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arXiv · 2106.02470

Quantum Synchronizable Codes From Cyclotomic Classes of Order Two over $\mathbb{Z}_{2q}$

Tao Wang·Tongjiang Yan·Vladimir Sidorenko·Xueting Wang
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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 $\mathbb{Z}_{2q}$, 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.

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Tao Wang, Tongjiang Yan, Vladimir Sidorenko, Xueting Wang. 2021-06-04. Quantum Synchronizable Codes From Cyclotomic Classes of Order Two over $\mathbb{Z}_{2q}$. https://arxiv.org/abs/2106.02470

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