Quantum Zero-Error Information Theory

This book aims at presenting the field of Quantum Information Theory in an intuitive, didactic and self-contained way, taking into account several multidisciplinary aspects. Therefore, this books is particularly suited to students and researchers willing to grasp fundamental concepts in Quantum Computation and Quantum Information areas. The field of Quantum Information Theory has increased significantly over the last three decades. Many results from classical information theory were translated and extended to a scenario where quantum effects become important. Most of the results in this area allows for an asymptotically small probability of error to represent and transmit information efficiently. Claude E.Shannon was the first scientist to realize that error-free classical information transmission can be accomplished under certain conditions. More recently, the concept of error-free classical communication was translated to the quantum context. The so-called Quantum Zero-Error Information Theory completes and extends the Shannon Zero-Error Information Theory.

This book presents several background concepts for beginners as well as recent developments in this area Multidisciplinary concepts explained in a didactic and intuitive way First time concepts of Quantum Information Theory are presented in book form Applications to cryptography and coding theory Includes supplementary material: sn.pub/extras

Inhalt
Introduction.- Fundamentals of Quantum Information Processing.- Fundamentals of Information Theory.- Classical Zero-Error Information Theory.- Zero-Error Capacity of Quantum Channels.- Zero-Error Secrecy Capacity.- Zero-Error Accessible Information of a Quantum Source.- Recent Developments in Quantum Zero-Error Information Theory.