  We study the stability and characteristics of two-dimensional (2D)
quasi-isotropic quantum droplets (QDs) of fundamental and vortex types, formed
by binary Bose-Einstein condensate with magnetic quadrupole-quadrupole
interactions (MQQIs). The magnetic quadrupoles are built as pairs of dipoles
and antidipoles polarized along the x-axis. The MQQIs are induced by applying
an external magnetic field that varies along the x-axis. The system is modeled
by the Gross-Pitaevskii equations including the MQQIs and Lee-Huang-Yang
correction to the mean-field approximation. Stable 2D fundamental QDs and
quasi-isotropic vortex QDs with topological charges S<4 are produced by means
of the imaginary-time-integration method for configurations with the
quadrupoles polarized parallel to the systems two-dimensional plane. Effects of
the norm and MQQI strength on the QDs are studied in detail. Some results,
including an accurate prediction of the effective area, chemical potential, and
peak density of QDs, are obtained in an analytical form by means of the
Thomas-Fermi approximation. Collisions between moving QDs are studied by means
of systematic simulations.
