A class of quantum synchronizable codes of length $2^n$ over ${\rm F}_q$
- URL: http://arxiv.org/abs/2110.13659v1
- Date: Mon, 25 Oct 2021 08:54:10 GMT
- Title: A class of quantum synchronizable codes of length $2^n$ over ${\rm F}_q$
- Authors: Shiwen Sun, Tongjiang Yan, Yuhua Sun, Tao Wang, Xueting Wang
- Abstract summary: 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 $2n$ are constructed by using the cyclotomic cosets, whose synchronization capabilities always reach the upper bound $2n$.
- Score: 10.077987533569596
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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