Decoherence, dissipation as well as characterizing and understanding
noise and interaction with the environments for delicate quantum
systems are still considered the major obstacles to realize a
practical quantum computer and other applications in quantum
information processing. In this course, we will address these
important issues and discuss means to protect quantum information
against possible noise as well as decoherence and relaxation. We will
also discuss quantum measurement theory as well as issues in
information entropy and entanglement.

Contents:
1. The density matrix operator and ensembles of quantum states
2. The reduced desity operator and partial trace
3. Schmidt decomposition and purification
4. Quantum noise and quantum operations
5. Quantum error correction and stabilizer codes
6. Fault-tolerant quantum computation
7. Quantum measurement theory and quantum trajectories
8. Entropy and information
9. Entanglement distillation and dilution