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