Quantum Simulation Architecture for Lattice Bosons in Arbitrary, Tunable External Gauge Fields
arXiv:1302.6596 · doi:10.1103/PhysRevA.87.062336
Abstract
We describe a lattice of asymmetrical qubit pairs in one or two dimensions, with couplings arranged so that the motion of single-qubit excited states mimics the behavior of charged lattice bosons hopping in a magnetic field. We show in particular that one can choose the parameters of the many-body circuit to reach a regime where the complex hopping phase between any two elements can be tuned to any value by simply adjusting the relative phases of two applied oscillating voltage signals. We also propose a specific realization of our model using coupled three junction flux qubits, in which one can reach the strongly interacting bosonic quantum Hall limit where one will find anyonic excitations. The circuits could be used for topological quantum computation.
9 pages (with references), 5 figures, accepted in Phys. Rev. A
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- Topological properties of linear circuit lattices
- Induced self-stabilization in fractional quantum Hall states of light
- Analysis of parametrically driven exchange-type (iSWAP) and two-photon (bSWAP) interactions between superconducting qubits
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- Non-Abelian Fractional Chern Insulators from Long-Range Interactions
- Fractional Quantum Hall States of Rydberg Polaritons
- Topological growing of Laughlin states in synthetic gauge fields
- Lattice gauge fields via modulation in circuit QED: The bosonic Creutz ladder
- Exact Solutions of Fractional Chern Insulators: Interacting Particles in the Hofstadter Model at Finite Size
- Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
- Passive correction of quantum logical errors in a driven, dissipative system: a blueprint for an analog quantum code fabric
- Universal two-qubit interactions, measurement and cooling for quantum simulation and computing
- Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
- Quantum phase transition in a multi-connected superconducting Jaynes-Cummings lattice
- Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
- 3- and 4-body Interactions from 2-body interactions in Spin Models: A Route to Abelian and Non-Abelian Fractional Chern Insulators
- Landau Levels in Lattices with Long Range Hopping
- Quantum phase transition in a multiconnected Jaynes-Cummings lattice
- Stabilizing the Laughlin state of light: dynamics of hole fractionalization
- Simulating systems of itinerant spin-carrying particles using arrays of superconducting qubits and resonators
- Spectral features of polaronic excitations in a superconducting analog simulator
- Mott insulator-superfluid phase transition in a detuned multi-connected Jaynes-Cummings lattice
- Chiral excitation flows of a multinode network based on synthetic gauge fields