  A method for quantum corrections of Hanbury-Brown/Twiss (HBT) interferometric
radii produced by semi-classical event generators is proposed. These
corrections account for the basic indistinguishability and mutual coherence of
closely located emitters caused by the uncertainty principle. A detailed
analysis is presented for pion interferometry in $p+p$ collisions at LHC energy
($\sqrt{s}=7$ TeV). A prediction is also presented of pion interferometric
radii for $p+$Pb collisions at $\sqrt{s}=5.02$ TeV. The
hydrodynamic/hydrokinetic model with UrQMD cascade as 'afterburner' is utilized
for this aim. It is found that quantum corrections to the interferometry radii
improve significantly the event generator results which typically overestimate
the experimental radii of small systems. A successful description of the
interferometry structure of $p+p$ collisions within the corrected hydrodynamic
model requires the study of the problem of thermalization mechanism, still a
fundamental issue for ultrarelativistic $A+A$ collisions, also for high
multiplicity $p+p$ and $p+$Pb events.
