The quantum computing approach takes quite a bit of setup - an actual Hartree-Fock calculation or more. The advantage of QC is that the exact answer (Full CI) can be obtained easily[1] by the QC from that starting point. (But going from HF to FCI is the hard part classically - I think Full CI scales exponentially in the system size)
[1] as much as anything with quantum computers can be called _easy_
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