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.

Table of Contents:
I Quantum Computing.- 1. Quantum computing with qubits.- 2. Quantum computation over continuous variables.- 3. Error correction for continuous quantum variables.- 4. Deutsch-Jozsa algorithm for continuous variables.- 5. Hybrid quantum computing.- 6. Efficient classical simulation of continuous variable quantum information processes.- II Quantum Entanglement.- 7. Introduction to entanglement-based protocols.- 8. Teleportation of continuous quantum variables.- 9. Experimental realization of continuous variable teleportation.- 10. Dense coding for continuous variables.- 11. Multipartite Greenberger-Horne-Zeilinger paradoxes for continuous variables.- 12. Multipartite entanglement for continuous variables.- 13. Inseparability criterion for continuous variable systems.- 14. Separability criterion for Gaussian states.- 15. Distillability and entanglement purification for Gaussian states.- 16. Entanglement purification via entanglement swapping.- 17. Bound entanglement for continuous variables is a rare phenomenon.- III Continuous Variable Optical-Atomic Interfacing.- 18. Atomic continuous variable processing and light-atoms quantum interface.- IV Limits on Quantum Information and Cryptography.- 19. Limitations on discrete quantum information and cryptography.- 20. Quantum cloning with continuous variables.- 21. Quantum key distribution with continuous variables in optics.- 22. Secure quantum key distribution using squeezed states.- 23. Experimental demonstration of dense coding and quantum cryptography with continuous variables.- 24. Quantum solitons in optical fibres: Basic requisites for experimental quantum communication.