  There is a strong interest in quantum search algorithms, particularly in
problems with multiple adjacent solutions. In the hypercube, part of the energy
of the quantum system is retained in states adjacent to the target states,
decreasing the chances of the target states being observed. This paper applies
the Multiself-loop Lackadaisical Quantum Walk with Partial Phase Inversion to
search for multiple adjacent marked vertices on the hypercube. Aspects like the
type of marked vertices are considered in addition to using multiple self-loops
and weight compositions. Two scenarios are analyzed. Firstly, the relative
position of non-adjacent marked vertices together with adjacent marked
vertices. Secondly, only adjacent marked vertices are analyzed. Here, we show
experimentally that, with partial phase inversion, a quantum walk can amplify
the probability amplitudes of the target states, reaching success probabilities
of values close to $1$. We also show that the relative position of non-adjacent
marked vertices does not significantly influence the search results. Our
results demonstrate that the partial phase inversion of target states is a
promising alternative to search adjacent solutions with quantum walks, which is
a key capacity for real search applications.
