For a fully connected ferromagnetic Ising model, fixing spins improves quantum annealing only when the rescaling parameter is small; at large rescaling it hurts.
The Hamiltonian of the Ising model, representing the problem to be solved, is denoted as Hp
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Impact of Fixing Spins in a Quantum Annealer with Energy Rescaling
For a fully connected ferromagnetic Ising model, fixing spins improves quantum annealing only when the rescaling parameter is small; at large rescaling it hurts.