Introduction to Quantum Computing
Linear Algebra is the branch of mathematics concerning linear equations, linear maps, and their representations in vector spaces and through matrices.
- linear equation: an equation in the form:
- a1x1 + ... + anxn + b = 0
- where x1 ... xn are the variables (or unknowns)
- b, a1 ... an are the coefficients
- a1x1 + ... + anxn + b = 0
Linear Algebra Tutorial: The topics covered in this tutorial include:
- Vectors and Vector Spaces
- Matrices and Matrix Operations
- Spanning Sets, Linear Dependence, and Bases
- Hilbert Spaces, Orthonormality, and the Inner Product
- Outer Products and Tensor Products
- Eigenvectors and Eigenvalues
- Matrix Exponentials
References:
- Linear Algebra:
https://en.wikipedia.org/wiki/Linear_algebra - Linear Algebra Tutorial:
https://qiskit.org/textbook/ch-appendix/linear_algebra.html - Basic Qiskit Syntax:
https://qiskit.org/textbook/ch-appendix/qiskit.html - Learn in Qiskit:
https://qiskit.org/learn/ - Qiskit:
https://qiskit.org