One-time pads need you to have a limited amount of data to encode and a good channel through which to send your one-time pad. However, assuming AES isn't broken by quantum computers (there is no evidence that it is), you could use a relatively small one-time pad to generate keys to encrypt a much bigger bulk of data.

Not the craziest idea in the world, but you still need a very secure physical key distribution medium, which is hard.