Demonstrating Anyonic Fractional Statistics with a Six-Qubit Quantum Simulator

Date: 2009-12-30
Authors Chao-Yang Lu, Wei-Bo Gao, Otfried Gühne, Xiao-Qi Zhou, Zeng-Bing Chen, and Jian-Wei Pan
Journal No. Phys. Rev. Lett. 102, 030502 (2009)    
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