Simulation of anyonic fractional statistics of Kitaev's toric model in circuit QED

TL;DR

This paper proposes a circuit QED scheme to simulate anyonic fractional statistics of Kitaev's toric model, enabling the study of anyonic interferometry with high fidelity operations.

Contribution

It introduces a novel circuit QED approach to dynamically generate ground states and excitations for simulating anyonic interferometry.

Findings

Effective state control and dynamics can be realized in circuit QED.

High fidelity operations enable accurate simulation of anyonic statistics.

The scheme opens possibilities for macroscopic material simulations.

Abstract

Since the anyonic excitations in the Kitaev toric model are perfectly localized quasiparticles, it is possible to generate dynamically the ground state and the excitations of the model Hamiltonian to simulate the anyonic interferometry. We propose a scheme in circuit QED to simulate the interferometry. The qubit-cavity interaction can be engineered to realize effective state control as well as the controlled dynamics of qubits, which are sufficient to prepare the ground states, create and remove the anyonic excitation, and simulate the anyonic interferometry. The simplicity and high fidelity of the operations used open the very promising possibility of simulating fractional statistics of anyons in a macroscopic material in the near future.