Quantum error correction via codes over GF(4)
โ Scribed by Calderbank, A.R.; Rains, E.M.; Shor, P.M.; Sloane, N.J.A.
- Book ID
- 114541004
- Publisher
- IEEE
- Year
- 1998
- Tongue
- English
- Weight
- 772 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0018-9448
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๐ SIMILAR VOLUMES
A central problem in coding theory is that of finding the smallest length for which there exists a linear code of dimension k and minimum distance d, over a field of ~7 elements, We consider here the problem for quaternary codes (q=4), solving the problem for k< 3 for all values of d, and for k=4 fo
A general theory of quantum error avoiding codes is established, and new light is shed on the relation between quantum error avoiding and correcting codes. Quantum error avoiding codes are found to be a special type of completely degenerate quantum error correcting codes.