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All technical issues set a part, beams of neutrinos sounds like an excellent way to transmit information. A beam travelling at the speed of light, trough matter - without any interaction or distortion when passing trough.

Goodbye satellites and fiber-optic cables, we can now transmit ones and zeroes straight trough mother earth.

Sure, but how are you going to receive them? Packet loss would seem to be an issue.
Indeed. The detector, or receiver, I imagine would have to detect variations in the density of neutrons. Given a large enough density range, one could assign different ranges to different integers. Still a technical issue disclaimer attached.
A side effect of a compact neutrino detector would be the immediate obsolescence of all nuclear submarines.
"Other than that Mrs. Lincoln, how did you like the play?"

The technical issues are what make your question go from whimsical to silly. The article describes just how difficult it is to create neutrino's going in the direction you want them to go in the first place, then interacting with them once they exist and are headed in the right direction.

For any sort of communication to occur using neutrinos you would need to reliably be able to modulate them at the source end and de-modulate them at the destination.

There was a "paper" (and I put that in quotes because it wasn't even a modest piece of reasoning) that proposed neutrinos as the medium by which extra-sensory perception (ESP) was created. Neutrinos passing through the brain of subject A being modulated by their thoughts and then detected in the brain of subject B. At least with this setup at Fermilab you could set up an experiment to test that hypothesis by having your subjects sit in the beamline. (something the paper did not provide was any way to experimentally testing their theories).

Great article, but they seem to barely mention the most mind bending fact about the experiment:

They are generating a 1km wide blast of neutrinos in suburban Chicago and sending it 450 miles through the ground to mine in Minnesota.

I had to read parts of the article 3 times and follow some of the links to make sure that is really what is going on.

Physics is so unbearably sexy. It's a cave and an office and a research facility and they're shooting signal beams of particles through the earth with giant tunnels bored through the planet and filled with pipes and lights and equipment. Nobody else does these things! Well, except maybe high reliability data centers.
It's amazing how one can stop reading physics news for a couple of years, and all of a sudden, a neutrino gets mass. I wasn't aware of that.