Dimitris I Tsomokos et al 2008 New J. Phys. 10 113020 doi:10.1088/1367-2630/10/11/113020
Dimitris I Tsomokos1,2,4, Sahel Ashhab2,3 and Franco Nori2,3
Show affiliationsA 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.
03.67.Lx Quantum computation architectures and implementations
Issue 11 (November 2008)
Received 28 May 2008
Published 14 November 2008
Dimitris I Tsomokos et al 2008 New J. Phys. 10 113020
S-M Kim et al 2007 Nanotechnology 18 495606
Yu-Fang Chen et al 2009 J. Opt. A: Pure Appl. Opt. 11 125409
Håkan Andréasson 2009 J. Phys.: Conf. Ser. 189 012001
Tarapada Roy and Debabrata Chakraborty 2009 Smart Mater. Struct. 18 115006
E D Belokolos and M V Teslyk 2009 Class. Quantum Grav. 26 235008
F Lucklum and B Jakoby 2009 Meas. Sci. Technol. 20 124002
Anna Corrias et al 2007 Nanotechnology 18 485610
M Genkin and E Lindroth 2008 J. Phys. A: Math. Theor. 41 425303
A Weddemann et al 2009 New J. Phys. 11 113027