General information 
Course unit name: Quantum Information Theory
Course unit code: 574636
Academic year: 20212022
Coordinator: Bruno Julia Diaz
Department: Department of Quantum Physics and Astrophysics
Credits: 6
Single program: S
Estimated learning time 
Total number of hours 150 
Facetoface and/or online activities 
48 
 Lecture 
Facetoface and online 
32 

 Lecture with practical component 
Facetoface and online 
16 
Independent learning 
102 
Recommendations 

Learning objectives 
Referring to knowledge

Teaching blocks 
1. Principles of quantum information
*
Quantum formalism revisited: Hilbert spaces and linear algebra. Dirac notation.
Description of quantum states. The qubit.
Quantum theory of measurement.
Ensemble of quantum states and density matrix formalism. Purification
2. Quantum protocols, algorithms and channels
*
Quantum maps, quantum channels and quantum instruments.
Quantum channels: examples and applications.
Quantum protocols/algorithms: DeutchJozsa, Grover, Fourier.
3. Entanglement theory
*
Composite quantum systems. Basics concepts on entanglement.
Using entanglement: dense coding and quantum teleportation.
Entanglement in mixed states: measures and uses.
Nonlocality and Bell inequalities.
4. Classical entropy and information
*
Entropy, conditional entropy and joint entropy.
Fano’s inequality
Mutual information, conditional mutual information and relative entropy.
Markov chains and data processing inequality.
Shannon Channel coding theorem.
5. Quantum entropy and information
*
Quantum entropy and joint entropy.
Conditional quantum entropy and coherent information.
Quantum mutual information and conditional quantum mutual information.
Quantum data processing inequality.
Trace norm, trace distance and fidelity. The AFW inequality.
6. Classical communication over quantum channels
*
Accessible information.
The information of quantum channels.
The HolevoSchumacherWestmoreland theorem.
Quantum Capacity examples
Teaching methods and general organization 

Official assessment of learning outcomes 
Examinationbased assessment Final exam covering all the contents of the course 
Reading and study resources 
Consulteu la disponibilitat a CERCABIB
Book
Mark M. Wilde. Quantum Information Theory, Second Edition. Cambridge University Press 2017.
Thomas Cover and Joy A. Thomas, Elements of Information Theory, Second Edition. Willey 2006.
Abbas El Gamal and YoungHan Kim. Network Information Theory. Cambridge University Press 2011.
Matthieu Bloch and Joao Barros. PhysicalLayer Security. Cambridge University Press 2011.
Article
Peter W. Shor and John Preskill. Simple Proof of Security of the BB84 Quantum Key Distribution Protocol. Phys. Rev. Lett 85, 441.
Web page
Preskill lectures on Quantum Information (on the web)
John Watrous notes on Quantum Information