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What is the difference between wire cut and gate cut #713

@Iuftmensch

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@Iuftmensch

If wire cut and gate cut both follow the same rules for the decomposition of gates, why is it so hard to cut some certain quantum circuits(for example, vqe_uccsd_n4 in QASMBench) using wire cut while it is more efficient to cut by gate cut. (not sure if I understand the wire cut and gate cut correctly; I applied the "Gate Cutting to Reduce Circuit Width" and "Automatically find cuts" for the implementation above, and set the subcircuit size as 2 for both)

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