Doctor Who (and Captain Jack) sometimes made use of Psychic Paper as a plot device. Could the paper be used against Artificial Intelligences? It was used as an Oyster card in Planet of the Dead.
Probably, with caveats
According to the wiki, in “Kill the Moon,” Courtney is described as using the Doctor’s psychic paper as a credit card. In addition, in the episode “Army of Ghosts,” the Doctor employs his psychic paper against a computer system, by using it instead of a keycard.
Since the psychic paper works on computer systems, there seems to be no reason it would not work on somewhat more advanced AIs as well. Either they are like computer systems (in which case the paper could work on them) or they are closer to conscious entities (in which case the paper might work on them).
That said, the psychic paper can fail against specific AIs, much as it has failed against specific humans, such as George from “Flatline,” William Shakespeare, and even trained Torchwood One employees.
For example, the Gatebots from Attack of the Gatebots were immune to psychic paper:
That the Doctor considered it “worth a try” to use the psychic paper suggests that it is not ineffective against all robotic entities.
That said, for an AI with advanced reasoning abilities (not a mere computer system), any one of the caveats that prevent use of psychic paper on humans might come into play:
- The AI is too creative or intelligent (like Shakespeare).
- The AI is trained in resisting psychic attack (like the Torchwood operatives).
- The AI is too literal (like George).