Quantum Information: From Foundations to Quantum Technology Applications 2 Volume Set

This comprehensive textbook on the rapidly advancing field introduces readers to the fundamental concepts of information theory and quantum entanglement, taking into account the current state of research and development. It thus covers all current concepts in quantum computing, both theoretical and experimental, before moving on to the latest implementations of quantum computing and communication protocols. It contains problems and exercises and is therefore ideally suited for students and lecturers in physics and informatics, as well as experimental and theoretical physicists in academia and industry who work in the field of quantum information processing.

The second edition incorporates important recent developments such as quantum metrology, quantum correlations beyond entanglement, and advances in quantum computing with solid state devices.

PART I. CLASSICAL INFORMATION THEORY

Classical Information Theory and Classical Error Correction
Computational Complexity

PART II. FOUNDATIONS OF QUANTUM INFORMATION THEORY

Discrete Quantum States Versus Continuous Variables
Approximate Quantum Cloning
Channels and Maps
Quantum Algorithms
Quantum Error Correction

PART III. THEORY OF ENTANGLEMENT

The Separability Versus Entanglement Problem
Quantum Correlations Beyond Entanglement
Entanglement Theory with Continuous Variables
Entanglement Measures
Purification and Distillation
Bound Entanglement
Multiparticle Entanglement

PART IV. QUANTUM COMMUNICATION

Quantum Teleportation
Theory of Quantum Key Distribution (QKD)
Quantum Communication Experiments with Discrete Variables
Continuous Variable Quantum Communication

PART V. QUANTUM COMPUTING: CONCEPTS

Requirements for a Quantum Computer
Probabilistic Quantum Computation and Linear Optical Realizations
One–Way Quantum Computation
Holonomic Quantum Computation

PART VI. QUANTUM COMPUTING: IMPLEMENTATIONS

Quantum Computing with Cold Ions and Atoms: Theory
Quantum Computing Experiments with Cold Trapped Ions
Quantum Computing with Solid State Systems
Superconducting Quantum Circuits
Integrated Wave Guide Quantum Information Processing
Quantum Computing Implemented Via Optimal Control: Theory and Application to Spin and Pseudo–Spin Systems

PART VII. QUANTUM INTERFACES AND MEMORIES

Quantum Interfaces and Memories: Single Atoms in Free Space
Quantum Interfaces and Memories: CQED
Quantum Interfaces and Memories: Atomic Ensembles
Quantum Interfaces and Memories: Solid State Ensembles
Quantum Repeater
Quantum Interface Between Light and Atomic Ensembles
Quantum Electrodynamics of a Qubit

PART VIII. TOWARDS QUANTUM TECHNOLOGY APPLICATIONS: QUANTUM METROLOGY

Quantum Interferometry
Quantum Clocks
Quantum Imaging

Dagmar Bruß graduated at RWTH University Aachen, Germany, and received her PhD in theoretical particle physics from the University of Heidelberg in 1994. As a research fellow at the University of Oxford she started to work in quantum information theory. Another fellowship at ISI Torino, Italy, followed. While being a research assistant at the University of Hannover she completed her habilitation. Since 2004 Professor Bruß has been holding a chair at the Institute of Theoretical Physics at the Heinrich–Heine–University Düsseldorf, Germany.

Gerd Leuchs studied physics and mathematics at the University of Cologne, Germany, and received his Ph.D. in 1978. After two research visits at the University of Colorado in Boulder, USA, he headed the German gravitational wave detection group from 1985 to 1989. He became technical director at Nanomach AG in Switzerland. Since 1994 Professor Leuchs has been holding the chair for optics at the Friedrich–Alexander–University of Erlangen–Nuremberg, Germany. His fields of research span the range from modern aspects of classical optics to quantum optics and quantum information. Since 2003 he has been Director of the Max Planck Research Group for Optics, Information and Photonics at Erlangen.