Wow a biophysics related article on HN. I can finally be an interesting commenter!
First and foremost, no one is writing off quantum mechanics. There are a lot of physical mechanisms that can't be well described by classical models: charge transport, some examples in protein folding, optical interactions, etc.
The issue is that current computational resources are limited. We can't even give a full MM (classical) simulation of a small virus without months of distributed computing efforts and thats with algorithms that scale like O(n^3).
Even DFT models that are pretty far from the theory we're looking at O(n^5). It'll be farther into the future before we can do more.
That said QM/MM simulations of macromolecules (DNA in particular) are extremely common though the goals may be quite different so I'm not entirely certain where the basis for the claim that CV entanglement is needed for stability at a physical level. They do such a simulation with 2 different factors for the VDW interaction and note that shrinking it by a factor 10 leads to stability issues. (Rather obvious claim in context)
The authors recognize entirely that this model is not going to be accurate. The question is, how inaccurate can you be before your results don't mean anything?
To me their work kinda straddles the line.
Issues with their simple model I see:
Lack of rotational degrees of freedom of the base-pairs,
Lack of a polarizing solution (water) !!! (Critical since the entire basis of this was the non-trivial mechanics of non-permanent dipole moments)
And of course the very obvious issues that arise from modeling DNA as just a plane of positive charge with a single electron orbital.
All they end up saying is that for that scaling factor at the very small value you don't get as much of an energy increase in the molecule that leads to instability in a "normal" QM/MM simulation. I'm certainly not convinced that this energy difference can be directly said to be because of entanglement and not just flaws in their model and certainly not willing to say that this small value represents anything physical.
There were a few more confusing things in the analysis but I admit I'm only glancing over the paper but I think the most we can take away from this is that there may be non-trivial effects of CV entanglement. Maybe that's all they really wanted.
There's something to be said about how fantastically developed the world is relative to even a decade ago let alone 100 years or more.
That said; progress isn't made by mass contentment. We must always do analysis on the margin. Even if what people complain about is trivial compared to how far we've come, we don't go further without these goals. Large or small.
Misinterpretation and/or abuse of statistics is prevalent in scientific literature more often then you would think. Repeatability, consensus and peer review are good ways of minimizing this problem but it is still true that any random paper you open on say arXiv or even a standard journal is probably going to contain some form of abuse intentional or not.
Is this a serious problem? Mostly in those fields plagued by low confidence results and heavy approximations being made but it exists in all levels.
The article is rather alarmist though for my taste.
Keeping track of everything explicitly its n^2.
Also it really, really depends on the level of theory for the scaling of quantum regions/algorithms. To say at minimum O(n^5) is incorrect.