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

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, $\tilde{g}(XX+YY)$, 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.

9 pages, 4 figures, accepted for publication in PRB

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Cited by in corpus (12)

• Entangling superconducting qubits in a multi-cavity system
• Single-step implementation of a hybrid controlled-NOT gate with one superconducting qubit simultaneously controlling multiple target cat-state qubits
• Multiplex-controlled phase gate with qubits distributed in a multi-cavity system
• Parametric four-wave mixing toolbox for superconducting resonators
• Generation of quantum entangled states of multiple groups of qubits distributed in multiple cavities
• One-step achievement of robust multipartite Greenberger-Horne-Zeilinger state and controlled-phase gate via Rydberg interaction
• Transferring multiqubit entanglement onto memory qubits in a decoherence-free subspace
• Resonant effects in a SQUID qubit subjected to non adiabatic changes
• Single-step multipartite entangled states generation from coupled circuit cavities
• Circuit QED: Generation of two-transmon-qutrit entangled states via resonant interaction
• Transferring entangled states of photonic cat-state qubits in circuit QED
• Low Overhead Quantum Bus with Coupling beyond the Nearest Neighbor via Mediated Effective Capacitance