# Mathematical aspects of Quantum Information and Computation

This is the website for the course taught online in 2021 for the *SWU Global Immersion Program*.

## Course material

- Linear algebra review – Introduction to Linear and Matrix Algebra and Advanced Linear and Matrix Algebra by Nathaniel Johnston (see
*Supplementary material*section for lecture notes and problem sheets) - Maleki, Do – A review of probability theory
- Michael Walter and Maris Ozols – Quantum information theory
- The Qiskit Textbook
- Practice exercises [pdf]

## Lectures

- Introduction [pdf]
- Linear algebra review [pdf] Linear algebra with python [ipynb]
- Probability theory review [pdf]
- Qubits. The Bloch sphere [pdf]
- Unitary evolution. Quantum measurements [pdf]
- Tensor products. Entanglement. Schmidt decomposition [pdf]
- No-cloning theorem. Quantum teleportation. Superdense coding [pdf]
- Quantum circuits. Qiskit quantum programming language
- Quantum algorithms: Deutsch, Deutsch-Josza, and Grover
- Grover’s algorithm with Qiskit
- Quantum channels. Open quantum systems [pdf]
- Classical and quantum entropy. Quantum data compression [pdf]