6 papers
Quantum theory over dual-complex numbers
P. Arrighi, D. Bakircioglu, N. L. Houyet
We take quantum theory and replace by where , i.e. we extend quantum theory to the ring of dual complex numbers. The aim is…
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-…
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…
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 Quantum Game of Life
Pablo Arrighi, Jonathan Grattage
This research describes a three dimensional quantum cellular automaton (QCA) which can simulate all other 3D QCA. This intrinsically universal QCA belongs to the simplest subclass…