Measurement-only topological quantum computation via anyonic interferometry

被引：70

作者：

Bonderson, Parsa ^{[1
]}

Freedman, Michael

Nayak, Chetan ^{[1
]}

机构：

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

来源：

ANNALS OF PHYSICS | 2009年 / 324卷 / 04期

关键词：

Topological quantum computation; Interferometry; Anyonic charge measurement; Fractional quantum Hall effect; NON-ABELIAN STATISTICS; FIELD-THEORY; HALL STATES; POINT-CONTACT; TELEPORTATION; UNIVERSAL; SYSTEMS;

D O I：

10.1016/j.aop.2008.09.009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe measurement-only topological quantum computation using both projective and interferometrical measurement of topological charge. We demonstrate how anyonic teleportation can be achieved using "forced measurement" protocols for both types of measurement. Using this, it is shown how topological charge measurements can be used to generate the braiding transformations used in topological quantum computation, and hence that the physical transportation of computational anyons is unnecessary. We give a detailed discussion of the anyonics for implementation of topological quantum computation (particularly, using the measurement-only approach) in fractional quantum Hall systems. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：787 / 826

页数：40

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