So, I was given an example of another quantum effect as an example. If there is some entanglement in nervecells, it might as well occur in plant cells, because they have a common ancestor.
These kind of articles wash over the signal noise ratio. Your phone does pick-up WiFi signals from tens of kilometer away, yet you hardly ever establish a connection with them, because there are so many other stronger signals. Only in some very specific setup is this possible, like we are still able to communicate with the voyager probes, one of which is now more than a lightday away.
There are some electrical synapses (gap junctions) between neurons and between astrocytes (which are a key part of computation based on more recent research).
Also, the electromagnetic field around the cells influences cell activity, and that field has various types of waves that appear to be specific to different types of activity (still unknown if it's a cause or an effect).