Creation, Manipulation, and Detection of Abelian and Non-Abelian Anyons in Optical Lattices

被引:107
作者
Aguado, M. [1 ]
Brennen, G. K. [2 ]
Verstraete, F. [3 ]
Cirac, J. I. [1 ]
机构
[1] Max Planck Inst Quantum Opt, D-85748 Garching, Germany
[2] Macquarie Univ, Ctr Quantum Informat Sci & Secur, N Ryde, NSW 2109, Australia
[3] Univ Vienna, Fak Phys, A-1090 Vienna, Austria
关键词
D O I
10.1103/PhysRevLett.101.260501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose and Fermi statistics, when two of them are interchanged. This can be used to perform quantum computations [A. Yu. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003)]. We show how to simulate the creation and manipulation of Abelian and non-Abelian anyons in topological lattice models using trapped atoms in optical lattices. Our proposal, feasible with present technology, requires an ancilla particle which can undergo single-particle gates, be moved close to each constituent of the lattice and undergo a simple quantum gate, and be detected.
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页数:4
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