Supersymmetric conformal field theories from quantum stabilizer codes

被引：12
作者：
Kawabata, Kohki [1 ,2 ]
Nishioka, Tatsuma [2 ]
Okuda, Takuya [3 ]
机构：
[1] Univ Tokyo, Dept Phys, Fac Sci, Bunkyo Ku, Tokyo 1130033, Japan
[2] Osaka Univ, Dept Phys, Machikaneyama Cho 1-1, Toyonaka 5600043, Japan
[3] Univ Tokyo, Grad Sch Arts & Sci, Meguro Ku, Tokyo 1538902, Japan
来源：
PHYSICAL REVIEW D | 2023年 / 108卷 / 08期
关键词：
ERROR-CORRECTION; COMPUTATION; LATTICE;
D O I：
10.1103/PhysRevD.108.L081901
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We construct fermionic conformal field theories (CFTs) whose spectra are characterized by quantum stabilizer codes. We exploit our construction to search for fermionic CFTs with supersymmetry by focusing on quantum stabilizer codes of the Calderbank-Shor-Steane type, and derive simple criteria for the theories to be supersymmetric. We provide several examples of fermionic CFTs that meet the criteria, and find quantum codes that realize N = 4 supersymmetry. Our work constitutes a new application of quantum codes and paves the way for the methodical search for supersymmetric CFTs.
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页数：8
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