Quantum Information Theory

"Finally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject 'from the ground up' it covers classical results as well as major advances of the past decade. Beginning with an extensive overview of classical information theory suitable for the non-expert, the author then turns his attention to quantum mechanics for quantum information theory, and the important protocols of teleportation, super-dense coding and entanglement distribution. He develops all of the tools necessary for understanding important results in quantum information theory, including capacity theorems for classical, entanglement-assisted, private and quantum communication. The book also covers important recent developments such as superadditivity of private, coherent and Holevo information, and the superactivation of quantum capacity. This book will be warmly welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists"-- Provided by publisher Cover 1 Contents 7 How To Use This Book 13 Acknowledgments 16 Part I Introduction 19 1 Concepts in Quantum Shannon Theory 21 2 Classical Shannon Theory 44 Part II The Quantum Theory 69 3 The Noiseless Quantum Theory 71 4 The Noisy Quantum Theory 115 5 The Purified Quantum Theory 159 Part III Unit Quantum Protocols 175 6 Three Unit Quantum Protocols 177 7 Coherent Protocols 199 8 The Unit Resource Capacity Region 209 Part IV Tools of Quantum Shannon Theory 219 9 Distance Measures 221 10 Classical Information and Entropy 250 11 Quantum Information and Entropy 270 12 The Information of Quantum Channels 310 13 Classical Typicality 345 14 Quantum Typicality 382 15 The Packing Lemma 406 16 The Covering Lemma 419 Part V Noiseless Quantum Shannon Theory 433 17 Schumacher Compression 435 18 Entanglement Concentration 447 Part VI Noisy Quantum Shannon Theory 465 19 Classical Communication 469 20 Entanglement-Assisted Classical Communication 495 21 Coherent Communication with Noisy Resources 526 22 Private Classical Communication 550 23 Quantum Communication 568 24 Trading Resources for Communication 603 25 Summary and Outlook 636 Appendix A: Miscellaneous Mathematics 644 Appendix B: Monotonicity of Quantum Relative Entropy 651 References 657 Index 671 "Finally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject 'from the ground up' it covers classical results as well as major advances of the past decade. Beginning with an extensive overview of classical information theory suitable for the non-expert, the author then turns his attention to quantum mechanics for quantum information theory, and the important protocols of teleportation, super-dense coding and entanglement distribution. He develops all of the tools necessary for understanding important results in quantum information theory, including capacity theorems for classical, entanglement-assisted, private and quantum communication. The book also covers important recent developments such as superadditivity of private, coherent and Holevo information, and the superactivation of quantum capacity. This book will be warmly welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists"--Résumé de l'éditeur "Finally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject 'from the ground up' it covers classical results as well as major advances of the past decade. Beginning with an extensive overview of classical information theory suitable for the non-expert, the author then turns his attention to quantum mechanics for quantum information theory, and the important protocols of teleportation, super-dense coding and entanglement distribution. He develops all of the tools necessary for understanding important results in quantum information theory, including capacity theorems for classical, entanglement-assisted, private and quantum communication. The book also covers important recent developments such as superadditivity of private, coherent and Holevo information, and the superactivation of quantum capacity. This book will be warmly welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists"-- Editorial Un panda ou une geisha ? Une rue marocaine ou une plage thalandaise ? Dcouvrez, au fil des pages, 50 coloriages mystres indits. Grce aux codes couleurs, dmlez les entrelacs des lignes, appliquez chaque nuance dans la zone correspondante et rvlez les dessins reprsents. Dtendez-vous et retrouvez le plaisir de crer... tout instant.