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Coherence times of Ce$^{3+}$ spin states in CaWO$_{4}$ crystal

We study the coherence times and perform manipulations on the lowest-energy states of trivalent cerium ion in calcium tungstate crystal. We find the phase memory time reaching 14.2 $μ$s and the time of coherent manipulations reaching 0.3 $μ$s in the low-temperature limit, the latter can potentially be elongated by using the rotation angle and off-resonance error correction schemes.