Work

Generalized concatenated quantum codes

Year: 2009

Type: article

Abstract: We discuss the concept of generalized concatenated quantum codes. This generalized concatenation method provides a systematical way for constructing good quantum codes, both stabilizer codes and nonadditive codes. Using this method, we construct families of single-error-correcting nonadditive quantum codes, in both binary and nonbinary cases, which not only outperform any stabilizer codes for finite block length but also asymptotically meet the quantum Hamming bound for large block length.

Source: Physical Review A

DOI: 10.1103/physreva.79.050306

Authors: Markus Grassl, Peter Shor, Graeme Smith, John Smolin, Bei Zeng

Institutions: Austrian Academy of Sciences, Institute for Quantum Optics and Quantum Information Innsbruck, Massachusetts Institute of Technology, IBM Research - Thomas J. Watson Research Center

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2082000686

FWCI: 5.421

Cites: 10

Cited by: 46

Related to: 10