  In this work we report about the fundamental correspondence between the high
efficiency of the broadband quantum memory on multifrequency absorbers in the
single-mode cavity and the topology of the observed frequency lines. We have
found the spectral-topological matching condition by using the multiparametric
optimization of the absorber characteristics which makes it possible to improve
considerably the spectral efficiency of quantum memory under conditions of a
real experiment. The elaborated approach opens the possibility for the creation
of the broadband quantum interface consisting of a small number of the
absorbers and characterized by the super-high quantum efficiency of more than
99.9%.
