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.

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.

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

### Table of Content

PART I. CLASSICAL INFORMATION THEORYClassical 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

Gerd Leuchs studied physics and mathematics at the University of Cologne, Germany, and received his Ph.D. in 1978. After two years 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 University of Erlangen-Nuremberg, Germany. In 2009 he was a founding director of the Max Planck Institute for the Science of Light. He is visiting professor at the University of Ottawa. His fields of research span the range from modern aspects of classical optics to quantum optics and quantum information.

### About the author

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 became interested in quantum information. Another European 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 Heinrich-Heine-University Düsseldorf, Germany. Her research pertains to theoretical aspects of quantum information processing.Gerd Leuchs studied physics and mathematics at the University of Cologne, Germany, and received his Ph.D. in 1978. After two years 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 University of Erlangen-Nuremberg, Germany. In 2009 he was a founding director of the Max Planck Institute for the Science of Light. He is visiting professor at the University of Ottawa. His fields of research span the range from modern aspects of classical optics to quantum optics and quantum information.

Language

**English**● Format**EPUB**● Pages**872**● ISBN**9783527805792**● File size**33.7 MB**● Editor**Dagmar Bruß & Gerd Leuchs**● Publisher**Wiley-VCH Verlag GmbH & Co. KGaA**● Published**2019**● Downloadable**24 months**● Currency**EUR**● ID**6890974**● Copy protection**Adobe DRM**Requires a DRM capable ebook reader