  Due to Klein tunneling, electrostatic confinement of electrons in graphene is
not possible. This hinders the use of graphene for quantum dot applications.
Only through quasi-bound states with finite lifetime has one achieved to
confine charge carriers. Here we propose that bilayer graphene with a local
region of decoupled graphene layers is able to generate bound states under the
application of an electrostatic gate. The discrete energy levels in such a
quantum blister correspond to localized electron and hole states in the top and
bottom layers. We find that this layer localization and the energy spectrum
itself are tunable by a global electrostatic gate and that the latter also
coincides with the electronic modes in a graphene disk. Curiously, states with
energy close to the continuum exist primarily in the classically forbidden
region outside the domain defining the blister. The results are robust against
variations in size and shape of the blister which shows that it is a versatile
system to achieve tunable electrostatic confinement in graphene.
