PHY 4105: Quantum Information Theory
(Varsha 2013)
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.Probabilities and Classical Information Theory
•Lecture 1 - Probabilities (lecture1.pdf) 02 August 2013
•Lecture 2 - Laws of large numbers (lecture2.pdf) 06 August 2013
•Lecture 3 - Classical Information Theory 1 (lecture3.pdf) 08 August 2013
•Lecture 4 - Classical Information Theory 2 (lecture4.pdf) 13 August 2013
★Assignment 1 (Problem Set 1.pdf) Due 23-August-2013
•Lecture 5 - Classical Information Theory 3 (lecture5.pdf) 16 August 2013
2.Brief review of quantum mechanics
•Lecture 6 - Quantum states (lecture6.pdf) 22 August 2013
•Lecture 7 - Linear operators (lecture7.pdf) 23 August 2013
★Assignment 2 (Problem Set 2.pdf) Due 3-September-2013
3.Qubits
•Lecture 8 - Qubits (lecture8.pdf) 27 August 2013
•Lecture 9 - Qubits: Dynamics (lecture9.pdf) 28 August 2013
4.Mixed states and multiple quantum systems
•Lecture 10 - Mixed States (lecture10.pdf) 5 September 2013
•Lecture 11 - Multiple quantum systems (lecture11.pdf) 10 September 2013
•Lecture 12 - The partial trace (lecture12.pdf) 13 September 2013
•Lecture 13 - Two qubit entangled states (lecture13.pdf) 17 September 2013
•Lecture 14 - CHSH-Bell inequality (lecture14.pdf) 19 September 2013
•lecture 15 - Quantum teleportation (lecture15.pdf) 24 September 2013
★Tutorial 1 (Problems_Sept27.pdf) 27 September 2013
5.Quantum measurements and open quantum dynamics
•Lecture 16 - Stern Gerlach measurement (Lecture16.pdf) 1 October 2013
•Lecture 17 - Measurement models (lecture17.pdf) 3 October 2013
•Lecture 18 - VonNeumann measurements in measurement model (lecture18.pdf) 8 October 2013
•Lecture 19 - Dynamical maps (lecture19.pdf) 10 October 2013
•Lecture 20 - Single qubit operations (lecture20.pdf) 15 October 2013
6.The quantum circuit model
•Lecture 21 - Single qubit gates (lecture21.pdf) 22 October 2013
•Lecture 22 - Circuit Identities (lecture22.pdf) 29 October 2013
•Lecture 23 - Useful Circuits (lecture23.pdf) 4 November 2013
•Lecture 24 - Deutsch-Jozsa Algorithm (lecture24.pdf) 7 November 2013
7.Quantum information theory
•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.Assignments - 10%
2.Mid Term Exam 1 (Week Starting September 2) - 20%
3.Mid Term Exam 2 (Week Starting October 14) - 20%
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.