  The intricate interplay between unitary evolution and projective measurements
could induce entanglement phase transitions in the nonequilibrium dynamics of
quantum many-particle systems. In this work, we uncover loss-induced
entanglement transitions in non-Hermitian topological superconductors. In
prototypical Kitaev chains with local particle losses and varying hopping and
pairing ranges, the bipartite entanglement entropy of steady states is found to
scale logarithmically versus the system size in topologically nontrivial phases
and become independent of the system size in the trivial phase. Notably, the
scaling coefficients of log-law entangled phases are distinguishable when the
underlying system resides in different topological phases. Log-law to log-law
and log-law to area-law entanglement phase transitions are further identified
when the system switches between different topological phases and goes from a
topologically nontrivial to a trivial phase, respectively. These findings not
only establish the relationships among spectral, topological and entanglement
properties in a class of non-Hermitian topological superconductors, but also
provide an efficient means to dynamically reveal their distinctive topological
features.
