Brocho before eating this: Borei Minei Mezonos
Brocho after eating the proper shiur of this: Al Hamichya
(The above refers to pita chips made from pita that was baked to eventually become chips. If it is made from standard pita, the required brochos would be Hamotzi Lechem Min Ha'aretz and Bentching)
Source: Halachos of Brochos Handbook (page 71)