Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-04-06
Phys. Rev. B 84, 134519 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 pages, 4 figures, accepted for publication in PRB
Scientific paper
10.1103/PhysRevB.84.134519
We propose a circuit quantum electrodynamics (QED) realization of a protocol to generate a Greenberger-Horne-Zeilinger (GHZ) state for $N$ superconducting transmon qubits homogeneously coupled to a superconducting transmission line resonator in the dispersive limit. We derive an effective Hamiltonian with pairwise qubit exchange interactions of the XY type, $\tilde{g}(XX+YY)$, that can be globally controlled. Starting from a separable initial state, these interactions allow to generate a multi-qubit GHZ state within a time $t_{\text{GHZ}}\sim \tilde{g}^{-1}$. We discuss how to probe the non-local nature and the genuine $N$-partite entanglement of the generated state. Finally, we investigate the stability of the proposed scheme to inhomogeneities in the physical parameters.
Aldana Samuel
Bruder Christoph
Wang Ying-Dan
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