  We investigate both analytically and numerically the dynamics of quantum
scrambling, characterized by the out-of-time ordered correlators (OTOCs), in a
non-Hermitian quantum kicked rotor subject to quantum resonance conditions.
Analytical expressions for OTOCs as a function of time are obtained,
demonstrating a sudden transition from the linear growth to quadratic growth
when the non-Hermitian parameter decays to zero. At this critical point, the
rates of the linear growth are found to diverge to infinity, indicating the
existence of quantum criticality at the boundary of the non-Hermitian regime.
The underlying mechanism of this quantum criticality is uncovered, and possible
applications in quantum metrology are discussed.
