Fully-connected network of superconducting qubits in a cavity

TL;DR

This paper proposes implementing a fully-connected superconducting qubit network in circuit QED to generate highly entangled states and simulate complex quantum systems, expanding the capabilities of quantum simulation.

Contribution

It introduces a practical implementation of the fully-connected qubit model using superconducting circuits and explores its potential for quantum state generation and simulation.

Findings

Generation of GHZ and W entangled states under realistic conditions

Analysis of disorder effects on system behavior

Potential to simulate complex quantum models like spin glasses

Abstract

A fully-connected qubit network is considered, where every qubit interacts with every other one. When the interactions between the qubits are homogeneous, the system is a special case of the finite Lipkin-Meshkov-Glick model. We propose a natural implementation of this model using superconducting qubits in state-of-the-art circuit QED. The ground state, the low-lying energy spectrum and the dynamical evolution are investigated. We find that, under realistic conditions, highly entangled states of Greenberger-Horne-Zeilinger and W types can be generated. We also comment on the influence of disorder on the system and discuss the possibility of simulating complex quantum systems, such as Sherrington-Kirkpatrick spin glasses, with superconducting qubit networks.