  Entangled states are crucial for modern quantum enabled technology which
makes their creation key for future developments. In this paper, a robust
quantum control methodology is presented to create entangled states of two
typical classes, the W and the Greenberger-Horne-Zeilinger (GHZ). It was
developed from the analysis of a chain of alkali atoms $^{87}Rb $ interaction
with laser pulses, which lead to the two-photon transitions from the ground to
the Rydberg states with a predetermined magnetic quantum number. The
methodology is based on the mechanism of two-photon adiabatic passage using
overlapping chirped pulses and interplaying the Rabi frequency, the one-photon
detuning, and the strength of the Rydberg-Rydberg interactions.
