Quantum error correction via codes over GF(4)
Publication
, Journal Article
Calderbank, AR; Rains, EM; Shor, PW; Sloane, NJA
Published in: IEEE International Symposium on Information Theory Proceedings
December 1, 1997
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.
Duke Scholars
Published In
IEEE International Symposium on Information Theory Proceedings
DOI
ISSN
2157-8095
Publication Date
December 1, 1997
Start / End Page
292
Citation
APA
Chicago
ICMJE
MLA
NLM
Calderbank, A. R., Rains, E. M., Shor, P. W., & Sloane, N. J. A. (1997). Quantum error correction via codes over GF(4). IEEE International Symposium on Information Theory Proceedings, 292. https://doi.org/10.1109/ISIT.1997.613213
Calderbank, A. R., E. M. Rains, P. W. Shor, and N. J. A. Sloane. “Quantum error correction via codes over GF(4).” IEEE International Symposium on Information Theory Proceedings, December 1, 1997, 292. https://doi.org/10.1109/ISIT.1997.613213.
Calderbank AR, Rains EM, Shor PW, Sloane NJA. Quantum error correction via codes over GF(4). IEEE International Symposium on Information Theory Proceedings. 1997 Dec 1;292.
Calderbank, A. R., et al. “Quantum error correction via codes over GF(4).” IEEE International Symposium on Information Theory Proceedings, Dec. 1997, p. 292. Scopus, doi:10.1109/ISIT.1997.613213.
Calderbank AR, Rains EM, Shor PW, Sloane NJA. Quantum error correction via codes over GF(4). IEEE International Symposium on Information Theory Proceedings. 1997 Dec 1;292.
Published In
IEEE International Symposium on Information Theory Proceedings
DOI
ISSN
2157-8095
Publication Date
December 1, 1997
Start / End Page
292