Carve Q Quantum Driving Repair

---
name: carve-q-quantum-driving-repair
category: quantum
description: Verifier-shielded quantum-AI search architecture for certified autonomous driving repair. Combines Grover/Dür-Høyer minimum finding with classical safety certification.
arxiv: 2606.06531
published: 2026-06-03
categories: cs.AI, quant-ph
activation: "carve-q, quantum-ai, verifier-shielded, autonomous-driving, quantum-minimum-finding, grover-search, certified-autonomy"
---

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

## Overview

CARVE-Q introduces a **verifier-shielded quantum-AI search architecture** for autonomous driving repair after a correct driving veto. It applies quantum minimum finding (Grover/Dür-Høyer algorithm) to multi-agent repair lattices while keeping all safety authority classical.

## Core Methodology

### Verifier-Shielded Architecture
- **Quantum proposes**: Quantum minimum finding searches the repair lattice
- **CARVE certifies**: Classical authority validates all proposed repairs
- **Black-box lattice**: Product lattice M = ∏|Aⱼ| for multi-owner repair
- **Query separation**: O(√M) quantum vs Θ(M) classical worst-case queries

### Key Technical Components
1. **Repair lattice construction**: Finite lattice of feasible joint repairs
2. **Quantum oracle design**: Black-box access to repair lattice
3. **Classical verifier**: Certificate preservation and safety validation
4. **Priority non-elicitation**: Finite-precision reversible oracle constructibility

### Performance
- Validated up to 65,536 assignments
- 100% right-of-way respect on Lanelet2-grounded INTERACTION replay
- 100% blame consistency, zero priority false positives
- Quadratic speedup in query complexity

## Implementation Patterns

### Trust-Bounded Quantum-AI
```
┌─────────────────┐    ┌──────────────────┐
│  Quantum Search │───▶│ Classical Verify │
│  (O(√M) queries)│    │  (Certificate)   │
└─────────────────┘    └──────────────────┘
     Black-box              Safety Authority
     Lattice Access         Non-negotiable
```

### Certificate Structure
- Binding rule identification
- Selected joint repair
- Right-of-way-scaled cooperation envelope
- Responsibility-weighted cost split
- Ego-only fallback specification

## When to Use

- Multi-agent autonomous systems requiring certified safety
- Quantum-classical hybrid architectures with trust boundaries
- Safety-critical AI with verifiable decision-making
- Any system needing quantum speedup with classical certification

## Pitfalls

- Quantum speedup only applies to black-box search, not the entire pipeline
- Classical verifier must remain fully authoritative
- Reversible oracle construction requires careful finite-precision handling
- Query complexity advantage assumes oracle access is the bottleneck

## Verification Steps

1. Validate oracle constructibility (reversible, finite-precision)
2. Verify certificate soundness (safety constraints satisfied)
3. Check priority non-elicitation (no false positives)
4. Confirm query separation (O(√M) achieved in practice)