Anyonic statistics with continuous variables

TL;DR

This paper proposes a continuous-variable quantum optical scheme to simulate the Kitaev lattice model and detect abelian anyon statistics, enabling efficient creation, manipulation, and potential experimental demonstration of anyonic behavior.

Contribution

It introduces a novel Gaussian resource-based method for simulating and detecting anyons in continuous-variable systems, expanding experimental possibilities.

Findings

Efficient Gaussian-based scheme for anyon simulation

Potential for experimental proof-of-principle demonstrations

Extension of control over anyonic statistics in continuous variables

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.