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What are Eigenvalues and Eigenvectors?
Introduction to Quantum Computing
Eigenvalues and Eigenvectors
Eigenvalues / Eigenvectors
- eigenvalue is the factor that the "span" is stretched along the eigenvector
- the axis of rotation in 3D space
- the eigenvector that stays on its "span"
- think about the angle of rotation
- is easier to think of than staying with the coordinate system
- A is the transformation matrix
- λ (lambda) is a scaler
- Eigenbasis
References:
- Eigenvectors and Eigenvalues:
https://www.3blue1brown.com/lessons/eigenvalues - Eigenvectors and Eigenvalues:
https://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors - Basic Qiskit Syntax:
https://qiskit.org/textbook/ch-appendix/qiskit.html - Learn in Qiskit:
https://qiskit.org/learn/ - Qiskit:
https://qiskit.org - Qiskit Documentation:
https://qiskit.org/documentation/index.html