2D Compass Codes

被引：52

作者：

Li, Muyuan ^{[1
]}

Miller, Daniel ^{[2
]}

Newman, Michael ^{[3
,4
,5
]}

Wu, Yukai ^{[6
]}

Brown, Kenneth R. ^{[3
,4
,5
]}

机构：

[1] Georgia Inst Technol, Sch Computat Sci & Engn, Atlanta, GA 30332 USA

[2] Heinrich Heine Univ Dusseldorf, Inst Theoret Phys 3, D-40225 Dusseldorf, Germany

[3] Duke Univ, Dept Elect & Comp Engn, Durham, NC 27708 USA

[4] Duke Univ, Dept Chem, Durham, NC 27708 USA

[5] Duke Univ, Dept Phys, Durham, NC 27708 USA

[6] Univ Michigan, Dept Phys, Ann Arbor, MI 48109 USA

来源：

PHYSICAL REVIEW X | 2019年 / 9卷 / 02期

基金：

美国国家科学基金会;

关键词：

ERROR-CORRECTING CODES; QUANTUM; THRESHOLD;

D O I：

10.1103/PhysRevX.9.021041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The compass model on a square lattice provides a natural template for building subsystem stabilizer codes. The surface code and the Bacon-Shor code represent two extremes of possible codes depending on how many gauge qubits are fixed. We explore threshold behavior in this broad class of local codes by trading locality for asymmetry and gauge degrees of freedom for stabilizer syndrome information. We analyze these codes with asymmetric and spatially inhomogeneous Pauli noise in the code capacity and phenomenological models. In these idealized settings, we observe considerably higher thresholds against asymmetric noise. At the circuit level, these codes inherit the bare-ancilla fault tolerance of the Bacon-Shor code.

引用

页数：11

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