This topical review article gives an overview of the interplay between quantum information
theory and thermodynamics of quantum systems. We focus on several trending topics …

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

This book provides the reader with the mathematical framework required to fully explore the
potential of small quantum information processing devices. As decoherence will continue to …

The concept of quantum complexity has far-reaching implications spanning theoretical
computer science, quantum many-body physics, and high-energy physics. The quantum …

The classical shadows protocol, recently introduced by Huang, Kueng, and Preskill [Nat.
Phys. 16, 1050 (2020)], is a quantum-classical protocol to estimate properties of an unknown …

This thesis consolidates, improves and extends the smooth entropy framework for non-
asymptotic information theory and cryptography. We investigate the conditional min-and max …

Quantum randomness is an essential key to understanding the dynamics of complex many-
body systems and also a powerful tool for quantum engineering. However, exact realizations …

A unitary t-design is a powerful tool in quantum information science and fundamental
physics. Despite its usefulness, only approximate implementations were known for general t …

Demonstrating a quantum computational speed-up is a crucial milestone for near-term
quantum technology. Recently, sampling protocols for quantum simulators have been …

A natural measure for the amount of quantum information that a physical system E holds
about another system A= A 1,..., A n is given by the min-entropy H min (A| E). In particular …