The generation of the Greenberger–Horne–Zeilinger state of four distant atoms conditioned on cavity decay
K. Pahlke, XuBo Zou, Wolfgang M. Mathis · Journal of Optics B Quantum and Semiclassical Optics · 2004
We show a way to use an optical device set-up to generate the four-particle Greenberger–Horne–Zeilinger (GHZ) state of atoms, which are trapped separately in leaky cavities. Based on cavity decay, photons are transferred from the atom–cavity systems to a symmetric series of beam splitters and photon detectors. The events of photon detection on the output modes of the beam splitters project the state of the atom–cavity systems onto the GHZ state. It is briefly pointed out how this scheme can be extended to generate GHZ states of 4 m atoms.