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Quantum information processing, a vibrant field of research at the intersection of physics, mathematics and computer science, has seen tremendous progress over the last couple of years, both with respect to the experimental realization of stable qubits (the quantum analog to bits in conventional computing) and the fundamental understanding, development and implementation of quantum-based algorithms. Consequently, proof-of-concept studies have unambiguously shown that quantum computers are possible and have the potential to dramatically exceed the capabilities of today´s conventional computers.

This comprehensive handbook on the rapidly advancing field presents the foundations of quantum information, taking into account the current state of research and development, and the emerging and already realized applications in quantum technology. 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 is a must-have for experimental and theoretical physicists in academia and industry as well as for materials scientists, engineers and computer scientists who work in the field of quantum information.

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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 - discord
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
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
Principles of Quantum Systems ? Theory
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
Echo Based Quantum Memory
Quantum Repeater
Quantum Interface Between Light and Atomic Ensembles
A Qubit in a cavity ? Theory
PART VIII. TOWARDS QUANTUM TECHNOLOGY APPLICATIONS: QUANTUM METROLOGY
Quantum Interferometry
Quantum Logic Spectroscopy and Optical Clocks
Frequency/Time highly Entangled Multimode Quantum States

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