| Dewey Class |
006.3843 |
| 530.12 |
| Title |
Quantum Codes for Topological Quantum Computation ( EBook/) / by Clarice Dias de Albuquerque, Eduardo Brandani da Silva, Waldir Silva Soares Jr. |
| Author |
Albuquerque, Clarice Dias de |
| Added Personal Name |
Silva, Eduardo Brandani da |
| Soares Jr., Waldir Silva |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2022. |
| Publication |
Cham : : Springer International Publishing : : Imprint: Springer, , 2022. |
| Physical Details |
VIII, 116 p. 30 illus., 19 illus. in color. : online resource. |
| Series |
SpringerBriefs in Mathematics 2191-8201 |
| ISBN |
9783031068331 |
| Summary Note |
This book offers a structured algebraic and geometric approach to the classification and construction of quantum codes for topological quantum computation. It combines key concepts in linear algebra, algebraic topology, hyperbolic geometry, group theory, quantum mechanics, and classical and quantum coding theory to help readers understand and develop quantum codes for topological quantum computation. 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.: |
| Contents note |
Introduction -- Review of Mathematical Concepts -- Topological Quantum Codes -- Color Codes -- The Interplay between Color Codes and Toric Codes. |
| Mode of acces to digital resource |
Digital reproduction.- |
| Cham : |
| Springer International Publishing, |
| 2022. - |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-3-031-06833-1 |
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