Triorthogonal codes and self-dual codes

IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Quantum Information Processing Pub Date : 2024-07-20 DOI:10.1007/s11128-024-04485-9
Minjia Shi, Haodong Lu, Jon-Lark Kim, Patrick Solé
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引用次数: 0

Abstract

Triorthogonal matrices were introduced in quantum information theory in connection with distillation of magic states (Bravyi and Haah in Phys Rev A 86:052329, 2012). We give an algorithm to construct binary triorthogonal matrices from binary self-dual codes. Further, we generalize to this setting the classical coding techniques of shortening and extending. We also give some simple propagation rules.

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三正交码和自偶码
三正交矩阵是量子信息论中与魔态蒸馏有关的内容(Bravyi 和 Haah,发表于 Phys Rev A 86:052329, 2012)。我们给出了一种从二进制自偶码构建二进制三正交矩阵的算法。此外,我们还将缩短和扩展的经典编码技术推广到这一环境中。我们还给出了一些简单的传播规则。
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来源期刊
Quantum Information Processing
Quantum Information Processing 物理-物理:数学物理
CiteScore
4.10
自引率
20.00%
发文量
337
审稿时长
4.5 months
期刊介绍: Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.
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