quantum-network-routing-optimization

name

quantum-network-routing-optimization

description

Quantum-Inspired Hamiltonian Optimization for large-scale QKD network routing methodology. Combines stochastic tensor networks with adaptive congestion routing for optimizing latency, secret key rate, and security in quantum networks. Use when: (1) designing QKD network routing, (2) optimizing quantum network traffic, (3) quantum key distribution infrastructure, (4) adaptive network congestion management, (5) quantum communication system design.

Quantum Network Routing Optimization

Core Idea

Joint optimization of latency, secret key generation rate, congestion, finite capacity, and security constraints in QKD networks using quantum-inspired Hamiltonian optimization with stochastic tensor networks.

Methodology

Step 1: Network State Modeling

Model QKD network as a weighted graph:

• Nodes: quantum repeaters/relay stations
• Edges: quantum channels with finite secret key capacity
• Edge weights: latency, current congestion, security level

Step 2: Hamiltonian Formulation

Construct optimization Hamiltonian: $$H = \alpha \cdot H_{latency} + \beta \cdot H_{key-rate} + \gamma \cdot H_{congestion} + \delta \cdot H_{security}$$

Where each term encodes a different optimization objective.

Step 3: Stochastic Tensor Network Solution

Solve using tensor network methods:

1. Represent routing space as tensor network state
2. Apply stochastic updates to explore solution space
3. Converge to minimum-energy (optimal) routing configuration

Step 4: Adaptive Congestion Routing

Dynamic rerouting when:

• Edge capacity drops below threshold
• Security parameters change
• Traffic pattern shifts detected

Activation Keywords

• quantum network routing
• QKD network optimization
• quantum key distribution routing
• adaptive quantum congestion
• quantum-inspired Hamiltonian routing
• 量子网络路由
• 量子密钥分配网络
• tensor network routing

Error Handling

• If tensor network dimension too large: apply truncation with controlled error bound
• If no feasible route found: relax security constraints temporarily and re-optimize

References

• arXiv:2605.27425 - Quantum-Inspired Hamiltonian Optimization, Stochastic Tensor Networks and Adaptive Congestion Routing for Large-Scale QKD Networks