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.

11 pages, 4 figures. Replaced with published version; made explicit connection with finite LMG model

References in corpus (4)

• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
• Control-limited perfect state transfer, quantum stochastic resonance and many-body entangling gate in imperfect qubit registers