The invention is directed to a method for determining a monomer sequence of a polymer that is translocated through a nanopore. Monomers of the polymer are labeled with fluorescent labels such that in free solution fluorescent labels of adjacent monomers substantially quench each other and wherein the nanopore constrains fluorescent labels within its bore into a constrained state wherein no detectable fluorescent signal can be generated. By exciting the fluorescent label of each monomer as it exits the nanopore and transitions from a constrained state to a quenched state with an adjacent fluorescent label, a fluorescent signal can be generated by the exiting fluorescent label that allows its monomer to be identified, thereby permitting a monomer sequence to be determined from a sequence of fluorescent signals as the polymer translocates through the nanopore.