As the saying goes, prediction is hard, especially about the future. It seems Google is very secretive so far about what they have achieved, which also makes prediction super hard
I would expect the traditional banking system to be far more at risk than bitcoin. The complexity in their setup and the slowness of their changes is far greater.
And if traditional banking is in severe trouble, I don't think Bitcoin will be your biggest problem. Suppose you have your bitcoins safe and sound and society crumbles around you.
It could be more than a little unpleasant with or without valuables.
Also, I don't expect a sudden drop of a cheap quantum chip that you can just plug into your old computer. There will likely be quite some time to adjust after we know some more details
Even if technology was there I would expect Google to milk the market for all it was worth, making it cost prohibitive short term to use it to just break strong crypto