Graph-based Hamiltonian path approach for free-space quantum secret sharing scheme
摘要
Quantum secret sharing schemes, as multi-user quantum communication protocols, have been extensively studied in fiber-optic channels but remain underdeveloped in free-space environments. To address this gap, we propose a graph-based Hamiltonian path approach for free-space quantum secret sharing scheme that uses graph theory and a decentralized architecture to determine the communication link of the system. We model users as nodes and link distances as weighted edges in a fully connected graph to identify the shortest Hamiltonian Paths, which is the shortest path for full traversal, as the communication transmission paths by combinatorial path algorithms. Our paper provides a theoretical foundation and path selection methodology for multi-user free-space quantum secret sharing.