Buch, Englisch, 116 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 201 g
Buch, Englisch, 116 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 201 g
Reihe: SpringerBriefs in Mathematics
ISBN: 978-3-031-06832-4
Verlag: Springer International Publishing
One possible approach to building a quantum computer is based on surface codes, operated as stabilizer codes. The surface codes evolved from Kitaev's toric codes, as a means to developing models for topological order by using qubits distributed on the surface of a toroid. A significant advantage of surface codes is their relative tolerance to local errors. A second approach is based on color codes, which are topological stabilizer codes defined on a tessellation with geometrically local stabilizer generators. This book provides basic geometric concepts, like surface geometry, hyperbolic geometry and tessellation, as well as basic algebraic concepts, like stabilizer formalism, for the construction of the most promising classes of quantum error-correcting codes such as surfaces codes and color codes.
The book is intended for senior undergraduate and graduate students in Electrical Engineering and Mathematics with an understanding of the basic concepts of linear algebra and quantum mechanics.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
- Mathematik | Informatik EDV | Informatik Technische Informatik Quantencomputer, DNA-Computing
- Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
Weitere Infos & Material
Introduction.- Review of Mathematical Concepts.- Topological Quantum Codes.- Color Codes.- The Interplay between Color Codes and Toric Codes.