2008/02/29 by Dimitris I. Tsomokos, D. I. Tsomokos, Sahel Ashhab +3 · 2 citations
Computer Science · Physics and Astronomy · #Algorithm #Electrical engineering #Flux qubit #Homogeneous #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum many-body systems #Quantum mechanics #Qubit #State (computer science) #Statistical physics #Superconducting quantum computing #Superconductivity #Topology (electrical circuits) #cond-mat.other #quant-ph
paper · pdf · doi:10.1088/1367-2630/10/11/113020
published as New J. Phys. 10, 113020 (2008) · 11 pages, 4 figures. Replaced with published version; made explicit connection with finite LMG model
arxiv created 2008/10/20 · openalex publication_date 2008/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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 (LMG) 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 (GHZ) 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 (SK) spin glasses, with superconducting qubit networks.