Enhanced multiparty quantum secret sharing protocol based on quantum secure direct communication and corresponding qubits in noisy environment

In this study, we propose a new protocol of quantum secret sharing to send four secret bits from the sender to the receivers using quantum secure direct communication and the corresponding qubits. Also, in this protocol, no message-carrying qubit is sent to the receivers via the quantum channel. At first, there are only two receivers and the message is transmitted in such a way that neither of the two receivers can access the secret message alone. If both receivers participate, the secret message will be revealed. In the second step, there are an arbitrary number of receivers. In this case, we use the idea of equivalent qubits similar to J. Wang et al.'s protocol and we add the auxiliary qubit similar to the Y. Liu et al.'s protocol. The efficiency of the protocol is better than the previous works. The efficiency of this protocol is equal to 50% where the efficiency of previous works such as Wang et al. and Liu et al. are 14.29% and 25% respectively. Finally the performance of the protocol is examined in the noisy environment.