  We examine the orbital-selective Mott transition in the non-hybridized
two-band Hubbard model using the dynamical mean-field theory. We find that the
orbital-selective Mott transition could be quantitatively depicted by the
{local two-qubit fidelity}. Furthermore, within the orbital-selective Mott
phase, the combined characteristics of the two orbitals lead to the presence of
quantum entanglement, which is characterized by the non-semi-integer values of
local two-qubit fidelity. It is demonstrated that the Hund's coupling results
in the ground states of both wide and narrow bands exhibiting the specific
superposition states, indicating the existence of quantum entanglement within
orbital-selective Mott phase. Without Hund's coupling, there are no specific
superposition states, nor does quantum entanglement occur within the
orbital-selective Mott phase. The mechanisms underlying the orbital-selective
Mott transition show prominent variations depending on the presence or absence
of Hund's coupling and its transverse terms.
