Fix inner product equation in notation.md

[synchromesh]

Pull Request Description

While reading the most excellent handbook I noticed an error in the equation for the inner product of the bra and ket vectors. The "u bar" vector was written as "v" and the two vectors were transposed. This PR fixes this.

Documentation Updates

The equation should now be correct.

• I have read and followed the documentation contribution guidelines.
• My changes adhere to the project's documentation style guide.
• I have tested the documentation changes to ensure accuracy and completeness.
• All links, references, and cross-references are valid and functional.
• I have used proper formatting and markdown syntax.
• Any code examples provided are correct, well-commented, and relevant.
• I have updated the table of contents or navigation structure if necessary.

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[Winter-Soren]

Awesome!
Thank you @synchromesh

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Project	Deployment	Preview	Comments	Updated (UTC)
quantum-ml-handbook	Ready	Preview	Comment	Oct 10, 2025 7:04am