commit.
  • Also note that pre-commit may minorly alter some files. Make sure to git add the changes done by pre-commit

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[TomerGoldfriend]

Thank you @gzemlevskiy17 for this PR! Please provide details in Markdown about the code so we can review it properly.

• Short introduction about what is implemented.
• Explain major code blocks, and how they are related to parts of the implementation.
• Add a snapshot of the quantum part from Classiq visualization.

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[TomerGoldfriend]

If you like, we have a function in our open-library that prepares a bell state. You can use it as well if you want.

https://github.com/Classiq/classiq-library/blob/main/functions/qmod_library_reference/classiq_open_library/special_state_preparations/prepare_bell_state.ipynb

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