Implementing Toffoli gate via weak cross-Kerr nonlinearity and classical feedback

Abstract

We design an efficient optical circuit to realize a Toffoli gate via weak cross-Kerr nonlinearity and classical feedback. To obtain a high-fidelity gate, we probe different path detectors to minimize the influence from the environmental noise. Compared to previous proposals, our scheme does not need external auxiliary photons and is easy to implement in experiment.