PMATH 343 - Introduction to the Mathematics of Quantum Information

Finite dimensional Hilbert spaces. Unitary operators and evolution of closed systems. Hermitian and positive operators, observables, measurements, and the uncertainty principle. Tensor products, entanglement, and Bell inequalities. Superdense coding, teleportation, and the no-cloning theorem. Ensembles of states, density matrices, and the partial trace. Quantum channels, the Choi-Jamiolkowski isomorphism, and the Choi-Krauss representation. Purification and distance between states.