4 papers
Picturing general quantum subsystems
Octave Mestoudjian, Matt Wilson, Augustin Vanrietvelde +1
We extend the usual process-theoretic view on locality and causality in subsystems (based on the tensor product case) to general quantum systems (i.e.\ possibly non-factor, finite-…
Partitions in quantum theory
Augustin Vanrietvelde, Octave Mestoudjian, Pablo Arrighi
Decompositional theories describe the ways in which a global physical system can be split into subsystems, facilitating the study of how different possible partitions of a same sys…
A self-contained proof of the Artin-Wedderburn theorem in the case of finite-dimensional Von Neumann algebras
Octave Mestoudjian, Pablo Arrighi
We provide a self-contained proof of the Artin-Wedderburn theorem in the case of finite-dimensional Von Neumann algebras (or equivalently unital C* algebras) that is fully construc…
Causal Decompositions of 1D Quantum Cellular Automata
Augustin Vanrietvelde, Octave Mestoudjian, Pablo Arrighi
Understanding quantum theory's causal structure stands out as a major matter, since it radically departs from classical notions of causality. We present advances in the research pr…