Position: Quantum Program Generation Must Prioritize Validity Over Probabilistic Scaling

Short summary

This position paper argues that scaling up model parameters is the wrong approach for quantum circuit synthesis because valid circuit designs decay exponentially with qubit count, making post-hoc filtering intractable. The authors propose shifting from human-centric copilots to verifier-centric agents that integrate hierarchical constraints, topological masks, and symbolic proxies directly into generation. They contend that verification-aware architectures, not imitation-based scaling, can bridge the syntax-semantics gap in quantum program generation.

• •Scaling hypothesis is a directional error for quantum circuit synthesis—valid designs decay exponentially with qubits
• •Proposes verifier-centric agents over human-centric copilots, embedding constraints directly into generation
• •Verification-aware architectures offer a viable path for modular quantum program generation

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