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Fluctuations of quantum spins play a crucial role in the emergence of exoticmagnetic phases and excitations. The lack of the charge degree of freedom ininsulating quantum magnets, however, precludes such fluctuations from mediatingelectronic transport. Here we show that the quantum fluctuations of a localizedfrustrated magnet induce strong proximitized charge transport of the conductionelectrons in a synthetic heterostructure comprising an epitaxial$\rm{Bi_{2}Ir_{2}O_{7}}$ ultrathin film on the single crystal of$\rm{Yb_{2}Ti_{2}O_{7}}$. The proximity effects are evidenced by the scalingbehavior of the $\rm{Bi_{2}Ir_{2}O_{7}}$ resistance in correspondance with thedynamic scaling of the dynamic spin correlation function of$\rm{Yb_{2}Ti_{2}O_{7}}$, which is a result of quantum fluctuations near amulti-phase quantum critical point. The proximitized transport in$\rm{Bi_{2}Ir_{2}O_{7}}$ can be effectively tuned by magnetic field throughsuppressing the quantum spin fluctuations as well as inducing transitions viamagnetic anisotropy in $\rm{Yb_{2}Ti_{2}O_{7}}$. Our work establishes a newpathway for harnessing quantum spin fluctuations in magnetic insulators withelectric transport, offering exciting prospects for potential applications inthe realm of quantum spintronics.

Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\rm{Bi_{2}Ir_{2}O_{7}/Yb_{2}Ti_{2}O_{7}}$