| 书目名称 | Quantum Codes for Topological Quantum Computation | | 编辑 | Clarice Dias de Albuquerque,Eduardo Brandani da Si | | 视频video | | | 概述 | Offers a structured algebraic and geometric approach.Describes quantum codes in detail using a step-by-step approach.Presents key concepts in linear algebra, algebraic topology, hyperbolic geometry, g | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | 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 | | 出版日期 | Book 2022 | | 关键词 | topological quantum codes; surface geometry; hyperbolic geometry; fault-tolerance; surface codes; color c | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-06833-1 | | isbn_softcover | 978-3-031-06832-4 | | isbn_ebook | 978-3-031-06833-1Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2022 |
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发表于 2025-3-21 19:55:36
