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Quantum Error-Correcting Codes

  • Giuliano Gadioli La GuardiaEmail author
Chapter
  • 36 Downloads
Part of the Quantum Science and Technology book series (QST)

Abstract

In this chapter we introduce the concept of quantum error-correcting codes and show several examples chronologically. This chapter is fundamental for the development of this work, since the main aim of this book is to present several types of different constructions of quantum block and convolutional codes, as well as constructions of asymmetric quantum codes.

Keywords

No-cloning theorem Bit flip channel Phase flip channel The Shor code The Steane code The five-qubit code Stabilizer codes Calderbank–Shor–Steane Construction 

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsPonta Grossa State UniversityPonta GrossaBrazil

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