  Electrostatically defined quantum dots (QDs) in Bernal stacked bilayer
graphene (BLG) are a promising quantum information platform because of their
long spin decoherence times, high sample quality, and tunability. Importantly,
the shape of QD states determines the electron energy spectrum, the
interactions between electrons, and the coupling of electrons to their
environment, all of which are relevant for quantum information processing.
Despite its importance, the shape of BLG QD states remains experimentally
unexamined. Here we report direct visualization of BLG QD states by using a
scanning tunneling microscope. Strikingly, we find these states exhibit a
robust broken rotational symmetry. By using a numerical tight-binding model, we
determine that the observed broken rotational symmetry can be attributed to low
energy anisotropic bands. We then compare confined holes and electrons and
demonstrate the influence of BLG's nontrivial band topology. Our study
distinguishes BLG QDs from prior QD platforms with trivial band topology.
