This line of thought is very interesting indeed. Understanding the similarity/contrast to the join operator is really at the heart of what quantum is about. It

This line of thought is very interesting indeed. Understanding the similarity/contrast to the join operator is really at the heart of what quantum is about. It comes down to, what do you mean by "and" ? Check out the breezy writing in this paper: https://arxiv.org/abs/1602.07618 https://arxiv.org/abs/1602.07618 Also, the Rosetta stone paper (more advanced): https://arxiv.org/abs/0903.0340 https://arxiv.org/abs/0903.0340