Can I play minecraft on ps4?

I bought minecraft ps3 edition and recently heard that the ps4 can play games that you bought from the playstation store do if I get a ps4 would I be able to sign in to my psn and download minecraft onto the ps4 or not

Yeah its a psn game its offered to both consoles

NO, It Was Supposed To Be Released In August On PS4, Vita & Xbox One… But A Couple Hours Ago It Got Pushed Back To September.

http://m.theepochtimes.com/n3/826934-minecraft-xbox-one-ps4-ps-vita-update-out-in-september-now-4j-still-bug-fixing/