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Dynamical polarization of nuclear spin ensembles is of central importance formagnetic resonance studies, precision sensing and for applications in quantuminformation theory. Here we propose a scheme to generate long-lived singletpairs in an unpolarized nuclear spin ensemble which is dipolar coupled to theelectron spins of a Nitrogen Vacancy center in diamond. The quantum mechanicalback-action induced by frequent spin-selective readout of the NV centers allowsthe nuclear spins to pair up into maximally entangled singlet pairs.Counterintuitively, the robustness of the pair formation to dephasing noiseimproves with increasing size of the spin ensemble. We also show how the pairednuclear spin state allows for enhanced sensing capabilities of NV centers indiamond.

Purification of an unpolarized spin ensemble into entangled singlet pairs