Topological states and braiding statistics using quantum circuits

TL;DR

This paper proposes a method using superconducting quantum circuits to construct a Kitaev lattice, enabling the study of topological states and braiding statistics in a controllable, experimentally feasible system.

Contribution

It introduces a new approach to realize a Kitaev lattice with superconducting circuits, facilitating the exploration of topological phases and braiding in a laboratory setting.

Findings

Demonstrates topological vortex and bond states

Shows how braiding statistics can be revealed

Provides a feasible experimental platform for topological phases

Abstract

Using superconducting quantum circuits, we propose an approach to construct a Kitaev lattice, i.e., an anisotropic spin model on a honeycomb lattice with three types of nearest-neighbor interactions. We study two particular cases to demonstrate topological states (i.e., the vortex and bond states) and show how the braiding statistics can be revealed. Our approach provides an experimentally realizable many-body system for demonstrating exotic properties of topological phases.