PMATH 399 - Mathematics of quantum information
The goal of this course is to present the mathematical background needed for
more advanced topics in quantum information and computation, while using
quantum information as a lens to study a range of topics in advanced linear
algebra and elementary functional analysis. Topics to be covered include
finite-dimensional Hilbert spaces and states, positive operators and
measurements, unitary evolution, tensor products, quantum registers and quantum
gates, matrix algebras and matrix norms, completely positive maps and quantum
channels, dilation theorems, and entanglement and Bell inequalities.
Prereqs:
MATH 235 or MATH 245
MATH 247 or AMATH/PMATH 331 or PMATH 333