The quantum world is always portrayed as something weird, spooky, and utterly impossible to comprehend. How can we ever hope to talk or reason about such a complicated thing? In this summer school you’ll learn how to do just that via a newly developed pictorial representation of quantum processes. This new representation is friendly and intuitive to work with, but at the same time is provably equivalent to the old way of doing things. Using these ideas we’ll explore the breadth of quantum theory, from foundational phenomena and quantum resources to quantum computing and cryptography.