Dynamic Topology Quantum Network Routing
Jincheng Zhang
Abstract
This paper proposes a novel approach to quantum network routing within a dynamic topology framework. The core concept revolves around leveraging the inherent properties of quantum topology, specifically exchange operations and entanglement, to construct a reconfigurable quantum network. The proposed routing algorithm dynamically optimizes the entanglement network path in real-time, aiming to achieve efficient quantum information transmission. The key innovation lies in the dynamic adjustment of routes, a significant challenge currently addressed in topological quantum network research. This work presents a theoretical framework and a foundational routing algorithm, laying the groundwork for future research and development in resilient and adaptable quantum communication networks. The system utilizes a network represented as (S1, S2, ..., SK), where Si represents a node in the network. The routing algorithm is defined as φ(S1, S2, ..., SK), which returns a sequence of nodes representing the optimal path. The efficiency of the routing is measured by the average path length (L) and the number of exchanges (E) required. A key element is the concept of topological entanglement, denoted as Eij, representing the entanglement between nodes i and j. The routing algorithm aims to minimize the total path length while maximizing the utilization of topological entanglement. The core algorithm can be expressed as: φ(S1, S2, ..., SK) = argminP Σj=1N Lj(P), where P is a path from S1 to SK, and Lj(P) is the path length of path P. The minimization is performed subject to constraints related to topological entanglement and network topology.