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arXiv · 0711.0820

Anyonic statistics with continuous variables

Jing Zhang·Changde Xie·Kunchi Peng·Peter van Loock
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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.

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Jing Zhang, Changde Xie, Kunchi Peng, Peter van Loock. 2008-10-30. Anyonic statistics with continuous variables. https://doi.org/10.1103/physreva.78.052121

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