The Nature and Correction of Diabatic Errors in Anyon Braiding

被引：64

作者：

Knapp, Christina ^{[1
]}

Zaletel, Michael ^{[2
]}

Liu, Dong E. ^{[2
]}

Cheng, Meng ^{[2
,3
]}

Bonderson, Parsa ^{[2
]}

Nayak, Chetan ^{[1
,2
]}

机构：

[1] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA

[2] Microsoft Res, Stn Q, Santa Barbara, CA 93106 USA

[3] Yale Univ, Dept Phys, New Haven, CT 06520 USA

来源：

PHYSICAL REVIEW X | 2016年 / 6卷 / 04期

基金：

美国国家科学基金会;

关键词：

TOPOLOGICAL QUANTUM COMPUTATION; BIAS CONDUCTANCE PEAK; MAJORANA FERMIONS; SEMICONDUCTOR NANOWIRE; PARITY LIFETIME; HYBRID DEVICE; ZERO MODES; SUPERCONDUCTOR; SIGNATURE; STATES;

D O I：

10.1103/PhysRevX.6.041003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Topological phases of matter are a potential platform for the storage and processing of quantum information with intrinsic error rates that decrease exponentially with inverse temperature and with the length scales of the system, such as the distance between quasiparticles. However, it is less well understood how error rates depend on the speed with which non-Abelian quasiparticles are braided. In general, diabatic corrections to the holonomy or Berry's matrix vanish at least inversely with the length of time for the braid, with faster decay occurring as the time dependence is made smoother. We show that such corrections will not affect quantum information encoded in topological degrees of freedom, unless they involve the creation of topologically nontrivial quasiparticles. Moreover, we show how measurements that detect unintentionally created quasiparticles can be used to control this source of error.

引用

页数：38

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