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Low-loss, high frequency acoustic resonators cooled to millikelvintemperatures are a topic of great interest for application to hybrid quantumsystems. When cooled to 20 mK, we show that resonant acoustic phonon modes in aBulk Acoustic Wave (BAW) quartz resonator demonstrate exceptionally low loss(with $Q$-factors of order billions) at frequencies of 15.6 and 65.4 MHz, witha maximum $f.Q$ product of 7.8$\times10^{16}$ Hz. Given this result, we showthat the $Q$-factor in such devices near the quantum ground state can be fourorders of magnitude better than previously attained. Such resonators possessthe low losses crucial for electromagnetic cooling to the phonon ground state,and the possibility of long coherence and interaction times of a few seconds,allowing multiple quantum gate operations.

Extremely Low-Loss Acoustic Phonons in a Quartz Bulk Acoustic Wave Resonator at Millikelvin Temperature