Quantum Circuit Optimization with LLMs under a Structured Guideline

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The cost of quantum cryptanalysis is dominated by the quantum circuit of the target cipher. Estimating the quantum attack cost of a cipher thus requires building that circuit and measuring its qubit count, Toffoli count, and Toffoli depth. This is manual work that needs expert knowledge and must be redone for each cipher and each cost target. Large language models handle ordinary programming well, but their use in constructing quantum circuits for ciphers is still limited. In this work, we colle