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]