Context
Suppose that, sometime in the future, terrorists and conspicuously-evil nations and politicians are tired of using regular old nuclear bombs to destroy their rivals' cities - cities on the ground are well-protected by orbital railguns that can almost-instantly destroy missiles before their payload detonates, asteroid and moon cities in space all have kilometers - if not hundreds or thousands of kilometers - of ground under which to bury a super-secure bunker, and space stations are well-defended anyways. Besides, what with everyone (or at least many people) living in space in the future, radiation meds are a common sight, and simply spraying neutron radiation at one's rival isn't enough to finish the job.
So, the next best thing is an antimatter bomb: converting a kilogram of matter and a kilogram of antimatter into 40 megatons-of-TNT of flesh-searing, metal-melting, electronics-frying, DNA-unraveling gamma radiation.
Specifics aside, let's say that the Unspecified Terrorist Organization (UTO) wants an antimatter bomb to blow up an asteroid-based teddy bear factory in order to prove a point about evil butterfly colonies on Mars. They can acquire high-grade missiles, detonators, avionics controls, and antennae for the suicidal AI who will drive the missile to its destination, but there's one thing they don't have, and that's the payload: antimatter.
The problem
The issue with antimatter is that it's notoriously hard to produce and even harder to contain. Particle accelerators can produce and decelerate it to useful energies, but particle accelerators are very large and only produce a small amount of antimatter per unit energy used to drive them. Positrons (which are produced by cosmic rays interacting with the atmosphere) have been investigated, but they're too high-energy to efficiently contain without an equally-massive apparatus to decelerate them into a Penning trap. Positrons are also produced naturally in beta-+ decay, but another massive system of constantly-replaced radioisotopes would be able to produce a meaningful amount, and acquiring such radioisotopes would be difficult to say the least.
Large apparatuses would work, but they would be easily detected and shut down. The UTO needs the antimatter, but the teddy bear factory needs desperately for the UTO not to have antimatter, and huge orbital particle accelerators constantly spewing antiprotons into Penning traps which are shipped off to undisclosed locations is not exactly discreet.
Actual question
So, here's the question: What's the most efficient way to obtain 1 kilogram of antimatter without getting caught by the authorities?
Suppositions:
- The interplanetary police are aware of any object city block-sized or larger, so huge LHC-like accelerators orbiting some obscure moon of Jupiter are not allowed if their only purpose is to produce antimatter. Objects or structures smaller than that can be hidden indefinitely from the police.
- Antimatter can be efficiently transported between bodies in the Solar System (assume 3-5 business day situation as far as timing goes), so antimatter produced anywhere in the system counts towards the total.
- Radioisotopes (like potassium that emits positrons) are monitored and can't be used unless there's some extremely convincing story to tell the authorities what the UTO is doing with 3,000 tons of plutonium.
- Timeframe doesn't matter; so long as one kilogram of antimatter gets made, the mission is accomplished.
- Anywhere in the Solar System is fair game for setting up an antimatter farm of whatever variety is most efficient and meets the secrecy requirements.
- The UTO has as much money as it needs for anything.
TL;DR the goal is efficiency in a small package: I'm looking for the fastest way (in time, not necessarily money) to produce antimatter that fits these secrecy requirements.