PHY 4105: Quantum Information Theory

(Varsha 2013)

 

This is not a course on quantum computation! That will come later on. The objective of the course is to explore the interesting interface between the well established fields of information theory and good old quantum mechanics. Some of the seminal results in quantum information theory and the mathematical techniques involved will be covered.

The course assumes that you have had at least two courses in quantum mechanics and is familiar with the Hilbert space formulation, state vectors, operators etc. The quantum mechanics involved is in a sense basic but you should be able to “think like a quantum object” by the end of the course.


Course information


Instructor   :    Anil Shaji

                       IISER Thiruvananthapuram


email         :    shaji@iisertvm.ac.in


Lectures    :    Tue, Thu, Fri 11:30 to 12:30


Textbook   :    Quantum Computation and Quantum Information by

                       M A Nielsen and I Chuang

                       Quantum Information and Computation by J Preskill


Also See    :   Carl Caves’ course on quantum information

Syllabus

  1. 1.Probabilities and Classical Information Theory

  2. •Lecture 1 - Probabilities (lecture1.pdf) 02 August 2013

  3. •Lecture 2 - Laws of large numbers (lecture2.pdf) 06 August 2013

  4. •Lecture 3 - Classical Information Theory 1 (lecture3.pdf) 08 August 2013

  5. •Lecture 4 - Classical Information Theory 2 (lecture4.pdf) 13 August 2013

  6. ★Assignment 1 (Problem Set 1.pdf) Due 23-August-2013

  7. •Lecture 5 - Classical Information Theory 3 (lecture5.pdf) 16 August 2013

  8. 2.Brief review of quantum mechanics

  9. •Lecture 6 - Quantum states (lecture6.pdf) 22 August 2013

  10. •Lecture 7 - Linear operators (lecture7.pdf) 23 August 2013

  11. ★Assignment 2 (Problem Set 2.pdf) Due 3-September-2013

  12. 3.Qubits

  13. •Lecture 8 - Qubits (lecture8.pdf) 27 August 2013

  14. •Lecture 9 - Qubits: Dynamics (lecture9.pdf) 28 August 2013

  15. 4.Mixed states and multiple quantum systems

  16. •Lecture 10 - Mixed States (lecture10.pdf) 5 September 2013

  17. •Lecture 11 - Multiple quantum systems (lecture11.pdf) 10 September 2013

  18. •Lecture 12 - The partial trace (lecture12.pdf) 13 September 2013

  19. •Lecture 13 - Two qubit entangled states (lecture13.pdf) 17 September 2013

  20. •Lecture 14 - CHSH-Bell inequality (lecture14.pdf) 19 September 2013

  21. •lecture 15 - Quantum teleportation (lecture15.pdf) 24 September 2013

  22. ★Tutorial 1 (Problems_Sept27.pdf) 27 September 2013

  23. 5.Quantum measurements and open quantum dynamics

  24. •Lecture 16 - Stern Gerlach measurement (Lecture16.pdf) 1 October 2013

  25. •Lecture 17 - Measurement models (lecture17.pdf) 3 October 2013

  26. •Lecture 18 - VonNeumann measurements in measurement model (lecture18.pdf) 8 October 2013

  27. •Lecture 19 - Dynamical maps (lecture19.pdf) 10 October 2013

  28. •Lecture 20 - Single qubit operations (lecture20.pdf) 15 October 2013

  29. 6.The quantum circuit model

  30. •Lecture 21 - Single qubit gates (lecture21.pdf) 22 October 2013

  31. •Lecture 22 - Circuit Identities (lecture22.pdf) 29 October 2013

  32. •Lecture 23 - Useful Circuits (lecture23.pdf) 4 November 2013

  33. •Lecture 24 - Deutsch-Jozsa Algorithm (lecture24.pdf) 7 November 2013

  34. 7.Quantum information theory

  35. •Lecture 25 - Quantum entropies (lecture25.pdf) 8 November 2013

Announcement (11-Oct-2013) Final examination date: 23-Nov-2013 (9:30 am to 12:30 am)


Announcement: (13-Sep-2013) Proposed date of second mid sem - 05 October 2013


Announcement: (20-Aug-2013) Proposed date of first mid sem - 03 September 2013


Announcement: (2-Aug-2013) All students attending the lectures at Bhopal, Pune and Trivandrum please send me an email at shaji@iisertvm.ac.in with the subject line

“I am crediting/auditing PHY 4105”

Grading

  1. 1.Assignments - 10%

  2. 2.Mid Term Exam 1 (Week Starting September 2) - 20%

  3. 3.Mid Term Exam 2 (Week Starting October 14)   - 20%

  4. 4.FInal Examination (Between Nov 18th and Dec 1) - 50%

Teaching Assistant

                Mr. Vinayak Jagdish

                email: vinayak@iisertvm.ac.in

                Hours (for local students only): Contact via email.