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arXiv · 0710.0278

Demonstrating anyonic fractional statistics with a six-qubit quantum simulator

Chao-Yang Lu·Wei-Bo Gao·Otfried Gühne·Xiao-Qi Zhou·Zeng-Bing Chen·Jian-Wei Pan
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Abstract

Anyons are exotic quasiparticles living in two dimensions that do not fit into the usual categories of fermions and bosons, but obey a new form of fractional statistics. Following a recent proposal [Phys. Rev. Lett. 98, 150404 (2007)], we present an experimental demonstration of the fractional statistics of anyons in the Kitaev spin lattice model using a photonic quantum simulator. We dynamically create the ground state and excited states (which are six-qubit graph states) of the Kitaev model Hamiltonian, and implement the anyonic braiding and fusion operations by single-qubit rotations. A phase shift of $π$ related to the anyon braiding is observed, confirming the prediction of the fractional statistics of Abelian 1/2-anyons.

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Chao-Yang Lu, Wei-Bo Gao, Otfried Gühne, Xiao-Qi Zhou, Zeng-Bing Chen, Jian-Wei Pan. 2008-10-16. Demonstrating anyonic fractional statistics with a six-qubit quantum simulator. https://doi.org/10.1103/physrevlett.102.030502

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