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Quantum synchronizable codes from the Whiteman’s generalized cyclotomy
Cryptography and Communications ( IF 1.4 ) Pub Date : 2021-06-22 , DOI: 10.1007/s12095-021-00501-2 Xiaoping Shi , Qin Yue , Xinmei Huang
中文翻译:
来自怀特曼广义分圆法的量子同步代码
更新日期:2021-06-22
Cryptography and Communications ( IF 1.4 ) Pub Date : 2021-06-22 , DOI: 10.1007/s12095-021-00501-2 Xiaoping Shi , Qin Yue , Xinmei Huang
Quantum synchronizable codes (QSCs) are special quantum error-correcting codes that can correct the effects of both quantum noise on qubits and misalignment in block synchronization. In this paper, using the factorizations of cyclotomic polynomials \({{\varPhi }}_{p_{1}p_{2}}(x)\), where p1 and p2 are distinct odd primes, we give a new method to construct QSCs whose synchronization capabilities can reach the best attainable tolerance against misalignment.
中文翻译:
来自怀特曼广义分圆法的量子同步代码
量子同步码 (QSC) 是一种特殊的量子纠错码,可以纠正量子噪声对量子比特的影响和块同步中的未对准。在本文中,使用分圆多项式\({{\varPhi }}_{p_{1}p_{2}}(x)\)的因式分解,其中p 1和p 2是不同的奇素数,我们给出了一个新的方法来构建同步能力可以达到最佳可达到的抗错位容差的 QSC。