Quantum Error-Control Codes
Martianus Frederic Ezerman
TL;DR
This paper surveys quantum error control, especially stabilizer codes, highlighting how classical coding techniques are used to develop effective quantum error correction methods.
Contribution
It provides a comprehensive overview of quantum stabilizer codes and their construction from classical codes, serving as an educational resource.
Findings
Explains the use of classical codes in quantum code design
Highlights the importance of stabilizer codes in quantum error correction
Provides foundational knowledge for further research in quantum coding
Abstract
The article surveys quantum error control, focusing on quantum stabilizer codes, stressing on the how to use classical codes to design good quantum codes. It is to appear as a book chapter in "A Concise Encyclopedia of Coding Theory," edited by C. Huffman, P. Sole and J-L Kim, to be published by CRC Press.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum-Dot Cellular Automata