Welcome to AC
Only the tablets that Verizon sells will work on their 4G network. So it's the Nexus 7 LTE, G-Tab, iPad, Galaxy Tab, the Galaxy Note 10 and maybe the Ellipsis (I'm not sure if they have an LTE version).
Thanks for the info. I am needing one with an active stylus for hand written notes at work. I use windows 8 tablet now for note taking but my work does not have applications for windows 8 only android or apple. I have tried note taking with a capacitive stylus and they are unreadable.