A nonadditive quantum code
量子物理
2009-01-23 v2
摘要
Up to now every good quantum error-correcting code discovered has had the structure of an eigenspace of an Abelian group generated by tensor products of Pauli matrices; such codes are known as stabilizer or additive codes. In this letter we present the first example of a code that is better than any code of this type. It encodes six states in five qubits and can correct the erasure of any single qubit.
引用
@article{arxiv.quant-ph/9703002,
title = {A nonadditive quantum code},
author = {Eric M. Rains and R. H. Hardin and Peter W. Shor and N. J. A. Sloane},
journal= {arXiv preprint arXiv:quant-ph/9703002},
year = {2009}
}
评论
2 pages, RevTeX. More information is available at http://www.research.att.com/~njas/doc/quant.html . Updated version includes an expanded introduction, and a more detailed discussion of the structure of the code