Anyonic statistics with continuous variables
arXiv:0711.0820 · doi:10.1103/PhysRevA.78.052121
Abstract
We describe a continuous-variable scheme for simulating the Kitaev lattice model and for detecting statistics of abelian anyons. The corresponding quantum optical implementation is solely based upon Gaussian resource states and Gaussian operations, hence allowing for a highly efficient creation, manipulation, and detection of anyons. This approach extends our understanding of the control and application of anyons and it leads to the possibility for experimental proof-of-principle demonstrations of anyonic statistics using continuous-variable systems.
5 pages, 2 figures, appear in Phys. Rev. A
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- Superintegrability of Geodesic Motion on the Sausage Model
- General phase spaces: from discrete variables to rotor and continuum limits
- Generation of three-dimensional cluster entangled state
- Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
- Probing the exchange statistics of one-dimensional anyon models
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- Simulation of anyonic fractional statistics of Kitaev's toric model in circuit QED
- Universal Quantum Computation with Continuous-Variable Abelian Anyons
- Probing non-Abelian anyonic statistics with cold atoms in an optical lattice
- Topological error correction with a Gaussian cluster state
- Beats, broken-symmetry superfluid on a one dimensional anyon Hubbard model