Quantum Renyi relative entropies and their use

Abstract

The quantum Rényi entropies are a one-parameter family of information measures that generalizes the well-known von Neumann entropy. This family of entropies has played a prominent role in quantum information theory, finding applications in entanglement theory, cryptography, thermodynamics, and many other research areas. More recently, these entropies have found applications in the study of quantum algorithms and complexity theory.

In this talk, I will provide an introduction to quantum Rényi entropies and discuss some of their key properties and applications. I will also present recent results on related measures, including the α-z-Rényi relative entropies. Time permitting, I will discuss some open questions and directions for future research in this area.

Bio

Mark M. Wilde is a Professor in the School of Electrical Engineering and Computer Science at Louisiana State University. He received the Ph.D. degree in electrical engineering from the University of Southern California in 2008. From January 2009 to December 2010, he was a Claude Shannon Research Fellow at the School of Computer Science, McGill University.

He is the author of the textbook “Quantum Information Theory” (Cambridge University Press, 2013, 2017), and his current research interests include quantum information theory, quantum cryptography, and quantum error correction. He received the NSF CAREER Award in 2016.