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Quantum Error Correction: Symmetric, Asymmetric, Synchronizable, and Convolutional Codes de Giuliano Gadioli La Guardia

Quantum Error Correction: Symmetric, Asymmetric, Synchronizable, and Convolutional Codes: Quantum Science and Technology

Autor Giuliano Gadioli La Guardia
en Limba Engleză Paperback – 26 iun 2021
This text presents an algebraic approach to the construction of several important families of quantum codes derived from classical codes by applying the well-known Calderbank-Shor-Steane (CSS), Hermitian, and Steane enlargement constructions to certain classes of classical codes. In addition, the book presents families of asymmetric quantum codes with good parameters and provides a detailed description of the procedures adopted to construct families of asymmetric quantum convolutional codes.
Featuring accessible language and clear explanations, the book is suitable for use in advanced undergraduate and graduate courses as well as for self-guided study and reference. It provides an expert introduction to algebraic techniques of code construction and, because all of the constructions are performed algebraically, it enables the reader to construct families of codes, rather than only codes with specific parameters. The text offers an abundance of worked examples, exercises, andopen-ended problems to motivate the reader to further investigate this rich area of inquiry. End-of-chapter summaries and a glossary of key terms allow for easy review and reference.
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Specificații

ISBN-13: 9783030485535
ISBN-10: 3030485536
Pagini: 227
Ilustrații: XIII, 227 p.
Dimensiuni: 155 x 235 mm
Greutate: 0.35 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Quantum Science and Technology

Locul publicării:Cham, Switzerland

Cuprins

1 Introduction to Quantum Mechanics.- 2 Introduction to Quantum Computation and Information.- 3 Quantum Error-Correcting Codes.- 4 Quantum Code Construction.- 5 Asymmetric Quantum Code Construction.- 6 Quantum Convolutional Code Construction.- Index.

Notă biografică

Giuliano G. La Guardia received a Master's degree in pure mathematics in 1998 and a PhD in electrical engineering in 2008, both from the State University of Campinas (UNICAMP), São Paulo, Brazil. Since 1999 he has been with the Department of Mathematics and Statistics at the State University of Ponta Grossa, where he is an Associate Professor. His research areas include quantum and classical coding theory, matroid theory, category theory and dynamical systems theory.

Textul de pe ultima copertă

This text presents an algebraic approach to the construction of several important families of quantum codes derived from classical codes by applying the well-known Calderbank-Shor-Steane (CSS) construction, the Hermitian, and the Steane’s enlargement construction to certain classes of classical codes. These quantum codes have good parameters and have been introduced recently in the literature. In addition, the book presents families of asymmetric quantum codes with good parameters and provides a detailed description of the procedures adopted to construct families of asymmetric quantum convolutional codes.
Featuring accessible language and clear explanations, the book is suitable for use in advanced undergraduate and graduate courses as well as for self-guided study and reference. It provides an expert introduction to algebraic techniques of code construction and, because all of the constructions are performed algebraically, it equips the reader to construct families of codes, rather than only codes with specific parameters. The text offers an abundance of worked examples, exercises, and open-ended problems to motivate the reader to further investigate this rich area of inquiry. End-of-chapter summaries and a glossary of key terms allow for easy review and reference.

Caracteristici

Offers clear, accessible explanations and a range of engaging exercises Equips students to undertake novel work in the field, while honing their capacity for abstract thinking Incorporates recent contributions to the field, balancing pedagogical elements with cutting-edge techniques