# Fidelity-Guarantee Entanglement Routing in Quantum Networks

arXiv: https://arxiv.org/abs/2111.07764 · HTML: https://mlsanity.com/paper/2111.07764/

## Key facts

- Cited by 4 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Nov 2021.

## Built on by (most cited first, 4 of 4)

- [RELiQ: Scalable Entanglement Routing via Reinforcement Learning in Quantum Networks](https://mlsanity.com/paper/2511.22321/) (2025)
- [Adaptive Entanglement Routing with Deep Q-Networks in Quantum Networks](https://mlsanity.com/paper/2503.02895/) (2025)
- [Robust Belief-State Policy Learning for Quantum Network Routing Under Decoherence and Time-Varying Conditions](https://mlsanity.com/paper/2509.08654/) (2025)
- [SatQNet: Satellite-assisted Quantum Network Entanglement Routing Using Directed Line Graph Neural Networks](https://mlsanity.com/paper/2604.09306/) (2026)

## Abstract (arXiv)

Entanglement routing establishes remote entanglement connection between two arbitrary nodes, which is one of the most important functions in quantum networks. The existing routing mechanisms mainly improve the robustness and throughput facing the failure of entanglement generations, which, however, rarely include the considerations on the most important metric to evaluate the quality of connection, entanglement fidelity. To solve this problem, we propose purification-enabled entanglement routing designs to provide fidelity guarantee for multiple Source-Destination (SD) pairs in quantum networks. In our proposal, we first consider the single S-D pair scenario and design an iterative routing algorithm, Q-PATH, to find the optimal purification decisions along the routing path with minimum entangled pair cost. Further, a low-complexity routing algorithm using an extended Dijkstra algorithm, Q-LEAP, is designed to reduce the computational complexity by using a simple but effective purification decision method. Then we consider the common scenario with multiple S-D pairs and design a greedy-based algorithm considering resource allocation and rerouting process for multiple routing requests. To verify the effectiveness and superiority of the proposed algorithms, extensive simulations are conducted, and the simulation results show that the proposed algorithms not only can provide fidelity-guarantee routing solutions, but also has superior performance in terms of throughput, fidelity of end-to-end entanglement connection, and resource utilization ratio, compared with the existing routing scheme.
