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

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.

arXiv commentTypos corrected

References in corpus (20)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• A toolbox for lattice spin models with polar molecules
• Superconducting Circuits and Quantum Information
• Quantum information processing with circuit quantum electrodynamics
• Quantum orders in an exact soluble model
• Fabrication and characterization of superconducting circuit QED devices for quantum computation
• Demonstrating anyonic fractional statistics with a six-qubit quantum simulator
• Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
• Anyonic interferometry and protected memories in atomic spin lattices
• A scheme for demonstration of fractional statistics of anyons in an exactly solvable model
• Topological states and braiding statistics using quantum circuits
• Efficient quantum circuits for one-way quantum computing
• Anyonic Braiding in Optical Lattices
• Anyonic statistics with continuous variables
• Implementing topological quantum manipulation with superconducting circuits

Cited by in corpus (5)

• Quantum Simulation
• Changing topology by topological defects in three-dimensional topologically ordered phases
• Measurement based Controlled Not gate for topological qubits in a Majorana fermion quantum-dot hybrid system
• Probing non-Abelian anyonic statistics with cold atoms in an optical lattice
• Simulation of the Majorana equation in circuit QED