Methods and systems for sequencing a biological molecule or polymer, e.g., a nucleic acid, are provided. One or more donor labels, which are attached to a pore or nanopore, may be illuminated or otherwise excited. A polymer having a monomer labeled with one or more acceptor labels, may be translocated through the pore. Either before, after or while the labeled monomer of the polymer passes through, exits or enters the pore, energy may be transferred from the excited donor label to the acceptor label of the monomer. As a result of the energy transfer, the acceptor label emits energy, and the emitted energy is detected in order to identify the labeled monomer of the translocated polymer and to thereby sequence the polymer.