Could have sworn that one of the tricky things about that law was that while it may appear that you are decreasing entropy locally, you are just increasing it somewhere else, thus entropy still increased in aggregate.
In essence the entire biosphere is a giant heat engine, mainly fed off of the flow of energy from the Sun to Earth to outer space, and in some extreme environments fed by the radiation of heat out from the core of the Earth. Shut off those flows of energy, and the second law would shortly catch up to us and we'd all perish.
(our frozen, desiccated corpses would probably retain their organization longer under such conditions)
Even take a single human. Dust (to person) to dust. Ashes (to civilization) to ashes.
Also, is thermodynamic entropy applicable to organized matter?
So, a normal refrigerator decreases entropy in one region and increases it in another, but they're directly adjacent regions and the entropy (heat) is moving from one to another along a simple, everyday path (like a heat exhaust tube). It sounds like the researchers have proposed using some quantum-teleportation-like trick to have the heat show up in some unconnected region of space.
The impression I get from the article is that the newsworthy idea here is that those two locations might not need to be directly connected. This would permit what looks like a perpetual motion machine. But overall the 2nd law would still hold because entropy is increasing somewhere.
Note: I'm not a physicist so don't take my word for this. Just conveying what I think I read.