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Quantum Synchronizable Codes From Cyclotomic Classes of Order Two over ℤ2q

2021/06/04 by Tao Wang, Wang, Tao, Tongjiang Yan +5
Computer Science · #Coding theory and cryptography #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #Information Theory (cs.IT) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum-Dot Cellular Automata

paper · pdf · doi:10.48550/arxiv.2106.02470

openalex publication_date 2021/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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. This paper contributes to constructing two classes of quantum synchronizable codes by the cyclotomic classes of order two over ℤ2q, whose synchronization capabilities can reach the upper bound under certain conditions. Moreover, the quantum synchronizable codes possess good error-correcting capability towards bit errors and phase errors.

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