Coherent control of a nuclear spin via interactions with a rare-earth ion in the solid-state

Kavli Affiliate: Viatcheslav V. Dobrovitski

| First 5 Authors: Mehmet T. Uysal, Mouktik Raha, Songtao Chen, Christopher M. Phenicie, Salim Ourari

| Summary:

Individually addressed Er$^{3+}$ ions in solid-state hosts are promising
resources for quantum repeaters, because of their direct emission in the
telecom band and compatibility with silicon photonic devices. While the
Er$^{3+}$ electron spin provides a spin-photon interface, ancilla nuclear spins
could enable multi-qubit registers with longer storage times. In this work, we
demonstrate coherent coupling between the electron spin of a single Er$^{3+}$
ion and a single $I=1/2$ nuclear spin in the solid-state host crystal, which is
a fortuitously located proton ($^1$H). We control the nuclear spin using
dynamical decoupling sequences applied to the electron spin, implementing one-
and two-qubit gate operations. Crucially, the nuclear spin coherence time
exceeds the electron coherence time by several orders of magnitude, because of
its smaller magnetic moment. These results provide a path towards combining
long-lived nuclear spin quantum registers with telecom-wavelength emitters for
long-distance quantum repeaters.

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