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Box 49, Budapest, H-1525, Hungary \n Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, Muegyetem rkp. 3., Budapest, H-1111, Hungary \n MTA-BME Quantum Dynamics and Correlations Research Group, Budapest University of Technology and Economics, Muegyetem rkp. 3., Budapest, H-1111, Hungary \n Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, United States \n Export Date: 9 February 2024 \n Funding details: 2022-2.1.1-NL-2022-00004 \n Funding details: National Science Foundation, NSF, PHY-1748958 \n Funding details: Gordon and Betty Moore Foundation, GBMF, GBMF8690 \n Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFI, K142652 \n Funding text 1: We thank C. P. Moca, S. Sachdev, M. J. Rozenberg, B. K. Chakrabarti, and M. Müller for insightful discussions. I.L. acknowledges support from the Gordon and Betty Moore Foundation through Grant No. GBMF8690 to UCSB and from the National Science Foundation under Grant No. NSF PHY-1748958. A.K. acknowledges support from the National Research Development and Innovation Office (NKFIH) through Grant No. K142652. 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We extract the full numerically exact phase diagram, displaying a glassy phase with continuous replica symmetry breaking at small transverse fields and low temperatures. A paramagnetic phase emerges once thermal and quantum fluctuations melt the spin glass. We characterize both phases by extracting the order parameter as well as the static and dynamical local spin susceptibilities. The static susceptibility shows a plateau in the glassy phase, but it remains smooth across the phase boundary. For the imaginary part of the dynamical susceptibility, we find an Ohmic, i.e., linear in ω, scaling for small frequencies ω, with a slope independent of the transverse field. These results compare qualitatively well with ac susceptibility measurements on a dipole-coupled three-dimensional Ising magnet - the LiHoxY1-xF4 compound - in a transverse magnetic field. 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