They don't make a conversion barrel for the compact yet, so you have two options. One would be to get a full size 2.0 conversion barrel and have the less that quarter inch cut and recrowned to be flush with the slide. The second option, which is the way I went because of a great deal. is get an Apex Gunsmith Fit Barrel in 9mm for the 2.0 Compact. I had my gunsmith fit it for me and lock up is TIGHT!! He ran a box of ammo through it with no failures. I took it to the range today, no cleaning, and put another 400 rounds of target and defensive ammo, and again zero failures. It has an ejection pattern that is pretty close to my full size 2.0 in 9mm and it was dead nuts accurate.
This was the last 70 rounds (Magtech FMJ) of today's session, from about 10 meters. I was getting fatigued from lack of sleep, and I was trying to counteract that with Monster and coffee. I am very happy with the results.
300 rounds of Magtech 115gr 9mm FMJ
50 rounds of Sig M17 V-Crown 124gr +p
25 rounds of Federal HST 124gr +P
25 rounds of Hornady Critical Duty 135gr +P