Multi-layer Quantum Secret Sharing Based on GHZ States

A multi-layer quantum secret sharing protocol based on GHZ states is put forward. In this protocol, Alice wishes to share a secret, carried by the quantum state, with multiple agent nodes in the network. To be specific, the secret is transmitted and shared layer by layer from root Alice to layered agents. Only if all agents at the last layer cooperate together, this secret can be reconstructed accurately. Compared with existing quantum secret sharing protocols, there are two highlights in our proposed protocol. On the one hand, the secret can be distributed to multiple agents only with five-particle GHZ states on account of layered construction. On the other hand, we elaborately design two iterative algorithms under the guidance of computational thinking, Algorithm 1 is helpful to quickly calculate the final collapsed state in each layer, Algorithm 2 is capable of obtaining the specific recovery operation based on the output results of Algorithm 1. Our proposed protocol can be applied to the wireless network in an effort to ensure the security of information delivery.