Splitting and acquiring quantum information with perfect W states based on weak cross-Kerr nonlinearities

Abstract

With the assistance of weak cross-Kerr nonlinear interaction between photons and coherent states via Kerr media, we propose a scheme to split and acquire quantum information with three-photon perfect W states. By means of a fault-tolerant circuit, the perfect W states are distributed to the participants without being affected by the collective noise. And on this basis we present a scheme for splitting and acquiring a single-photon state with the shared perfect W states. Together with the mature techniques of classical feed-forward, simple and available linear optical elements are applied in the procedure, enhancing the feasibility of the theoretical scheme proposed here.