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

Quantum Physics 2021-10-27 v1

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 2n2^n are constructed by using the cyclotomic cosets, whose synchronization capabilities always reach the upper bound 2n2^n.

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Cite

@article{arxiv.2110.13659,
  title  = {A class of quantum synchronizable codes of length $2^n$ over ${\rm F}_q$},
  author = {Shiwen Sun and Tongjiang Yan and Yuhua Sun and Tao Wang and Xueting Wang},
  journal= {arXiv preprint arXiv:2110.13659},
  year   = {2021}
}

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10 pages