'A Characterization of Entropy in Terms of Information Loss' - COMP 396 Undergraduate Research Project Application Form

Supervisor's Name: Prakash Panangaden

Supervisor's Email: prakash [at] cs.mcgill.ca

Supervisor's Phone:  514 398 7074

Supervisor's Website: http://www.cs.mcgill.ca/~prakash/

Supervisor's department: Computer Science

Course number: COMP 396 (Computer Science)

Term: Winter 2013-2014

Project start date: Monday, January 6, 2014

Project end date: Friday, April 11, 2014

Project title: A Characterization of Entropy in Terms of Information Loss

Project description (50-100 words suggested): We will start by studying basic information theory and quantum information theory. Towards the end of the project we apply category theory to information theory. We show that Shannon entropy gives the only concept of information loss that is functorial, convex-linear and continuous. Furthermore we will generalize this to Tsallis entropy.

Prerequisite: 1 term completed at McGill + CGPA of 3.0 or higher; or permission of instructor.

Grading scheme (The final report must be worth at least 50% of final grade): Final project 50% and Presentation 50%

Project status: This project is taken. The professor has no more '396' projects this term.

Ethics, safety, and training: Supervisors are responsible for the ethics and safety compliance of undergraduate students. This project involves NEITHER animal subjects, nor human subjects, nor biohazardous substances, nor radioactive materials, nor handling chemicals, nor using lasers.