Dissipative ground-state preparation on fault-tolerant quantum computers appears prohibitively expensive, but there are ways to make it cheaper, and I think I've found a few so I wrote them down this paper:
arxiv.org
Locality and filter design for dissipative ground-state preparation
Ground-state preparation is a fundamental challenge in quantum many-body physics, chemistry and materials science. Dissipative state-preparation techniques engineer a Lindbladian coupling to a bath th...