Codes for the Quantum Erasure Channel
Quantum Physics
2009-10-30 v2
Abstract
The quantum erasure channel (QEC) is considered. Codes for the QEC have to correct for erasures, i. e., arbitrary errors at known positions. We show that four qubits are necessary and sufficient to encode one qubit and correct one erasure, in contrast to five qubits for unknown positions. Moreover, a family of quantum codes for the QEC, the quantum BCH codes, that can be efficiently decoded is introduced.
Cite
@article{arxiv.quant-ph/9610042,
title = {Codes for the Quantum Erasure Channel},
author = {Markus Grassl and Thomas Beth and Thomas Pellizzari},
journal= {arXiv preprint arXiv:quant-ph/9610042},
year = {2009}
}
Comments
6 pages, RevTeX, no figures, submitted to Physical Review A, code extended to encode 2 qubits, references added