  The black hole information paradox is the result of contradiction between
Hawking's semi-classical argument, which dictates that the quantum coherence
should be lost during the black hole evaporation and the fundamental principles
of quantum mechanics, the evolution of pure states to pure states. For over
three decades, this contradiction has been one of the major obstacles to the
ultimate unification of quantum mechanics and general relativity. Recently, a
final-state boundary condition inside the black hole was proposed to resolve
this contradiction for bosons. However, no such a remedy exists for fermions
yet even though Hawking effect for fermions has been studied for sometime.
Here, I report that the black hole information paradox can be resolved for the
fermions by imposing a final state boundary condition, which resembles local
measurement with post selection. In this scenario, the evaporation can be seen
as the post selection determined by random unitary transformation. It is also
found that the evaporation processes strongly depends on the boundary condition
at the event horizon. This approach may pave the way towards the unified theory
for the resolution of information paradox and beyond.
