instructor  nicolas macris 
office  inr 134 
phone  +4121 6938114 
nicolas.macris@epfl.ch  
lectures  monday 8h1510h00, room BC 03 
Special announcements
No prerequisites in quantum mechanics and/or information theory are needed.
A draft of course notes will be updated weekly here draftDec14.pdf.
This is a 4 credit course. Exam form is oral.
Objectives
The support of information is material. Today one is able to manipulate matter at the nanoscale were quantum behavior becomes important. It is possible that ultimately information processing will have to take into account the laws of quantum physics. This course introduces the theoretical concepts and methods that have been developed in the last 25 years to take advantage of guenuine quantum resources. We will see how the concepts of bit, entropy, and Shannon’s theory are extended to the quantum domain. We will emphasize the role of entanglement which is a distinctly quantum feature. We will also see how useful quantum parallelism can be in the theory of quantum computation.
Outline: the course is divided in three parts

Introduction to quantum mechanics, Qbits and quantum cryptography.

Quantum information theory.

Quantum computation, and quantum error correcting codes.
A subset of the following topics will be treated in class.
Part 1: QM, Qbits, Cryptography  

Experiments with light, analyzers and polarizers  
Mathematical formalism of quantum mechanics  
Quantum key distribution protocols  
Quantum entanglement  
Part 2: Quantum Information Theory  
Density matrix formalism  
Quantum entropy  
Accessible information  
Source coding theorem  
Quantum channel models  
Channel capacity theorems  
Part 3: Computation and Error Correction  
Models of computation and DeutschJosza problem  
Hidden subgroup problem  
Period finding, Quantum Fourier Transform and Shor algorithm  
Search algorithm (Grover)  
Adiabatic quantum computation  
Quantum error correction 
Topics for oral presentations (January 24, 2019)
1) Security proof for BB84: Phys Rev Letters, 85, no 2, July 10 (2000) pp 441444 [Taken by Eleonora Testa]
2) QKD based on Bell’s theorem: A. K. Ekert, Phys. Rev. Lett. 67, 661 ~1991!. [Taken by Jun Wang]
3) Three party QKD: Physics Letters A 354 (2006) 67–70 [Taken by Mark Sutherland]
4) Strong subadditivity of entropy proof: Journal of Mathematical Physics 14, 1938 (1973) [Taken by Novak Kaluderovic]
5) Quantum source coding: Phys. Rev. A 51, 2738 – Published 1 April 1995 [Taken by Sichen Mi. Will present in afternoon]
6) Sending entanglement through noisy quantum channels: Physical Review A, vol 54, number 4 (1996) page 2614 – 2628
7) Grover’s algorithm. Chapter 12 from course notes. [Taken by Samuel Bosch. Will present after lunch]
8) Quantum error correction A: Chapter from Nielsen and Chuang (Shor’s code, Stabilizer formalism) [Taken by Giulia Meuli. Will present in the morning]
9) Quantum error correction B: Chapter from Nielsen and Chuang (Shor’s code, CalderbankSteaneShor CSS codes)
10) Adiabatic quantum computing A: Review of modern physics, vol 90, (2018) pp 0150021 — Section II on grover and Deutch Josza from adiabatic perspective. [Taken by Bruno Schmitt]
11) Adiabatic quantum computing A: Review of modern physics, vol 90, (2018) pp 0150021 — Section IV on universality and equivalence with circuit model.
12) Solving linear systems of equations (in special cases): Phys.Rev.Lett vol 103, 150502 (2009) [Taken by Jakab Tardos]
13) Quantum walks: arXiv:quantph/0403120 [Taken by Sadra Boreiri]
14) Quantum Amplitude Amplification and Estimation: arXiv:quantph/0005055 [Taken by Alexandre Carlier]
15) Quantum communication complexity [Taken by Garg Paritosh] :
https://homepages.cwi.nl/~rdewolf/qcommcompl.pdf
Papers

A collection of reprinted Communication Theory Laboratory, School of Computer and Communication Sciences, \'{E}cole Polytechnique F\'{e}d\'{e}rale de Lausanne (EPFL), Lausanne, CH1015, Switzerlandarticles can be found in Quantum computation and quantum information theory eds C. Macchiavello, G.M.Palma, A.Zeilinger world scientific (2000).

A review on quantum cryptography reviews of modern physics (2002)

Recent hacking of a QKD system based on BB84 nature comm (2011)
Books related to the lectures

A rather complete reference Quantum Computation and Quantum Information, by Michael A. Nielsen and Isaac L. Chuang, Cambridge University Press (2004).

A book that covers quantum computing An introduction to quantum computing, by Phillip Kaye, Raymond Laflamme and Michele Mosca, Oxford University Press (2007).

For an emphasis on computer science aspects Quantum computing, by Mika Hirvensalo, Springer Verlag (2001).
For a more physical introduction

A small pedagogic book A short introduction to quantum information and quantum computation, by Michel Le Bellac, Cambridge University Press (2006).
To learn quantum mechanics seriously

Quantum Mechanics by Albert Messiah, ed Dover (two volumes bound as one).

Feynman lectures on Physics, vol 3 by Richard P. Feynman, Robert B. Leighton, Matthew Sands (1998) Addison Wesley.