Bell's theorem proves that quantum theory is inconsistent with local physical models. It has
propelled research in the foundations of quantum theory and quantum information science …

Abstract The Free Energy Principle (FEP) states that under suitable conditions of weak
coupling, random dynamical systems with sufficient degrees of freedom will behave so as to …

Quantum theory is commonly formulated in complex Hilbert spaces. However, the question
of whether complex numbers need to be given a fundamental role in the theory has been …

Standard quantum theory was formulated with complex-valued Schrödinger equations,
wave functions, operators, and Hilbert spaces. Previous work attempted to simulate quantum …

Networks have advanced the study of nonlocality beyond Bell's theorem. Here, we introduce
the concept of full network nonlocality, which describes correlations that necessitate all links …

We use hyperentanglement to experimentally realize deterministic entanglement swapping
based on quantum elegant joint measurements. These are joint projections of two qubits …

Certifying quantum properties with minimal assumptions is a fundamental problem in
quantum information science. Self-testing is a method to infer the underlying physics of a …

Semidefinite programs are convex optimisation problems involving a linear objective
function and a domain of positive semidefinite matrices. Over the last two decades, they …

Complex numbers define the relationship between entities in many situations. A canonical
example would be the off-diagonal terms in a Hamiltonian matrix in quantum physics …

In many studies, it is common to use binary (ie, unweighted) edges to examine networks of
entities that are either adjacent or not adjacent. Researchers have generalized such binary …