  We present the quantum model of the asymptotic dynamics underlying the
Belinski-Khalatnikov-Lifshitz (BKL) scenario. The symmetry of the physical
phase space enables making use of the affine coherent states quantization. Our
results show that quantum dynamics is regular in the sense that during quantum
evolution the expectation values of all considered observables are finite. The
classical singularity of the BKL scenario is replaced by the quantum bounce
that presents a unitary evolution of considered gravitational system. Our
results suggest that quantum general relativity is free from singularities.
