SISSA Functional Analyisis Sector
Course Announcement,  Spring 2003
 

Controllability of Bilinear Quantum Systems


Lecturer:  Claudio Altafini 
  altafini@sissa.it
  ~altafini

Schedule

first class: February 11, 2003 at 14:30 in room L

Format

4-5 lectures, (1h30 each)

Tentative Course Outline



Bilinear control systems
  1. accessibility and controllability properties;
  2. bilinear systems and matrix transition Lie groups;
  3. structure of matrix Lie groups (homogeneous spaces, transitivity, lifting of vector fields, linear and affine structure) 
  4. Lie algebras (semisimpicity, Cartan criteria, structure theory);
  5. examples: rigid bodies on SO(3) and SE(3); 
Application: quantum bilinear control systems
  1. finite dimensional Schrodinger equation;
  2. quantum Markovian master equation;
  3. example: two level system