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

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 Hamilton...

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Bibliographic Details
Published in:arXiv.org 2011-09
Main Authors: Aldana, Samuel, Ying-Dan, Wang, Bruder, Christoph
Format: Article
Language:English
Subjects:
Physical properties
Quantum electrodynamics
Quantum entanglement
Quantum theory
Qubits (quantum computing)
Superconductivity
Transmission lines
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1104.1022