Generally speaking, search warrants are pretty easy to get for prosecutors, and for good reason: If they required a ton of hard evidence to get, then a prosecutor wouldn't need it any more, they'd just charge the suspect. The entire reason for having search warrants is that there is "something" (a fact) which suggests you'll "probably" find evidence of a crime.
So because they are easy to get, why exactly would a prosecutor need to forge a warrant?