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arXiv · 2110.13659

A class of quantum synchronizable codes of length $2^n$ over ${\rm F}_q$

Shiwen Sun·Tongjiang Yan·Yuhua Sun·Tao Wang·Xueting Wang
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Abstract

Quantum synchronizable codes (QSCs) are special quantum error-correcting codes which can be used to correct the effects of quantum noise on qubits and misalignment in block synchronization. In this paper, a new class of quantum synchronizable codes of length $2^n$ are constructed by using the cyclotomic cosets, whose synchronization capabilities always reach the upper bound $2^n$.

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Shiwen Sun, Tongjiang Yan, Yuhua Sun, Tao Wang, Xueting Wang. 2021-10-25. A class of quantum synchronizable codes of length $2^n$ over ${\rm F}_q$. https://arxiv.org/abs/2110.13659

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