  A combination of the digitized shortcut-to-adiabaticity (STA) and the
sequential digitized adiabaticity is implemented in a superconducting quantum
device to determine electronic states in two example systems, the H2 molecule
and the topological Bernevig-Hughes-Zhang (BHZ) model. For H2, a short
internuclear distance is chosen as a starting point, at which the ground and
excited states are obtained via the digitized STA. From this starting point, a
sequence of internuclear distances is built. The eigenstates at each distance
are sequentially determined from those at the previous distance via the
digitized adiabaticity, leading to the potential energy landscapes of H2. The
same approach is applied to the BHZ model, and the valence and conduction bands
are excellently obtained along the X-{\Gamma}-X linecut of the first Brillouin
zone. Furthermore, a numerical simulation of this method is performed to
successfully extract the ground states of hydrogen chains with the lengths of 3
to 6 atoms.
