Anyon statistics with continuous variables

Zhang, Jing; Xie, Changde; Peng, Kunchi; van Loock, Peter

doi:10.1103/PhysRevA.78.052121

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Anyon statistics with continuous variables

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van Loock, Peter
Max Planck Research Group, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Zhang, J., Xie, C., Peng, K., & van Loock, P. (2008). Anyon statistics with continuous variables. PHYSICAL REVIEW A, 78(5): 052121. doi:10.1103/PhysRevA.78.052121.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6C5F-4

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.