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

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• Greenberger-Horne-Zeilinger state protocols for fully connected qubit networks
• Quantum statistics of the collective excitations of an atomic ensemble inside a cavity
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• Dispersive Regimes of the Dicke Model
• Noise to lubricate qubit transfer in a spin network
• Adiabatic approximation for three qubits ultrastrongly coupled to a harmonic oscillator
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• The time crystal phase emerges from the qubit network under unitary random operations
• Multifractality in the fidelity of the Toffoli gate
• Disorder-free localisation in continuous-time quantum walks : Role of symmetries
• Single-step multipartite entangled states generation from coupled circuit cavities
• Study of the spin kitten states in a strongly coupled spin-oscillator system