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Quantum Codes for Topological Quantum Computation

Name: Quantum Codes for Topological Quantum Computation
Brand: Springer International Publishing AG
SKU: 39121932
Price: 29.65 EUR
Availability: InStock
Author: Clarice Dias de Albuquerque
ISBN: 9783031068324

Clarice Dias de Albuquerque

Eduardo Brandani da Silva

Waldir Soares

Língua

Inglês

Livro Capa mole

Código Libristo: 39121932

Editoras Springer International Publishing AG, agosto 2022

This book offers a structured algebraic and geometric approach to the classification and constructio... Descrição completa

Código Libristo: 39121932

72 b

29.65 €

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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.