  The relativistic heavy-ion collisions create both hot quark-gluon matter and
strong magnetic fields, and provide an arena to study the interplay between
quantum chromodynamics and quantum electrodynamics. In recent years, it has
been shown that such an interplay can generate a number of interesting quantum
phenomena in hadronic and quark-gluon matter. In this short review, we first
discuss some properties of the magnetic fields in heavy-ion collisions and then
give an overview of the magnetic field-induced novel quantum effects. In
particular, we focus on the magnetic effect on the heavy flavor mesons, the
heavy-quark transports, and the phenomena closely related to chiral anomaly.
