Invented name, likely a combination of the prefix Sha- and Quanta.
Shaquanta is a modern American name created within the African American community. It follows a creative naming tradition of combining the popular prefix 'Sha-' with rhythmic suffixes or existing words like 'Quanta', which refers to a discrete quantity of energy in physics.
Less common today
Shaquanta isn't in the latest US Top 1000. It last peaked at #6,757 in 1990.
US births per 5-year period, 1990βpresent (SSA data).