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

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 $2^n$.

10 pages

References in corpus (1)

• Block synchronization for quantum information