Approximate quantum error correction can lead to better codes
Quantum Physics
2008-12-18 v1
Abstract
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.
Cite
@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}
}
Comments
7 pages, 2 figures, submitted to Phys. Rev. A