Information and fundamental elements of the structure of quantum theory

TL;DR

This paper argues that quantum physics can be understood as an elementary theory of information, where fundamental concepts like randomness, complementarity, and entanglement naturally emerge from a description based on elementary propositions.

Contribution

It introduces a framework where quantum features arise from a description of Nature using one definite proposition per elementary constituent, emphasizing information as fundamental.

Findings

Quantum randomness emerges from elementary propositions.

Quantum complementarity and entanglement naturally arise.

Quantum physics can be viewed as an elementary theory of information.

Abstract

Niels Bohr wrote: "There is no quantum world. There is only an abstract quantum physical description. It is wrong to think that the task of physics is to find out how Nature is. Physics concerns what we can say about Nature." In an analogous way, von Weizsaecker suggested that the notion of the elementary alternative, the "Ur", should play a pivotal role when constructing physics. Both approaches suggest that the concept of information should play an essential role in the foundations of any scientific description of Nature. We show that if, in our description of Nature, we use one definite proposition per elementary constituent of Nature, some of the essential characteristics of quantum physics, such as the irreducible randomness of individual events, quantum complementary and quantum entanglement, arise in a natural way. Then quantum physics is an elementary theory of information.