  The interplay between superconductivity and ferromagnetism in the
superconductor/ferromagnet (SC/FM) heterostructures generates many interesting
physical phenomena, including spin-triplet superconductivity, superconducting
order parameter oscillation, and topological superconductivity. The unique
physical properties make the SC/FM heterostructures as promising platforms for
future superconducting spintronics and quantum computation applications. In
this article, we review important research progress of SC/FM heterostructures
from superconducting spintronics to quantum computation, and it is organized as
follows. Firstly, we discuss the progress of spin current carriers in SC/FM
heterostructures including Bogoliubov quasiparticles, superconducting vortex,
and spin-triplet Cooper pairs which might be used for long-range spin
transport. Then, we will describe the {\pi} Josephson junctions and its
application for constructing {\pi} qubits. Finally, we will briefly review
experimental signatures of Majorana states in the SC/FM heterostructures and
the theoretically proposed manipulation, which could be useful to realize
fault-tolerant topological quantum computing.
