Add Pauli Product dialect (QEC)

[dime10]

@sengthai We can use this as the target of our Pauli product passes. (feel free to adjust if the need arises)

[sc-82892]

[github-actions]

Hello. You may have forgotten to update the changelog!
Please edit doc/releases/changelog-dev.md on your branch with:

• A one-to-two sentence description of the change. You may include a small working example for new features.
• A link back to this PR.
• Your name (or GitHub username) in the contributors section.

[sengthai]

Thanks @dime10 for this implementation. Since I've already modified in this branch #1499 regarding to array attribute of string, you will see the changes in that branch instead.