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Computer Science > Cryptography and Security

arXiv:2105.03619 (cs)
[Submitted on 8 May 2021]

Title:Quantum Synchronizable Codes on Sextic Cyclotomy

Authors:Tao Wang, Tongjiang Yan, 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. In this paper, the quantum synchronizable codes constructed are CSS quantum error-correcting codes whose synchronization capabilities reach the upper bound. And we use cyclic codes gained by sextic cyclotomic classes to construct two classes of quantum synchronizable codes. Moreover, the quantum synchronizable codes are posses good error-correcting capability towards bit error and phase error, since the cyclic codes we used are optimal or almost optimal.
Comments: Quantum Synchronizable, Sextic cyclotomy, Cyclic code
Subjects: Cryptography and Security (cs.CR)
Cite as: arXiv:2105.03619 [cs.CR]
  (or arXiv:2105.03619v1 [cs.CR] for this version)
  https://doi.org/10.48550/arXiv.2105.03619

Submission history

From: Tao Wang [view email]
[v1] Sat, 8 May 2021 07:45:36 UTC (80 KB)
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