These are some notes for the three lectures I have given at the Quantum Information Theory and Free Probability conference at NYU Abu Dhabi in January 2024.

Hand-written notes [pdf]

1. Introduction to quantum information theory
   I will introduce the basic notions of quantum information theory, drawing parallels and emphasizing differences with the classical information theory of Shannon [pdf].
2. Quantum channels
   I will present the different equivalent characterizations of quantum channels [pdf].
3. Classical capacity of quantum channels
   I will introduce the quantities appearing in the Holevo-Schumacher-Westmoreland formula for the classical capacity of quantum channels, such as the accessible information and the Holevo quantity [pdf].

Bibliography

• Wilde, Mark M. – Quantum information theory – Cambridge University Press, 2017
• Watrous, John – The Theory of Quantum Information – Cambridge University Press, 2018
• Aubrun, Guillaume, Szarek, Stanisław J. – Alice and Bob Meet Banach: The Interface of Asymptotic Geometric Analysis and Quantum Information Theory – American Mathematical Soc., Vol. 223, 2017
• Nielsen, Michael A., Chuang, Isaac L. – Quantum computation and quantum information – Cambridge University Press, 2010