Greenberger-Horne-Zeilinger generation protocol for N superconducting transmon qubits capacitively coupled to a quantum bus

Samuel Aldana; Ying-Dan Wang; C. Bruder

doi:10.1103/PhysRevB.84.134519

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Greenberger-Horne-Zeilinger generation protocol for N superconducting transmon qubits capacitively coupled to a quantum bus

Samuel Aldana, Ying-Dan Wang, C. Bruder

DOI 10.1103/PhysRevB.84.134519 · Physical Review B

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Abstract

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, g̃(XX+YY), that can be globally controlled. Starting from a separable initial state, these interactions allow us to generate a multi-qubit GHZ state within a time tGHZ∼g̃−1. We discuss how to probe the nonlocal 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.