量子子系统代码、CFT 及其ℤ2-缺口

IF 5.4 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2024-11-22 DOI:10.1007/JHEP11(2024)125

Keiichi Ando, Kohki Kawabata, Tatsuma Nishioka

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引用次数: 0

摘要

我们用量子子系统码（比量子稳定器码更全面的一类量子纠错码）为素数维的奎特系统构建纳兰共形场论（CFT）。由此产生的编码态方差理论具有全局的ℤ2对称性，当对称性为非反常时，我们就能进行ℤ2测量，推导出它们的轨道化和费米子化理论。我们利用加权定向图对这些子系统代码 CFT 子集进行分类，并列举了那些中心电荷较小的子系统代码 CFT。因此，我们发现了一些在ℤ2-轨道下自偶的玻色码 CFT、新的超对称码 CFT 和一些具有自发破缺超对称性的费米码 CFT。

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Quantum subsystem codes, CFTs and their ℤ2-gaugings

We construct Narain conformal field theories (CFTs) from quantum subsystem codes, a more comprehensive class of quantum error-correcting codes than quantum stabilizer codes, for qudit systems of prime dimensions. The resulting code CFTs exhibit a global ℤ₂ symmetry, enabling us to perform the ℤ₂-gauging to derive their orbifolded and fermionized theories when the symmetry is non-anomalous. We classify a subset of these subsystem code CFTs using weighted oriented graphs and enumerate those with small central charges. Consequently, we identify several bosonic code CFTs self-dual under the ℤ₂-orbifold, new supersymmetric code CFTs, and a few fermionic code CFTs with spontaneously broken supersymmetry.

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来源期刊

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).