I looked at their one of their patents and it looks like they might be using something like rolling circle amplification instead of traditional amplification techniques for faster speed (I don't know off sure but it's one of the options in their claims). Kind of like LAMP pcr where you can amplify really quickly to get a signal really rapidly (although the dna at the end isn't really useable for further synthetic biology - it just provides a strong signal). They also mention a couple other types in this patent like strand displacement etc, so there's a lot of options they could be using.
Edit: the keyword to look for might be "isothermal" amplification, which means same - temperature amplification. Again, no clue if that's what they're using, I just see that they have patents on using isothermal techniques. These allow for amplifying DNA without cycling the temperature, usually letting the reaction accelerate quickly until a signal is detected, and it can accelerate really quickly sometimes. You know those videos of supercooled liquid water where you bump the bottle and the whole thing freezes? Imagine that you have a situation like that where adding non-coronavirus dna bumps the bottle incorrectly and nothing happens, while adding coronavirus dna makes the whole thing freezes. It's a rapid signal that just gets generated, but often (like with lamp) you just end up with a polymerizated mess that you can't use for DNA engineering in synthetic biology which is why you might use your temp. cycling methods for those uses. Also, they're good for telling you if something is or isn't there, but not so good at telling you how much dna you started with. To figure that out you again use a cycling reaction with the amount of dna doubling each step until it levels out so you know how many doublings happened and can calculate backwards (quantitative rt-pcr, or qPCR).
https://patents.google.com/patent/US8900828
https://en.m.wikipedia.org/wiki/Rolling_circle_replication
https://en.m.wikipedia.org/wiki/Loop-mediated_isothermal_amp...