1.

Record Nr.

UNINA9910409990303321

Autore

La Guardia Giuliano Gadioli

Titolo

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

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-48551-X

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (234 pages)

Collana

Quantum Science and Technology, , 2364-9054

Disciplina

006.3843

005.717

Soggetti

Quantum computers

Spintronics

Coding theory

Information theory

Electrical engineering

Quantum Information Technology, Spintronics

Quantum Computing

Coding and Information Theory

Communications Engineering, Networks

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.