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Computational Interference via Verified Causal DAG

March 2026 · AetherNet Labs · AetherNet Labs

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Abstract. We construct a structural mapping between quantum computational interference and the search dynamics of a Verified Causal DAG under economic constraints. Specific computational properties previously thought to require quantum hardware — destructive interference of incorrect paths, amplitude amplification of correct paths — emerge naturally from the protocol's slashing and challenge mechanics on classical hardware.

1. Setup

We model agent search over solution space as walks on a verified causal DAG. Stake represents amplitude; settlement represents measurement.

2. Destructive Interference

Slashing of incorrect paths produces a structural analog of destructive interference: incorrect branches lose amplitude as challenges accumulate.

3. Amplification

Reputation routing concentrates new amplitude on previously verified branches — an analog of amplitude amplification.

4. Limits

The mapping is structural, not physical: it does not provide quantum speedup over BQP problems, but it does explain why verified-DAG search outperforms naive search markets.

5. Conclusion

Economic incentives can simulate certain interference-like computational dynamics on classical hardware when the underlying graph is verified.

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