Quantum Error Correction

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Cambridge University Press, 9/12/2013EAN 9780521897877, ISBN10: 0521897874Hardcover, 688 pages, 24.9 x 18 x 4.4 cmLanguage: EnglishQuantum computation and information is one of the most exciting developments in science and technology of the last twenty years. To achieve large scale quantum computers and communication networks it is essential not only to overcome noise in stored quantum information, but also in general faulty quantum operations. Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. This comprehensive text, written by leading experts in the field, focuses on quantum error correction and thoroughly covers the theory as well as experimental and practical issues. The book is not limited to a single approach, but reviews many different methods to control quantum errors, including topological codes, dynamical decoupling and decoherence-free subspaces. Basic subjects as well as advanced theory and a survey of topics from cutting-edge research make this book invaluable both as a pedagogical introduction at the graduate level and as a reference for experts in quantum information science.ProloguePrefacePart I. Background1. Introduction to decoherence and noise in open quantum systems Daniel Lidar and Todd Brun2. Introduction to quantum error correction Dave Bacon3. Introduction to decoherence-free subspaces and noiseless subsystems Daniel Lidar4. Introduction to quantum dynamical decoupling Lorenza Viola5. Introduction to quantum fault tolerance Panos AliferisPart II. Generalized Approaches to Quantum Error Correction6. Operator quantum error correction David Kribs and David Poulin7. Entanglement-assisted quantum error-correcting codes Todd Brun and Min-Hsiu Hsieh8. Continuous-time quantum error correction Ognyan OreshkovPart III. Advanced Quantum Codes9. Quantum convolutional codes Mark Wilde10. Non-additive quantum codes Markus Grassl and Martin Rötteler11. Iterative quantum coding systems David Poulin12. Algebraic quantum coding theory Andreas Klappenecker13. Optimization-based quantum error correction Andrew FletcherPart IV. Advanced Dynamical Decoupling14. High order dynamical decoupling Zhen-Yu Wang and Ren-Bao Liu15. Combinatorial approaches to dynamical decoupling Martin Rötteler and Pawel WocjanPart V. Alternative Quantum Computation Approaches16. Holonomic quantum computation Paolo Zanardi17. Fault tolerance for holonomic quantum computation Ognyan Oreshkov, Todd Brun and Daniel Lidar18. Fault tolerant measurement-based quantum computing Debbie LeungPart VI. Topological Methods19. Topological codes Héctor Bombín20. Fault tolerant topological cluster state quantum computing Austin Fowler and Kovid GoyalPart VII. Applications and Implementations21. Experimental quantum error correction Dave Bacon22. Experimental dynamical decoupling Lorenza Viola23. Architectures Jacob Taylor24. Error correction in quantum communication Mark WildePart VIII. Critical Evaluation of Fault Tolerance25. Hamiltonian methods in QEC and fault tolerance Eduardo Novais, Eduardo Mucciolo and Harold Baranger26. Critique of fault-tolerant quantum information processing Robert AlickiReferencesIndex. Show more