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The Agent Finds a Cheaper Circuit. The Verifier Decides.
An automated search loop improves three quantum-compilation problems while a frozen exact checker certifies every submitted program before any result counts.

Summary
An automated search loop improves three quantum-compilation problems while a frozen exact checker certifies every submitted program before any result counts.
Quantum-circuit compilation contains optimization problems that are difficult to solve but sometimes efficient to verify. This work turns that asymmetry into an agent workflow: a researcher and an agent formulate the challenge, the agent builds an exact verifier, and the verifier is tested against solved cases, deliberately broken answers and published results before search begins. Later agents iteratively submit programs and notes, with only verifier-certified candidates retained. Across fermion-to-qubit encoding, Hamiltonian layout and unitary synthesis, the authors report cost reductions of up to 73 percent at the largest tested sizes and better results than a state-of-the-art fermion-to-qubit optimizer. The method applies only when correctness and objective value can be checked exactly and efficiently; it does not establish general quantum advantage or reliable automated discovery without a sound verifier.
Why it matters
An automated search loop improves three quantum-compilation problems while a frozen exact checker certifies every submitted program before any result counts.
Limits and context
- Later agents iteratively submit programs and notes, with only verifier-certified candidates retained.
- The method applies only when correctness and objective value can be checked exactly and efficiently; it does not establish general quantum advantage or reliable automated discovery without a sound verifier.
Key claims
An automated search loop improves three quantum-compilation problems while a frozen exact checker certifies every submitted program before any result counts.
Qualification: Later agents iteratively submit programs and notes, with only verifier-certified candidates retained.
Evidence: source-2026-10-25-001
Sources
- arXiv preprint 2610.31352, original v1arXiv · primary research
Corrections
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