Published July 1998
| Submitted + Published
Journal Article
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Quantum error correction via codes over GF(4)
Abstract
The problem of finding quantum error correcting codes is transformed into the problem 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.
Additional Information
© 1998 IEEE. Manuscript received July 15, 1996; revised December 4, 1997. The work of E. M. Rains was performed while he was with the Institute for Defense Analyses, Princeton, NJ USA. The material in this paper was presented in part at the IEEE International Symposium on Information Theory, Ulm, Germany, 1997. The authors wish to thank Aaron Gulliver for finding the quasicyclic codes mentioned in Section V, and our colleague Ronald H. Hardin for his contributions to our search for interesting nonadditive codes. We also thank Patrick Solé for drawing our attention to the work of B. Runge and G. Höhn.Attached Files
Published - 00681315.pdf
Submitted - 9608006.pdf
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- CaltechAUTHORS:20170925-160358492
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