Abstract

We propose two heralded schemes for generating multipartite Greenberger-Horne-Zeilinger (GHZ) and W states. They are realized by photon scattering in one-dimensional waveguides, and the qubits are encoded in the degenerate ground states of the quantum emitters. In our schemes, errors caused by the system imperfections and faulty photon scattering can be turned into detectable photon loss, which is advantageous for quantum information science. That is, our schemes for creating GHZ and W states work in a heralded way. Moreover, the generation of the two entangled states can be theoretically generalized to many-qubit cases in a straightforward way. Our calculations show that both the success probabilities and fidelities of our two schemes are high with current technique on manipulating quantum dots in slow-light photonic crystal waveguides.

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