New quantum surface codes from semi-regular tessellations

IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL
Eduardo Brandani da Silva, Evandro Mazetto Brizola, Waldir Silva Soares Jr., Douglas Fernando Copatti
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引用次数: 0

Abstract

Current work presents a new approach to quantum surface codes on compact surfaces with genus \(g \ge 2\) using the identification of these surfaces with hyperbolic polygons and hyperbolic semi-regular tessellations. This method generalizes other contructions, and we show that this approach may give rise to codes with very good parameters. We present tables with several examples of these codes whose parameters had not been shown before.

Abstract Image

基于半规则镶嵌的新量子表面码
目前的工作提出了一种在亏格为(g\ge2\)的紧致曲面上使用双曲多边形和双曲半规则镶嵌来识别这些曲面的量子表面码的新方法。这种方法推广了其他构造,我们证明了这种方法可以产生具有很好参数的代码。我们在表格中列出了这些代码的几个示例,这些代码的参数以前没有显示过。
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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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