Braid topologies for quantum computation

被引：109
作者：
Bonesteel, NE [1 ]
Hormozi, L
Zikos, G
Simon, SH
机构：
[1] Florida State Univ, Dept Phys, Tallahassee, FL 32310 USA
[2] Florida State Univ, Natl High Magnet Field Lab, Tallahassee, FL 32310 USA
[3] Bell Labs, Lucent Technol, Murray Hill, NJ 07974 USA
来源：
PHYSICAL REVIEW LETTERS | 2005年 / 95卷 / 14期
关键词：
D O I：
10.1103/PhysRevLett.95.140503
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In topological quantum computation, quantum information is stored in states which are intrinsically protected from decoherence, and quantum gates are carried out by dragging particlelike excitations (quasiparticles) around one another in two space dimensions. The resulting quasiparticle trajectories define world lines in three-dimensional space-time, and the corresponding quantum gates depend only on the topology of the braids formed by these world lines. We show how to find braids that yield a universal set of quantum gates for qubits encoded using a specific kind of quasiparticle which is particularly promising for experimental realization.
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