ICE seminar: « Continuity bounds for quantum entropies… »
AbstractQuantum information theory seeks to understand how information can be stored, processed, and transmitted using quantum systems. Central to this framework are entropic quantities, which measure information and underlie many fundamental limits of communication and computation. In particular, entropies play a key role in characterising the capacities of quantum communication channels, namely the highest rates at which they can transmit information reliably.
In theoretical and practical settings alike, quantum states are often known only approximately. This raises a natural question: how sensitive are entropic quantities to small perturbations of the underlying states? Continuity bounds for entropies provide quantitative answers to this question. Beyond their intrinsic mathematical interest, they have become a powerful tool for establishing robustness guarantees and deriving bounds on communication rates.
In this talk, I will introduce the basic notions of quantum information and quantum communication, highlighting their connections with classical information theory. I will then discuss continuity bounds for classical and quantum entropies, with an emphasis on recent developments, applications, and open problems.
Bio
Michael G. Jabbour received the PhD degree in Engineering Sciences and Technology from the École polytechnique de Bruxelles in 2018. Between 2018 and 2024, he was a postdoctoral fellow at the Department of Applied Mathematics and Theoretical Physics of the University of Cambridge, the Physics Department of the Technical University of Denmark, and the Centre for Quantum Information and Communication of the École polytechnique de Bruxelles. He is currently an associate professor in the CITI department at Télécom SudParis. His research interests lie in quantum information theory, theoretical quantum optics, and mathematical physics.