One bit is sufficient if you are just trying to arbitrage markets. For a couple billion, an NYC to Tokyo neutrino shortcut wouldn't be a bad investment.
There is latency involved in both production and detection to contend with.
NYC to Tokyo would require an unprecedented beamline angled deep down into the earth as well as a much more powerful proton driver to produce enough neutrinos to compensate for the 1/r^2 loss of flux.
And, then there is the neutrino oscillation resonance due to the high matter density as the neutrinos pass near the Earth's core just to mix things up.
The price tag for DUNE is a couple billion USD for a relatively "short" baseline of 1300 km and 40kton far detector.
All that said, if some fat cat trader wants to fund it, I'll help build it.
Detecting one pulse above background noise is not terrible, according to the paper. However, the way the paper sets up their communications channel is kind of silly, since they are pulse rate limited.
If you wanted to transmit a lot of information with one pulse, you'd use time domain slicing and synchronized atomic clocks.
Regardless, you don't need particularly high signal fidelity in order to arbitrage the market, just better than 50/50. The ~25ms they can cut off of the transmission latency is an eternity in market time.
From discussions about this it seems like the consensus is that the nature of neutrinos would kill any attempt to make this method of communication scale. But boy it would cool to have straight line communication between any two points on earth no infrastructure required.
Please look at the picture: you can see a neutrino detector being held. But what's also very important to detect neutrinos is shielding from every other type of radiation, so that you can differentiate between neutrino radiation and everything else. The shielding is done by metallic (likely, lead) bars around the detector. The shielding is much more massive than the detector.
Another point: in the article they say that they have detected a 136 neutrino events over 461 days. So you can transfer one bit ~10 days. Neutrino detector sensitivity scales linearly with volume. Now imagine if you scale down your ~5-10 liter detector to a volume of 0.2 liters (a fliphone volume).
I’m thinking we’d need new physics discoveries. Maybe elements from the island of stability might help. Or something with superconductors. You never know.
Given that these things are neutral and effortlessly fly out of collapsing supernova cores, heavier elements and superconductors are not very likely to help.
By our current understanding, superconductors only exist under extreme cold, a condition never occurring naturally in stars and supernovas. So the fact that neutrinos fly out effortlessly does not preclude the possibility of a superconducting trap of neutrinos.
I'm not sure that's much better than ULF, with similar issues on the size/cost of the transmitter.
They do mention interstellar communication though.