Abstract
The properties of rare-earth elements diluted in nonmagnetic crystals make them promising candidates for a quantum memory due to their limited Hilbert space. The control and readout of the qubit states require a highly sensitive measurement and large coupling of the spin ensemble with the electromagnetic mode of a superconducting resonator. We report sensitive detection of forbidden transitions of electronuclear states from the minority species of ${}^{155}\mathrm{Gd}$ and ${}^{157}\mathrm{Gd}$ isotopes, which opens the possibility of connecting quantum states with very different spin projections. Cavity perturbation measurements seen in the reflected signal allow the detection of about $7.6\ifmmode\times\else\texttimes\fi{}{10}^{7}$ spins and the measurement of phase memory loss rate and spin-photon coupling strength.
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