Approximate quantum error correction can lead to better codes
量子物理
2008-12-18 v1
摘要
We present relaxed criteria for quantum error correction which are useful when the specific dominant noise process is known. These criteria have no classical analogue. As an example, we provide a four-bit code which corrects for a single amplitude damping error. This code violates the usual Hamming bound calculated for a Pauli description of the error process, and does not fit into the GF(4) classification.
引用
@article{arxiv.quant-ph/9704002,
title = {Approximate quantum error correction can lead to better codes},
author = {D. W. Leung and M. A. Nielsen and I. L. Chuang and Y. Yamamoto},
journal= {arXiv preprint arXiv:quant-ph/9704002},
year = {2008}
}
备注
7 pages, 2 figures, submitted to Phys. Rev. A