Topological quantum compiling

被引:64
作者
Hormozi, L. [1 ]
Zikos, G.
Bonesteel, N. E.
Simon, S. H.
机构
[1] Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA
[2] Florida State Univ, Natl High Magnet Field Lab, Tallahassee, FL 32306 USA
[3] Bell Labs, Lucent Technol, Murray Hill, NJ 07974 USA
来源
PHYSICAL REVIEW B | 2007年 / 75卷 / 16期
关键词
D O I
10.1103/PhysRevB.75.165310
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A method for compiling quantum algorithms into specific braiding patterns for non-Abelian quasiparticles described by the so-called Fibonacci anyon model is developed. The method is based on the observation that a universal set of quantum gates acting on qubits encoded using triplets of these quasiparticles can be built entirely out of three-stranded braids (three-braids). These three-braids can then be efficiently compiled and improved to any required accuracy using the Solovay-Kitaev algorithm.
引用
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页数:19
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