Topics in Quantum Information Theory

Quantum information theory takes the classical Shannon picture — states, channels, entropy, codes — and rebuilds it on a Hilbert-space foundation where superposition and entanglement change what "information" even means. You'll work through density operators and CPTP maps, prove things about fidelity and trace distance, build up stabilizer codes like Shor and CSS, and finish by actually proving BB84 secure rather than just sketching it. The course leans on linear algebra and a comfort with probability/information theory; it's the natural bridge between an abstract math background and research-level quantum computing, cryptography, or the theoretical side of CS 476-style courses.