Scalable and verifiable quantum secret sharing with photonic efficiency via quasicausal cones in the multiscale entanglement renormalization ansatz framework

Quantum secret sharing (QSS) is set to revolutionize secure communication. However, achieving practical implementations that balance efficiency, security, and flexibility remains a significant challenge. To address this issue, we propose an innovative QSS scheme that integrates a verification mechanism for the distribution process by leveraging quasicausal cones within the multiscale entanglement renormalization ansatz framework. This approach ensures the secure dissemination of entangled photons across a multiuser network while enhancing the integrity of the quantum state against disturbances. A key feature of our scheme is the application of quasicausal cones, which improve the system's fault tolerance and recovery precision, preserving quantum state coherence and stability even in the presence of errors or losses. The recursive and hierarchical design of our framework enables it to dynamically adapt to fluctuations in network size and the number of participants, making it well suited for large-scale quantum networks. Furthermore, our method reduces the costs associated with photon transmission and storage, enhancing resource allocation within expansive quantum networks. The strategic incorporation of quasicausal cones represents a major advancement, streamlining the flow of quantum information and minimizing the overall resource footprint. By flexibly accommodating varying network sizes and configurations, our scheme marks a significant step towards efficient large-scale QSS, underscoring the critical role of quasicausal cones in advancing quantum communication technologies.