Springerbriefs in mathematics quantum codes for topological quantum computation

Rubriek: Textual/Printed/Reference Materials - Boek

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Uiterlijk 28 januari in huis

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.

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Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 05 augustus 2022

Aantal pagina's: 116

Hoofdauteur: Clarice Dias De Albuquerque

Tweede Auteur: Eduardo Brandani Da Silva

Hoofduitgeverij: Springer International Publishing Ag

Editie: 1st ed. 2022

Product breedte: 155 mm

Product lengte: 235 mm

Studieboek: Nee

Verpakking breedte: 155 mm

Verpakking hoogte: 235 mm

Verpakking lengte: 235 mm

Verpakkingsgewicht: 203 g

EAN: 9783031068324

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