Implementing topological quantum manipulation with superconducting circuits

Abstract

A two-component fermion model with conventional two-body interactions was recently shown to have anyonic excitations. We here propose a scheme to physically implement this model by transforming each chain of two two-component fermions to the two capacitively coupled chains of superconducting devices. In particular, we elaborate how to achieve the wanted operations to create and manipulate the topological quantum states, providing an experimentally feasible scenario to access the topological memory and to build the anyonic interferometry.

4 pages with 3 figures; V2: published version with minor updations

References in corpus (19)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Quantum state engineering with Josephson-junction devices
• 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 oscillations in two coupled charge qubits
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
• Geometric quantum computation and multi-qubit entanglement with superconducting charge qubits inside a cavity
• 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
• Creation and Manipulation of Anyons in the Kitaev Model
• Anyonic Braiding in Optical Lattices
• Correlation-induced suppression of decoherence in capacitively coupled Cooper-pair boxes
• Physical implementation of topologically decoherence-protected superconducting qubits
• Quantum logic operations and creation of entanglement in a scalable superconducting quantum computer with long-range constant interaction between qubits

Cited by in corpus (10)

• Topological states and braiding statistics using quantum circuits
• Topologically Protected Quantum Coherence in a Superatom
• Bandgap-Assisted Quantum Control of Topological Edge States in a Cavity
• Quantum information approach to the quantum phase transition in the Kitaev honeycomb model
• Tunable interfaces for realizing universal quantum computation with topological qubits
• Realization of Topological Quantum Computation with surface codes
• Simulation of anyonic fractional statistics of Kitaev's toric model in circuit QED
• Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
• Simulation of the Majorana equation in circuit QED
• Interfacing a topological qubit with a spin qubit in a hybrid quantum system