AN INTRODUCTION TO QUANTUM CHANNELS
and QUANTUM OPERATIONS
RYAN SWEKE
Quantum Research Group, School of Chemistry and Physics, UKZN
Date: Monday, 27TH January 2014 to Friday, 31st January 2014
Time: 14h00 – 16h30
Venue: NITheP Seminar Room, 3rd Level, H-Block, Westville Campus
Quantum Channels provide the most general framework for the consideration of quantum information processing, and the mathematical foundations for the study of many dynamical aspects of open quantum systems – such as convergence properties, stability and fixed points. In this series we will introduce the notion of a quantum channel and proceed to survey a collection of important results, with direct application to both quantum information processing and open quantum systems. A background in both linear algebra and quantum mechanics is required.
Lecture 1: (A) Constructing Quantum Mechanics – Observables, States and Evolution. (B) An Introduction to the Algebraic Framework.
Lecture 2: (A) Representations of Quantum Channels.
Lecture 3: (A) Spectral Properties of Quantum Channels. (B) Irreducible Quantum Channels.
Lecture 4: (A) Primitive Quantum Channels. (B) Fixed Points of Quantum Channels.
Lecture 5: Quantum Dynamical Semigroups – Their Representations, Fixed Points and Convergence properties.