Quantum Synchronizable Codes From Cyclotomic Classes of Order Two over $\mathbb{Z}_{2q}$
Information Theory
2021-07-08 v2 Cryptography and Security
math.IT
Abstract
Quantum synchronizable codes are kinds of quantum error-correcting codes that can not only correct the effects of quantum noise on qubits but also the misalignment in block synchronization. This paper contributes to constructing two classes of quantum synchronizable codes by the cyclotomic classes of order two over , whose synchronization capabilities can reach the upper bound under certain conditions. Moreover, the quantum synchronizable codes possess good error-correcting capability towards bit errors and phase errors.
Cite
@article{arxiv.2106.02470,
title = {Quantum Synchronizable Codes From Cyclotomic Classes of Order Two over $\mathbb{Z}_{2q}$},
author = {Tao Wang and Tongjiang Yan and Vladimir Sidorenko and Xueting Wang},
journal= {arXiv preprint arXiv:2106.02470},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2105.03619