Focus on the mathematical treatment of a broad range of topics in quantum Shannon theory. Topics include quantum states, quantum channels, quantum measurements, completely positive maps, Neumarkís theorem, Stinespring dilation theorem, Choi-Jamiolkowski isomorphism, the theory of majorization and entanglement, the Peres-Horodecki criterion for separability, Shannon¿s noiseless and noisy channel coding theorems, Lieb¿s theorem and the strong subadditivity of the von Neumann entropy, Schumacher¿s quantum noiseless channel coding theorem, and the Holevo-Schumacher-Westmoreland theorem.
This course may not be repeated for credit.

Sections

This course will be offered next in Winter 2018.