Measurement-device-independent quantum-secret-sharing networks with linear Bell-state analysis

Quantum secret sharing (QSS) plays a pivotal role in multiparty quantum communication, ensuring the secure distribution of private information among multiple parties. However, the security of QSS schemes can be compromised by attacks exploiting imperfections in measurement devices. Here, we propose a reconfigurable approach to implement QSS based on measurement-device-independent (MDI) principles, utilizing linear two-photon Bell-state analysis. By employing single-qubit conjugate operations for encoding private classical information, our approach offers reconfigurability, allowing for the inclusion of additional parties without sacrificing efficiency. Furthermore, we demonstrate the robust security of our MDI QSS scheme against intereavesdropping by dishonest participants and establish lower bounds for secure communication among three legitimate parties. This work presents a flexible configuration for implementing multiparty secure quantum communication with imperfect measurement devices and represents a significant advancement in the development of secure quantum communication technologies.