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a big goal of our paper was to really highlight how useful these operators really are. making it fast was more of a side-goal, so there would be less to complain about, as there was already a lot of disbelief, and we got comments such as it being a “theoretical curiosity”. i spent over a year experimenting with different approaches (there’s an initial draft on arXiv from 2023 where lookarounds had much worse complexity), but finally we found a combination that works extremely well in practice, and it helped me find a deeper intuition for what works both in theory and in the real world.
PacBio was founded in 2004 to develop sequencing methods based on work done in the labs of biophysicist Watt Webb and engineer Harold Craighead, both at Cornell University. The previous year, the two had collaborated to create zero-mode waveguides (ZMWs): small containers just big enough to hold a single DNA polymerase and containing tiny holes at the bottom through which light could be detected. They were able to fix a DNA polymerase to the bottom of a ZMW and detect the incorporation of individual fluorescent “C” nucleotides through the holes, which fed into a microscope capable of detecting light emissions.
Graceware never responded to that request.