Quantum Synchronizable Codes from Quaternary Cyclotomy over Z2n

Abstract

In this study, we construct a 4-order generalized cyclotomic overZ_2n, and obtained that the resulting codes are dual-containing cyclic codes and their augmented counterparts. Additionally, under some circumstances, this work helps to create two types of quantum synchronization capabilities that can achieve the upper limit. Furthermore, the quantum synchronizable codes have a strong capacity for error correction, both in terms of bit errors and phase errors.