Okay, so you're a quantum physicist and you can answer my question!

My understanding of QM is that a quantum's system's state is suddenly and discontinuously changed by a measurement.

My understanding of this article is a bit confused, and I think that there are two possible things we could be seeing: 1. Quantum collapses of superpositions actually do take time ("This Changes Everything") 2. This particular quantum system is not actually being measured, but is oscillating in superposition in some odd way. ("Just a Particular System")

Which case is it?