when discussing the synthesized elements the crew did well in deciphering the numbers in the names, until they didn't. So in the case of element 115 ununpentium(since named moscovium) they saw that pent was 5, unfortunately they didn't see that "un" in this context is "one", so considering the suffix "ium" is used to denote metallic elements, ununpentium roughly translates to "element 115"
In the talk about quantum computing Burnie made a great analogy of conventional computing as a series of switches, but couldn't put the pieces together to figure out what quantum computing could be. So, sticking with the analogy lets say we have a bank of 16 switches that can be either on or off, the amount of unique on-off combinations is 2^16(65,536), now let's say you need something more, so instead of switches you install dials(these dials go to 16), but since they're larger than the switches you can only install 8(this ratio however is just for the sake of even numbers and not necessarily indicative of actual size ratios). You sacrifice a bit of space in order to increase individual state capacity. So in the space of 16 switches you get a dial bank that allows for 16^8(4,294,967,296 or 65536 squared) unique combinations.
And finally we get to Schrodinger's cat. In 1935 physicist Erwin Schrodinger presented a thought experiment that went something like this:
You have a cat in a box(the crew was right so far), also in the box is a vial of poison, a small amount of a radioactive element, and some sort of detection object that is set to destroy the vial if it detects the decay of the radioactive element. Then because we do not know when the element will decay we cannot state with confidence that the cat is either alive or dead unless we open the box and observe the state of the system. Because of this we can say that between being placed in the box and being observed, the cat is in a superposition of being both alive and dead at the same time.
Now the most interesting thing about this is that at the time Schrodinger was pretty tired of the things people were coming up with concerning quantum states that he satirically put out the most asinine thing he could think of, a cat that was both alive and dead at the same time. As an aside I immediately think less of someone who uses the Schrodinger's Cat analogy unironically.