Quantum State Sharing Under Noisy Environment

Quantum state sharing (QSS) plays significant role in transmitting quantum secret information. However, in practical quantum communication situation, quantum information transmission is inevitably affected by the noisy environment. In this paper, we investigate the influence of correlated noise on QSS. We first present a QSS scheme and construct a noisy QSS. Subsequently, the fidelity of the scheme is discussed. It is found that there are different behaviors of fidelity in Markovian regime and non-Markovian regime. Furthermore, a method is proposed to steer the performance of the noisy QSS scheme with filtering operator.