# Lecture notes on Quantum Information Theory

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]

**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].**Quantum channels**

I will present the different equivalent characterizations of quantum channels [pdf].**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, StanisÅ‚aw 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

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