Quantum Error Correction

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2020
Fachbereich:	Fertigungstechnik
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiii 227 S.
ISBN-13:	9783030485504
ISBN-10:	3030485501
Sprache:	Englisch
Einband:	Gebunden
Autor:	La Guardia, Giuliano Gadioli
Auflage:	1st edition 2020
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 19 mm
Von/Mit:	Giuliano Gadioli La Guardia
Erscheinungsdatum:	26.06.2020
Gewicht:	0,535 kg

Artikel-ID: 118244967