Fabio Benatti Bücher

This multi-authored textbook addresses graduate students with a background in physics, mathematics or computer science. No research experience is necessary. Consequently, rather than comprehensively reviewing the vast body of knowledge and literature gathered in the past twenty years, this book concentrates on a number of carefully selected aspects of quantum information theory and technology. Given the highly interdisciplinary nature of the subject, the multi-authored approach brings together different points of view from various renowned experts, providing a coherent picture of the subject matter. The book consists of ten chapters and includes examples, problems, and exercises. The first five present the mathematical tools required for a full comprehension of various aspects of quantum mechanics, classical information, and coding theory. Chapter 6 deals with the manipulation and transmission of information in the quantum realm. Chapters 7 and 8 discuss experimental implementations of quantum information ideas using photons and atoms. Finally, chapters 9 and 10 address ground-breaking applications in cryptography and computation.

The book explores the entropic approach to quantum dynamical systems, focusing on complexity within quantum dynamics. It draws comparisons with classical theories of ergodic, information, and algorithmic complexity, providing a comprehensive overview of how these concepts interrelate. This self-contained resource is ideal for those interested in the intricate connections between quantum mechanics and classical complexity theories.

The present volume in the Lecture Notes in Physics series was inspired by the “Conference on Irreversible Quantum Dynamics” held at The Abdus Salam International Center for Theoretical Physics in Trieste, Italy, from July 29 to August 2, 2002. This conference aimed to unite researchers interested in irreversibility and time asymmetry in quantum mechanics, fostering open discussions on various perspectives regarding quantum irreversibility and the methodologies for studying it. Key themes included: Theoretical Aspects of Quantum Irreversible Dynamics, Open Quantum Systems and Applications, Foundational Aspects of Irreversible Quantum Dynamics, and Asymmetric Time Evolution and Resonances. Each theme featured reviews by experts, along with shorter, research-focused talks. The topic of quantum irreversibility has long captivated interest, particularly regarding unstable systems and quantum measurement. Recent advancements in noise, dissipation, and open systems have been significantly influenced by the evolving fields of quantum communication and information theory. These developments motivated the editors to compile this volume, aiming to summarize the current research landscape and provide readers with an accessible and comprehensive introduction to the subject.