In quantum repeater networks, the varying stability of entangled quantum links makes dynamic topology resilience an emerging issue. Here we define an efficient topology adaption method for quantum repeater networks. The model assumes the random failures of entangled links and several parallel demands from legal users. The shortest path defines a set of entangled links for which the probability of stability is above a critical threshold. The scheme is utilized in a base-graph of the overlay quantum network to provide an efficient shortest path selection for the demands of all users of the network. We study the problem of entanglement assignment in a quantum repeater network, prove its computational complexity, and show an optimization procedure. The results are particularly convenient for future quantum networking, quantum-internet, and experimental long-distance quantum communications.
In quantum repeater networks, the varying stability of entangled quantum links makes dynamic topology resilience an emerging issue. Here we define an efficient topology adaption method for quantum repeater networks. The model assumes the random failures of entangled links and several parallel demands from legal users. The shortest path defines a set of entangled links for which the probability of stability is above a critical threshold. The scheme is utilized in a base-graph of the overlay quantum network to provide an efficient shortest path selection for the demands of all users of the network. We study the problem of entanglement assignment in a quantum repeater network, prove its computational complexity, and show an optimization procedure. The results are particularly convenient for future quantum networking, quantum-internet, and experimental long-distance quantum communications.
Quantum repeater networks are a fundamental of any future quantum internet and long-distance quantum communications. The entangled quantum nodes can communicate through several different levels of entanglement, leading to a heterogeneous, multilevel network structure. The level of entanglement between the quantum nodes determines the hop distance and the probability of the existence of an entangled link in the network. Here, we define a decentralized routing for entangled quantum networks. The proposed method allows an efficient routing to find the shortest paths in entangled quantum networks by using only local knowledge of the quantum nodes. We give bounds on the maximum value of the total number of entangled links of a path. The proposed scheme can be directly applied in practical quantum communications and quantum networking scenarios.
With the emergence of the Quantum Internet, the need for advanced quantum networking techniques has significantly risen. Various models of quantum repeaters have been presented, each delineating a unique strategy to ensure quantum communication over long distances. We focus on repeaters that employ entanglement generation and swapping. This revolves around establishing remote end-to-end entanglement through repeaters, a concept we denote as the “quantum-native” repeaters (also called “first-generation” repeaters in some literature). The challenges in routing with quantum-native repeaters arise from probabilistic entanglement generation and restricted coherence time. Current approaches use synchronized time slots to search for entanglement-swapping paths, resulting in inefficiencies. Here, we propose a new set of asynchronous routing protocols for quantum networks by incorporating the idea of maintaining a dynamic topology in a distributed manner, which has been extensively studied in classical routing for lossy networks, such as using a destination-oriented directed acyclic graph or a spanning tree. The protocols update the entanglement-link topology asynchronously, identify optimal entanglement-swapping paths, and preserve unused direct-link entanglements. Our results indicate that asynchronous protocols achieve a larger upper bound with an appropriate setting and significantly higher entanglement rate than existing synchronous approaches, and the rate increases with coherence time, suggesting that it will have a much more profound impact on quantum networks as technology advances.
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.
Quantum networking has been attracting growing attention in both academia and industry during recent years. Although many routing protocols have been proposed to optimize the network layer of quantum networks, another key networklayer problem is under-explored: the topology design problem. Existing work is limited to using structure topologies such as a ring or grid, using randomly generated topologies, or using existing Internet backbone infrastructure. Whether these choices are desired for quantum networks is not fully explained. We propose the quantum network topology design problem, for which a set of end users are given and we need to compute a set of repeaters and their locations and connectivities while ensuring the network performance, such as throughput, is optimized under the same infrastructure cost (e.g., number of repeaters). We present the methodology of designing topologies based on the unique characteristics of entanglement distribution networks and propose an algorithm called TriPlace to compute a topology for a given set of end users in different locations of a geographic region. The simulation results show that TriPlace incurs a lower infrastructure cost than all existing solutions while achieving similar throughput performance as the best of these solutions. We believe this work will start a new research problem for quantum networks and attract more future work.
This paper proposes a novel distributed routing protocol for quantum networks leveraging the topological properties of quantum entanglement. The core idea is to construct a network topology based on entangled states between nodes, enabling communication through the instantaneous correlation inherent in entanglement. This approach aims to overcome the limitations of traditional routing protocols, particularly in terms of speed and security. We define a routing algorithm that dynamically adjusts the entanglement states to facilitate data transmission, effectively creating a network with inherently high bandwidth and resilience to eavesdropping. The algorithm is based on a graph theory framework where nodes represent quantum devices and edges represent entangled pairs. The routing process involves identifying the shortest path through the entanglement network, leveraging the correlated states for rapid information transfer. We explore the mathematical underpinnings of this protocol, outlining key formulas for calculating entanglement metrics, path distances, and routing decisions. The theoretical framework presented here provides a foundation for future research and development in quantum network architecture and routing strategies.
This paper investigates the self-organization of dynamic quantum entanglement topological networks. The core claim is to leverage the dynamic nature of topological entanglement to enable adaptive topological rearrangement among quantum network nodes, ultimately optimizing quantum information transmission efficiency and resilience. The proposed mechanism utilizes a topological sensitivity mapping based on quantum entanglement, combined with machine learning algorithms to predict network topology changes and control adjustments to entangled states between nodes for self-organization. We demonstrate a novel approach to constructing quantum networks with enhanced adaptability and performance compared to traditional static topological designs. The key mathematical framework is presented, focusing on entanglement quantification, network topology representation, and the optimization algorithms used for self-organization. The research addresses a critical gap in current topological quantum network design by introducing a dynamic, self-adaptive system. The results suggest significant potential for future quantum network architectures, particularly in scenarios demanding high bandwidth, robustness, and scalability.