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

Samuel Aldana, Ying-Dan Wang, and C. Bruder
Phys. Rev. B 84, 134519 – Published 17 October 2011

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 tGHZg̃1. 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.

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  • Received 31 March 2011

DOI:https://doi.org/10.1103/PhysRevB.84.134519

©2011 American Physical Society

Authors & Affiliations

Samuel Aldana1, Ying-Dan Wang1,2, and C. Bruder1

  • 1Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland
  • 2Department of Physics, McGill University, Montreal QC, Canada H3A 2T8

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Issue

Vol. 84, Iss. 13 — 1 October 2011

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