  Recently, a weak form of quantum steering, i.e., certification of quantum
steering in a one-sided semi-device-independent way, has been formulated
[Jebarathinam et al. Phys. Rev. A 108, 042211 (2023)]. In this work, for
two-qubit states, we study the relationships between the quantification of
one-sided semi-device-independent steerability and information-theoretic
quantification of simultaneous correlations in mutually unbiased bases [Wu et
al. Scientific Reports 4, 4036 (2014)]. For two-qubit states that belong to
Bell-diagonal states, quantifying one-sided semi-device-independent
steerability provides an operational characterization of information-theoretic
quantification of simultaneous correlations in mutually unbiased bases. For
another class of two-qubit states, we show that quantifying one-sided
semi-device-independent steerability provides operational quantification of
simultaneous correlations in mutually unbiased bases going beyond the above
information-theoretic quantification. We invoke quantum steering ellipsoid
formalism to shed intuitions on our operational characterization of
simultaneous correlations in complementary bases of two-qubit states that we
consider.
