  We study a topological phase in the dissipative Kitaev chain described by the
Markovian quantum master equation. Based on the correspondence between
Lindbladians, which generate the dissipative time-evolution, and non-Hermitian
matrices, Lindbladians are classified in terms of non-Hermitian topological
phases. We find out that the Lindbladian retains PT symmetry which is the
prominent symmetry of open systems and then all the bulk modes can have a
common lifetime. Moreover, when open boundary conditions are imposed on the
system, the edge modes which break PT symmetry emerge, and one of the edge
modes has a zero eigenvalue.
