Quantum Information with Continuous Variables

By: Samuel L. Braunstein, Arun K. Pati, S. L. Braunstein (Editor)

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Hardcover | 30 April 2003

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440 Pages

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23.5 x 15.88 x 2.54

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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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Preface	p. xi
About the Editors	p. xiii
Quantum Computing
Quantum computing with qubits	p. 3
Quantum computation over continuous variables	p. 9
Error correction for continuous quantum variables	p. 19
Deutsch-Jozsa algorithm for continuous variables	p. 31
Hybrid quantum computing	p. 37
Efficient classical simulation of continuous variable quantum information processes	p. 47
Quantum Entanglement
Introduction to entanglement-based protocols	p. 59
Teleportation of continuous quantum variables	p. 67
Experimental realization of continuous variable teleportation	p. 77
Dense coding for continuous variables	p. 95
Multipartite Greenberger-Horne-Zeilinger paradoxes for continuous variables	p. 105
Multipartite entanglement for continuous variables	p. 111
Inseparability criterion for continuous variable systems	p. 145
Separability criterion for Gaussian states	p. 155
Distillability and entanglement purification for Gaussian states	p. 173
Entanglement purification via entanglement swapping	p. 193
Bound entanglement for continuous variables is a rare phenomenon	p. 211
Continuous Variable Optical-Atomic Interfacing
Atomic continuous variable processing and light-atoms quantum interface	p. 231
Limits on Quantum Information and Cryptography
Limitations on discrete quantum information and cryptography	p. 269
Quantum cloning with continuous variables	p. 277
Quantum key distribution with continuous variables in optics	p. 295
Secure quantum key distribution using squeezed states	p. 317
Experimental demonstration of dense coding and quantum cryptography with continuous variables	p. 357
Quantum solitons in optical fibres: basic requisites for experimental quantum communication	p. 379
Index	p. 423
Table of Contents provided by Ingram. All Rights Reserved.

Quantum Information with Continuous Variables

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Hardcover

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