Abstract
Resource-efficient quantum information processing is equal to the minimal cost of the quantum resources required by quantum logic gates to a certain extent. In this paper, we propose a refined scheme for setting up a polarized Fredkin gate assisted by weak cross-Kerr nonlinearity, X-homodyne detectors, and some linear optical elements. The realization of the Fredkin gate is definite and has a highly successful probability of being close to the unit, which is feasible with the current technology. Moreover, in contrast to the Fredkin gates that have been proposed, the scheme has the advantages of requiring less quantum resource without auxiliary photons, comparatively simplified circuits, lower requirements on the interaction strength, and robustness against photon loss, thus it can be used for scalable quantum computation.
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