2012/10/17 by Guanru Feng, Guilu Long, Raymond Laflamme · 1 citation
Mathematics · Physics and Astronomy · #Anyon #Boson #Fermion #Hamiltonian (control theory) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum computer #Quantum many-body systems #Quantum mechanics #Quantum simulator #Statistics #Topological quantum computer #quant-ph
paper · pdf · doi:10.1103/physreva.88.022305
7 pages, 7 figures
arxiv created 2012/10/17 · openalex publication_date 2013/08/07 · arxiv updated 2013/08/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Anyons have exotic statistical properties, fractional statistics, differing from bosons and fermions. They can be created as excitations of some Hamiltonian models. Here, we present an experimental demonstration of anyonic fractional statistics by simulating a version of the Kitaev spin-lattice model proposed by Han et al. [Phys. Rev. Lett. 98, 150404 (2007)] using an NMR quantum-information processor. We use a seven-qubit system to prepare a six-qubit pseudopure state to implement the ground-state preparation and realize anyonic manipulations, including creation, braiding and anyon fusion. The anyonic braiding process is equivalent to two successive particle exchanges. We obtain a phase difference of (0.52\ifmmode±\else\textpm\fi0.01)\ensuremathπ\ifmmode×\else\texttimes\fi2 between the states with and without anyon braiding, which is different from the \ensuremathπ\ifmmode×\else\texttimes\fi2 and 2\ensuremathπ\ifmmode×\else\texttimes\fi2 phase changes for fermions and bosons after two successive particle exchanges, and agrees with the prediction of the anyonic fractional statistics.