Quantum Error Correction
Cambridge University Press, 9/12/2013
EAN 9780521897877, ISBN10: 0521897874
Hardcover, 688 pages, 24.9 x 18 x 4.4 cm
Language: English
Quantum 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.
Prologue
Preface
Part I. Background
1. Introduction to decoherence and noise in open quantum systems Daniel Lidar and Todd Brun
2. Introduction to quantum error correction Dave Bacon
3. Introduction to decoherence-free subspaces and noiseless subsystems Daniel Lidar
4. Introduction to quantum dynamical decoupling Lorenza Viola
5. Introduction to quantum fault tolerance Panos Aliferis
Part II. Generalized Approaches to Quantum Error Correction
6. Operator quantum error correction David Kribs and David Poulin
7. Entanglement-assisted quantum error-correcting codes Todd Brun and Min-Hsiu Hsieh
8. Continuous-time quantum error correction Ognyan Oreshkov
Part III. Advanced Quantum Codes
9. Quantum convolutional codes Mark Wilde
10. Non-additive quantum codes Markus Grassl and Martin Rötteler
11. Iterative quantum coding systems David Poulin
12. Algebraic quantum coding theory Andreas Klappenecker
13. Optimization-based quantum error correction Andrew Fletcher
Part IV. Advanced Dynamical Decoupling
14. High order dynamical decoupling Zhen-Yu Wang and Ren-Bao Liu
15. Combinatorial approaches to dynamical decoupling Martin Rötteler and Pawel Wocjan
Part V. Alternative Quantum Computation Approaches
16. Holonomic quantum computation Paolo Zanardi
17. Fault tolerance for holonomic quantum computation Ognyan Oreshkov, Todd Brun and Daniel Lidar
18. Fault tolerant measurement-based quantum computing Debbie Leung
Part VI. Topological Methods
19. Topological codes Héctor BombÃÂn
20. Fault tolerant topological cluster state quantum computing Austin Fowler and Kovid Goyal
Part VII. Applications and Implementations
21. Experimental quantum error correction Dave Bacon
22. Experimental dynamical decoupling Lorenza Viola
23. Architectures Jacob Taylor
24. Error correction in quantum communication Mark Wilde
Part VIII. Critical Evaluation of Fault Tolerance
25. Hamiltonian methods in QEC and fault tolerance Eduardo Novais, Eduardo Mucciolo and Harold Baranger
26. Critique of fault-tolerant quantum information processing Robert Alicki
References
Index.