Revival and distribution of Einstein–Podolsky–Rosen steering of a four-mode cluster state in noisy channels

Abstract

Einstein–Podolsky–Rosen steering is an important resource for constructing secure quantum communication networks. The quantum states carry information transmitted among the spatially separated nodes through the quantum channels, and the steerability of quantum states will reduce or even completely disappear due to the noise in the channels. We theoretically studied the revived steering properties of the quadripartite quantum state. The steering properties versus transmission efficiency and noise amplitude were investigated. Our studies show that when the noise in the channels reaches a certain value, it will lead to the sudden death of steering, and the steerability can be revived over a large range of values by establishing correlated noisy channels. Different types of monogamy relationships are verified in our scheme. These results provide a theoretical foundation for the construction of secure quantum networks.