Emulating anyonic fractional statistical behavior in a superconducting quantum circuit

Abstract

Anyons are exotic quasiparticles obeying fractional statistics,whose behavior can be emulated in artificially designed spin systems.Here we present an experimental emulation of creating anyonic excitations in a superconducting circuit that consists of four qubits, achieved by dynamically generating the ground and excited states of the toric code model, i.e., four-qubit Greenberger-Horne-Zeilinger states. The anyonic braiding is implemented via single-qubit rotations: a phase shift of πrelated to braiding, the hallmark of Abelian 1/2 anyons, has been observed through a Ramsey-type interference measurement.

to appear in Physical Review Letters, 5 pages, 4 figures

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• Quantum Simulation of Lattice Gauge Theories on Superconducting Circuits: Quantum Phase Transition and Quench Dynamics
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• Vortex-Meissner phase transition induced by two-tone-drive-engineered artificial gauge potential in the fermionic ladder constructed by superconducting qubit circuits
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• Synthetic anyons in noninteracting systems
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• Two-dimensional topological effect in a transmon qubit array with tunable couplings
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• Extending the planar theory of anyons to quantum wire networks
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• An exactly solvable model for anyons with non-Abelian flux