The mantra in here regarding tests is generally:
"LFTs are a bit shit but I suppose they're better than nothing if testing someone who's assymptomatic, but PCRs are the gold standard and holy grail of testing, and can pretty much be guaranteed to be accurate."
www.bmj.com/content/372/bmj.n287/rr
However, this apparently piece in the BMJ indicates a false negative rate of 30%! This is on a par with LFTs. That feels like a worryingly high figure in terms of mass testing being a way of stopping transmission. However, I'm guessing that a significant chunk of the 30% are those with low viral loads and with no or very low-level symptoms and who therefore aren't especially infectious anyway.
It does seem to mean that the cumulative effect of a week of daily LFTs after exposure is far better at detecting disease than a solitary PCR a few days in.