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CARVE-Q: Quantum-Proposed, Classically Certified Interactive Driving Repair

CARVE-Q is a quantum-AI hybrid architecture for certified repair of vetoed driving maneuvers. It uses quantum minimum finding to accelerate repair enumeration while keeping safety certification classical, achieving provable speedup and 100% compliance.

SourcearXiv AIAuthor: Yifan Wang

[2606.06531] CARVE-Q: Quantum-Proposed, Classically Certified Interactive Driving Repair

[Submitted on 3 Jun 2026]

Title:CARVE-Q: Quantum-Proposed, Classically Certified Interactive Driving Repair

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Abstract:The critical question after a correct driving veto is not only whether a maneuver is unsafe, but whether the blocked interaction admits a lawful, auditable, and responsibility-bounded repair. Prediction and game-theoretic planners can suggest plausible cooperation, yet they do not return a proof that the repair respects hard rules, right-of-way, cost allocation, and ego fallback. We introduce CARVE, Certified Affordable Repair of Vetoed maneuvers via Envelopes, a certificate architecture for prediction-free interactive repair. Given a vetoed maneuver, CARVE constructs a finite repair lattice and emits a structured certificate recording the binding rule, selected joint repair, right-of-way-scaled cooperation envelope, responsibility-weighted cost split, and ego-only fallback. This certificate view reveals the algorithmic bottleneck: multi-owner repair induces a product lattice $M = \prod_j |\mathcal{A}_j|$. We therefore introduce CARVE-Q, a verifier-shielded quantum-AI search layer that applies quantum minimum finding only to this black-box lattice while leaving all safety authority classical. In the conservative verifier-oracle model, exact classical minimum finding requires $\Theta(M)$ queries in the worst case, whereas Durr-Hoyer/Grover minimum finding uses $O(\sqrt{M})$ oracle queries with high probability. We prove verifier-shielded certificate soundness, priority non-elicitation, black-box query separation, and finite-precision reversible-oracle constructibility. We then demonstrate state-vector minimum finding on CARVE repair oracles up to 65,536 assignments and validate certificate preservation on Lanelet2-grounded INTERACTION replay with 100% right-of-way respect, 100% blame consistency, and zero priority false positives. The result is a trust-bounded quantum-AI pattern for certified autonomy: quantum proposes; CARVE certifies.

Comments: 9 pages, 3 figures

Subjects:

Artificial Intelligence (cs.AI); Quantum Physics (quant-ph)

Cite as: arXiv:2606.06531 [cs.AI]

(or arXiv:2606.06531v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2606.06531

arXiv-issued DOI via DataCite

Submission history

From: Yifan Wang [view email] [v1] Wed, 3 Jun 2026 17:38:23 UTC (4,346 KB)

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