Resource Allocation Based on Topological Rotation Symmetry and Subnet Division for Entanglement Distribution Networks

Quantum entanglement is one of the remarkable properties of the quantum world and can provide information-theoretic security. Although most current implementations are limited to two communication parties, the introduction of entanglement distribution networks offers the prospect of extending the advantages of entanglement to involve more than two users. However, simultaneous establishment of entanglement among numerous users still faces some challenging issues, such as the finite wavelength resources, which limit the scale and efficiency of entanglement distribution networks. Combined with subnet division, we propose the topological rotation symmetry-based wavelength allocation (TRS-WA) scheme for entanglement distribution networks, reducing the number of wavelength channels required for N users from the order of O(N) to O(√ N). In order to improve the network mean effective entanglement probability (MEEP), we propose a hybrid multielement-based wavelength multiplexing (HM-WM) scheme, including the mixed use of the beam splitters and optical switches. In addition, the multi-objective linear programming model is designed to solve the problem of how to perform the wavelength allocation and wavelength multiplexing for a known size network. Simulation results indicate that the reduction in the number of wavelength channel pairs required by the TRS-WA scheme relative to the benchmark can reach 99% with 150 users.