Ebook: Quantum Information with Continuous Variables

Quantum information may sound like science fiction but is, in fact, an active and extremely promising area of research, with a big dream: to build a quantum computer capable of solving problems that a classical computer could not even begin to handle. Research in quantum information science is now at an advanced enough stage for this dream to be credible and well-worth pursuing. It is, at the same time, too early to predict how quantum computers will be built, and what potential technologies will eventually strike gold in their ability to manipulate and process quantum information.

One direction that has reaped many successes in quantum information processing relies on continuous variables. This area is bustling with theoretical and experimental achievements, from continuous-variable teleportation, to in-principle demonstrations of universal computation and efficient error correction. Now the time has come to compile some of the major results into one volume. In this book the leading researchers of the field present up-to-date developments of continuous-variable quantum information. This book is organized to suit many reader levels with introductions to every topic and in-depth discussions of theoretical and experimental results.

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Quantum information may sound like science fiction but is, in fact, an active and extremely promising area of research, with a big dream: to build a quantum computer capable of solving problems that a classical computer could not even begin to handle. Research in quantum information science is now at an advanced enough stage for this dream to be credible and well-worth pursuing. It is, at the same time, too early to predict how quantum computers will be built, and what potential technologies will eventually strike gold in their ability to manipulate and process quantum information.

One direction that has reaped many successes in quantum information processing relies on continuous variables. This area is bustling with theoretical and experimental achievements, from continuous-variable teleportation, to in-principle demonstrations of universal computation and efficient error correction. Now the time has come to compile some of the major results into one volume. In this book the leading researchers of the field present up-to-date developments of continuous-variable quantum information. This book is organized to suit many reader levels with introductions to every topic and in-depth discussions of theoretical and experimental results.

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Quantum information may sound like science fiction but is, in fact, an active and extremely promising area of research, with a big dream: to build a quantum computer capable of solving problems that a classical computer could not even begin to handle. Research in quantum information science is now at an advanced enough stage for this dream to be credible and well-worth pursuing. It is, at the same time, too early to predict how quantum computers will be built, and what potential technologies will eventually strike gold in their ability to manipulate and process quantum information.

One direction that has reaped many successes in quantum information processing relies on continuous variables. This area is bustling with theoretical and experimental achievements, from continuous-variable teleportation, to in-principle demonstrations of universal computation and efficient error correction. Now the time has come to compile some of the major results into one volume. In this book the leading researchers of the field present up-to-date developments of continuous-variable quantum information. This book is organized to suit many reader levels with introductions to every topic and in-depth discussions of theoretical and experimental results.

Content:
Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Quantum Computing with Qubits....Pages 3-8
Quantum Computation Over Continuous Variables....Pages 9-17
Error Correction for Continuous Quantum Variables....Pages 19-29
Deutsch-Jozsa Algorithm for Continuous Variables....Pages 31-36
Hybrid Quantum Computing....Pages 37-45
Efficient Classical Simulation of Continuous Variable Quantum Information Processes....Pages 47-55
Front Matter....Pages 57-57
Introduction to Entanglement-Based Protocols....Pages 59-66
Teleportation of Continuous Quantum Variables....Pages 67-75
Experimental Realization of Continuous Variable Teleportation....Pages 77-93
Dense Coding for Continuous Variables....Pages 95-103
Multipartite Greenberger-Horne-Zeilinger Paradoxes for Continuous Variables....Pages 105-109
Multipartite Entanglement for Continuous Variables....Pages 111-143
Inseparability Criterion for Continuous Variable Systems....Pages 145-153
Separability Criterion for Gaussian States....Pages 155-172
Distillability and Entanglement Purification for Gaussian States....Pages 173-192
Entanglement Purification via Entanglement Swapping....Pages 193-209
Bound Entanglement for Continuous Variables is a Rare Phenomenon....Pages 211-228
Front Matter....Pages 229-229
Atomic Continuous Variable Processing and Light-Atoms Quantum Interface....Pages 231-265
Front Matter....Pages 267-267
Limitations on Discrete Quantum Information and Cryptography....Pages 269-276
Quantum Cloning with Continuous Variables....Pages 277-293
Front Matter....Pages 267-267
Quantum Key Distribution with Continuous Variables in Optics....Pages 295-316
Secure Quantum Key Distribution using Squeezed States....Pages 317-356
Experimental Demonstration of Quantum Dense Coding and Quantum Cryptography with Continuous Variables....Pages 357-378
Quantum Solitons in Optical Fibres: Basic Requisites for Experimental Quantum Communication....Pages 379-421
Back Matter....Pages 423-425

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Quantum information may sound like science fiction but is, in fact, an active and extremely promising area of research, with a big dream: to build a quantum computer capable of solving problems that a classical computer could not even begin to handle. Research in quantum information science is now at an advanced enough stage for this dream to be credible and well-worth pursuing. It is, at the same time, too early to predict how quantum computers will be built, and what potential technologies will eventually strike gold in their ability to manipulate and process quantum information.

One direction that has reaped many successes in quantum information processing relies on continuous variables. This area is bustling with theoretical and experimental achievements, from continuous-variable teleportation, to in-principle demonstrations of universal computation and efficient error correction. Now the time has come to compile some of the major results into one volume. In this book the leading researchers of the field present up-to-date developments of continuous-variable quantum information. This book is organized to suit many reader levels with introductions to every topic and in-depth discussions of theoretical and experimental results.

Content:
Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Quantum Computing with Qubits....Pages 3-8
Quantum Computation Over Continuous Variables....Pages 9-17
Error Correction for Continuous Quantum Variables....Pages 19-29
Deutsch-Jozsa Algorithm for Continuous Variables....Pages 31-36
Hybrid Quantum Computing....Pages 37-45
Efficient Classical Simulation of Continuous Variable Quantum Information Processes....Pages 47-55
Front Matter....Pages 57-57
Introduction to Entanglement-Based Protocols....Pages 59-66
Teleportation of Continuous Quantum Variables....Pages 67-75
Experimental Realization of Continuous Variable Teleportation....Pages 77-93
Dense Coding for Continuous Variables....Pages 95-103
Multipartite Greenberger-Horne-Zeilinger Paradoxes for Continuous Variables....Pages 105-109
Multipartite Entanglement for Continuous Variables....Pages 111-143
Inseparability Criterion for Continuous Variable Systems....Pages 145-153
Separability Criterion for Gaussian States....Pages 155-172
Distillability and Entanglement Purification for Gaussian States....Pages 173-192
Entanglement Purification via Entanglement Swapping....Pages 193-209
Bound Entanglement for Continuous Variables is a Rare Phenomenon....Pages 211-228
Front Matter....Pages 229-229
Atomic Continuous Variable Processing and Light-Atoms Quantum Interface....Pages 231-265
Front Matter....Pages 267-267
Limitations on Discrete Quantum Information and Cryptography....Pages 269-276
Quantum Cloning with Continuous Variables....Pages 277-293
Front Matter....Pages 267-267
Quantum Key Distribution with Continuous Variables in Optics....Pages 295-316
Secure Quantum Key Distribution using Squeezed States....Pages 317-356
Experimental Demonstration of Quantum Dense Coding and Quantum Cryptography with Continuous Variables....Pages 357-378
Quantum Solitons in Optical Fibres: Basic Requisites for Experimental Quantum Communication....Pages 379-421
Back Matter....Pages 423-425
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