Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems

TL;DR

This paper proposes a superconducting qubit-based architecture to realize complex lattice models, including spin and Hubbard systems, leveraging recent experimental advances for controllable interactions.

Contribution

It introduces a novel design framework for implementing exotic lattice systems using superconducting circuits, enabling higher-dimensional and topologically nontrivial models.

Findings

Feasible with current superconducting circuit technology.

Supports realization of spin and Bose-Hubbard models.

Enables exploration of complex lattice topologies.

Abstract

We propose an architecture based on superconducting qubits and resonators for the implementation of a variety of exotic lattice systems, such as spin and Hubbard models in higher or fractal dimensions and higher-genus topologies. Spin systems are realized naturally using qubits, while superconducting resonators can be used for the realization of Bose-Hubbard models. Fundamental requirements for these designs, such as controllable interactions between arbitrary qubit pairs, have recently been implemented in the laboratory, rendering our proposals feasible with current technology.