For anyone else reading along who wants to learn more: get an introduction to "The Constructor Theory of Information" (including Quantum Information) in a recent, excellent popular science book by Chiara Marletto called "The Science of Can and Can't".

I highly recommend Chiara Marletto's book "The Science of Can and Can't"

Marletto has a clear, sharp and imaginative style of explaining science . . . [The Science of Can and Can't] will open the doors to a dazzling, deep set of new concepts and ideas that will change and affect deeply the way you look at the world. Let her story unfold. It will be an open-ended exploration of the endless possibilities that the laws of physics allow for.

Hugely ambitious, Chiara Marletto is the herald for a revolutionary new direction for physics. This book is essential reading for anyone concerned with the future of physics.

I enjoyed this book very much, not least because of the freshness of its approach to a subject that can easily become hard for the non-scientific mind to grasp. The theory of ‘can and can’t’ is an intriguing way of describing problems that are not only scientific (it describes very well what a storyteller does, for instance), and Marletto’s account of some things I thought I more or less understood (the nature of digital information, for one) illuminated them from an angle that showed them more clearly than I’d seen them before.

This book is an amazing work. It presents for the lay reader an introduction to “Constructor Theory” without losing any scientific or philosophical rigour.

In her wonderful book “The Science of Can and Can’t” Chiara Marletto takes us on a fascinating journey into the foundations of scientific theories.