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

Lecture	Dates (July 2021)	Topic
1-3	12, 13	Introduction [pdf]
4-8	13, 14, 15	Linear algebra review [pdf]
9	pre-recorded	Linear algebra with python [ipynb]
10-11	pre-recorded	Probability theory review [pdf]
12-13	16	Qubits. The Bloch sphere [pdf]
14-15	pre-recorded	Unitary evolution. Quantum measurements [pdf]
16-19	19, 20	Tensor products. Entanglement. Schmidt decomposition [pdf]
20-21	pre-recorded	No-cloning theorem. Quantum teleportation. Superdense coding [pdf]
22-23	pre-recorded	Quantum circuits. Qiskit quantum programming language
24-25	pre-recorded	Quantum algorithms: Deutsch, Deutsch-Josza, and Grover
26	pre-recorded	Grover’s algorithm with Qiskit
27-29	22	Quantum channels. Open quantum systems [pdf]
30-32	23	Classical and quantum entropy. Quantum data compression [pdf]