Three-photon entangled states such as a Greenberger-Horne-Zeilinger state can be produced by mixing a weak coherent state with parametric down-conversion. Quantum interference between the two states is responsible for the cancellation of unwanted photon states. Two schemes of interference are considered and both are shown to produce the entangled state.
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Shafiei et al. (2004) studied this question.
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