Multiparty Quantum Secret Sharing of Classical Message Under Noisy Scenario

Quantum secret sharing (QSS) ensures secure information distribution among multiple parties but is vulnerable to noise. We analyze the effects of bit-flip, phase-flip, and amplitudedamping noise on the multiparty QSS for classical message protocol proposed by Zhang et al. (Phys. Rev. A, 71:044301, 2005) and propose an efficient quantum error correction (QEC) implementation using a simplified Shor's code. By exploiting the particular structure of the QSS, we reduce the resource requirements from the default 9 qubits of Shor's code to as small as 3 qubits and still achieve a lower average error rate. Simulation results confirm that QEC enhances the protocol's robustness, making it more practical for real-world applications.