Fully-connected network of superconducting qubits in a cavity
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.
Keywords
Cite
@article{arxiv.0802.1469,
title = {Fully-connected network of superconducting qubits in a cavity},
author = {D. I. Tsomokos and S. Ashhab and F. Nori},
journal= {arXiv preprint arXiv:0802.1469},
year = {2008}
}
Comments
11 pages, 4 figures. Replaced with published version; made explicit connection with finite LMG model