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Quantum annealing is explored as a resource for quantum information beyondsolution of classical combinatorial problems. Envisaged as a generator ofrobust interferometric probes, we examine a Hamiltonian of $N>> 1$uniformly-coupled spins subject to a transverse magnetic field. The discretemany-body problem is mapped onto dynamics of a single one-dimensional particlein a continuous potential. This reveals all the qualitative features of theground state beyond typical mean-field or large classical spin models. Itillustrates explicitly a graceful warping from an entangled unimodal tobi-modal ground state in the phase transition region. The transitional`Goldilocks' probe has a component distribution of width $N^{2/3}$ and exhibitscharacteristics for enhanced phase estimation in a decoherent environment. Inthe presence of realistic local noise and collective dephasing, we find thisprobe state asymptotically saturates ultimate precision bounds calculatedpreviously. By reducing the transverse field adiabatically, the Goldilocksprobe is prepared in advance of the minimum gap bottleneck, allowing theannealing schedule to be terminated `early'. Adiabatic time complexity of probepreparation is shown to be linear in $N$

Goldilocks Probes for Noisy Interferometry via Quantum Annealing to Criticality