⚛️ ◆ Frontier — not yet benchmarked Ch.12 Quantum Technology

Quantum Networks & Repeaters

Quantum Networks — Entanglement Distribution & Repeaters · Quantum Networking

Build a quantum internet — distribute entanglement over continental distances by beating fibre loss with repeaters and memories.

📋 The problem

A quantum internet needs entanglement shared over long distances, but photon loss kills direct transmission exponentially. Quantum repeaters with memories and entanglement swapping restore a usable rate — if scheduled well.

🧗 Why it's a grand challenge

Memories decohere, swaps succeed only probabilistically, and the optimal cutoff/scheduling policy is a stochastic control problem over a large state space.

🧮 Governing model

R_direct ∝ η = e^{−L/L_att};   R_repeater ∝ (η^{1/n})·p_swap^{n−1}·f(τ_mem)

Entanglement-distribution rate over a repeater chain: direct transmission decays as R∝e^{−L/L_att}; n-segment repeaters with memories restore a polynomial scaling set by swap success and memory coherence.

Current best: Memory-based repeater links (quantum-network testbeds, Delft/Hefei)

🧭 Possible approaches

  • RL / optimal scheduling of swapping and cutoff policies
  • Link-layer protocol discovery
  • Co-optimization of memory quality vs rate

🎯 Build the benchmark

Maximize end-to-end entanglement rate at a fixed target fidelity over realistic repeater chains, vs direct transmission.

Metric: ent_rate — entangled pairs/s at 1000 km (higher better)

Datasets to start from: Repeater-chain link-budget corpus, Quantum-memory coherence dataset

☆ Build the benchmark — earn PWM →

🤖 Build an AI agent to solve it

An agent that designs and schedules repeater-chain protocols for a target distance and fidelity.

Once a benchmark exists, an AI4Science agent can iterate solutions against it — every verified solution earns PWM.

⚛ View the machine-readable principle (L1-922) → ← All grand hard problems

This is a frontier framing page — an open problem, not yet benchmarked or verified, unlike PWM's mature computational-imaging benchmarks.