In what fairy tale and who says the phrase Open Sesame?

It's from an ancient group of stories (not Fairy Tales) from ancient Arabia called "The Thousand and One Nights", the particular story in question being "Ali Baba and the Forty Thieves" (suspected of being added to 1001 Nights by the French translator, from an oral tradition). Ali Baba utters the Words "Open Sesame" (he actually said Arabic Words which sounded like Sesame, there is no connection with the oil seed).