Quantum error correction via codes over GF(4)

Journal Article

The unreasonable effectiveness of quantum computing is founded on coherent quantum superposition or entanglement which allows a large number of calculations to be performed simultaneously. This coherence is lost as a quantum system interacts with its environment. In the present paper the problem of finding quantum-error-correcting codes is transformed into one of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits. © 1997 IEEE.

Full Text

Duke Authors

Cited Authors

  • Calderbank, AR; Rains, EM; Shor, PW; Sloane, NJA

Published Date

  • December 1, 1997

Published In

Start / End Page

  • 292 -

International Standard Serial Number (ISSN)

  • 2157-8095

Digital Object Identifier (DOI)

  • 10.1109/ISIT.1997.613213

Citation Source

  • Scopus