Brilliant
Vectors and Matrices
Vectors, matrices, transformations, and eigenvalues, as interactive problems. The linear algebra used to write gates and states.
Topic
Linear Algebra
1 course · 4 tutorials
Courses
Free Tutorials
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- beginner
- 25 min read
Linear Algebra for Quantum Computing: Vectors, Matrices, and Inner Products
Master the linear algebra underlying quantum computing: Dirac notation, inner products, tensor products, Hermitian and unitary matrices, eigenvalues, and partial trace, all with numpy examples.
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- beginner
- 20 min read
Quantum Gates as Matrices: The Linear Algebra Behind Quantum Computing
Understand quantum gates as 2x2 unitary matrices, see the explicit matrices for X, Y, Z, H, S, and T gates, and learn how matrix multiplication corresponds to running gates sequentially.
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- beginner
- 35 min
Linear Algebra for Quantum Computing
The essential linear algebra you need for quantum computing: vectors, matrices, tensor products, and inner products, explained with quantum computing in mind.
- →
- beginner
- 25 min
Bra-Ket Notation Explained
A practical guide to Dirac bra-ket notation as used in quantum computing: kets, bras, inner products, outer products, and how to read quantum circuit diagrams.