What's the biggest barrier to creating a lot of antimatter?
Only about 0.01% of the energy used to operate the particle collider creates antimatter, the vast majority of which is impossible to capture. All in all, the efficiency of the entire process - if you were to measure it in the e^2=(pc)^2+(mc^2)^2 sense - is probably on the order of 1e-9 or worse.
tl;dr: strong magnetic fields in a certain configuration since in a strong enough field anti-hydrogen acts like little bar magnets.
Not to mention the only way to create it is with energy (it doesn't exist on Earth), and we can only do so at terrible efficiencies. So even theoretically it's pretty bad.