Construction scheme of a two-photon polarization controlled arbitrary phase gate mediated by weak cross-phase modulation

We propose a construction scheme of a two-photon polarization controlled arbitrary phase gate based on weak cross-phase modulation. Assisted with weak cross-phase modulation and homodyne measurement on the coherent states, the individual photons are entangled together. Employing the combination of optical elements and classical feed-forward techniques, the target photon can have a conditionally shifted arbitrary phase with efficiency approaching nearly unity. With a large-amplitude coherent state, the high success probability of the controlled arbitrary phase gate can be guaranteed.

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