Secret sharing of a known arbitrary quantum state with noisy environment

We study quantum state sharing (QSTS) with noisy environment in this paper. As an example, we present a QSTS scheme of a known state whose information is hold by the dealer and then investigate the noisy influence process of the scheme. Taking the amplitude-damping noise and the phase-damping noise as typical noisy channels, we show that the secret state can be shared among agents with some information lost. Our research connects the areas of quantum state sharing and remote state preparation.