最优量子局部可恢复代码的两个系列

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2025-03-21 DOI:10.1007/s10773-025-05943-5

Dengcheng Xie, Shixin Zhu, Zhonghua Sun

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引用次数: 0

摘要

经典局部可恢复代码（classical LRCs）因其在局部错误恢复方面的高效性，在大规模分布式存储系统中有着广泛的应用。为了满足人们对量子数据存储的需求，人们提出了量子局部可恢复码（qLRCs），其应用具有相关性和前瞻性。首先，构建了有限域的子域和循环群的两个经典 LRC 族，并证明了它们的对偶是含对偶的。然后，推导出了与 qLRC 的量子 Singleton-like 约束相关的两个最优 qLRC 族。

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Two Families of Optimal Quantum Locally Recoverable Codes

Classical locally recoverable codes (classical LRCs) have wide application in large-scale distributed storage systems due to their efficiency in the recovery of localized errors. In order to satisfy the quest for quantum data storage, quantum locally recoverable codes (qLRCs) have been proposed for their relevant and prospective application. Firstly, two families of classical LRCs from subfields and cyclic groups of finite fields are constructed and their duals are proved to be dual-containing. Then two families of optimal qLRCs with regard to the quantum Singleton-like bound on qLRCs are deduced.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.