This section focuses on the linear algebra that underlies all of quantum information, and the place where the notebook’s notational conventions — Dirac notation, inner-product convention, index placement — are fixed for reference.
Use the sequence below as the local map for this section.
Sequence
- 01. Vectors, Dirac Notation, and Hilbert Space
- 02. Linear Operators and Matrices
- 03. Inner Products, Adjoints, and Special Operators
- 04. Eigenvalues and the Spectral Theorem
- 05. Tensor Products
- 06. Trace, Commutators, and Operator Functions
- 07. Singular Value and Polar Decompositions
- 08. Numerical Linear Algebra and Matrix Computation