Kangqiao LIU · Graduate lecture companion

Advanced Quantum Mechanics

An interactive path from quantum states to topology and quantum machine learning.

Interactive investigations · Nine chapters

Catch up

Make amplitudes, matrices and measurements intuitive with short experiments.

Reconstruct

Connect classroom derivations to predictions and measurable quantities.

Explore further

Inspect limits, approximations, topology and trainable quantum models.

Nine chapters · Physical investigations

Explore a physical question, make a prediction, and test it against quantitative results. Each experiment includes derivations, model assumptions and questions for independent study.

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Featured investigations are shown first. Use the collection filter to find introductory exercises, all interactive experiments or guided reading.