Simulation of anyonic fractional statistics of Kitaev's toric model in circuit QED
Laboratory of Quantum Information Technology, ICMP and School of Physics and Telecommunication Engineering, South China Normal University - Guangzhou 510006, China
Accepted: 10 January 2011
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.
PACS: 03.67.Lx – Quantum computation architectures and implementations / 42.50.Dv – Quantum state engineering and measurements / 85.25.Cp – Josephson devices
© EPLA, 2011