So just what does 'charges in minutes' mean?
Other sites have made claims about 'charging in a minute', so let's take that seriously.
A (current) phone battery is something like 3.8V, and something like 1500mAh. That's 5.7Wh or, in sensible units, about 20kJ of energy (the voltage and current don't matter: the energy does). If we're going to charge this in a minute, then we're going to need to dump that much energy into it in a minute: this is about 340W, and (at 3.8V) about 90A.
All this assumes the battery is 100% efficient: I've both assumed that the voltage does not droop much as it discharges and that charging is completely efficient. Based on figures scraped from people selling phone replacement batteries, I think the voltage does not droop significantly, but I have no idea what the charging efficiency is.
If charging is extremely efficient, then, given rather thick cables and some fairly macho connectors in the charging interface this might work. This is not going to be charging over USB: given that a dodgy connection in the charging interface would probably result in a fire I imagine these will be some kind of screw-down connectors. The currents are less than a car battery provides when starting a car (which can go up to 200A) but not much less, so the connectors are going to be the same sort of thing.
If charging is not extremely efficient, a substantial amount of power will be dumped as heat in the device being charged. For something the size of a phone, it will need a heatsink, and possibly liquid cooling.
Alternatively: they are making things up to get funding.