6 citations · 17 across the 7 of their papers we have counts for
15 papers · 1 filter
Necessity of Combining Mutually Incompatible Perspectives in the Construction of a Global View: Quantum Probability and Signal Analysis
Sven Aerts, Diederik Aerts, Franklin E. Schroeck
The scientific fields of quantum mechanics and signal-analysis originated within different settings, aimed at different goals and started from different scientific paradigms. Yet t…
Decomposition Theorem for State Property Systems
Diederik Aerts, Didier Deses, Bart D'Hooghe
We prove a decomposition theorem for orthocomplemented state property systems. More specifically we prove that an orthocomplemented state property system is isomorphic to the direc…
Classicality and connectedness for state property systems and closure spaces
Diederik Aerts, Didier Deses, Ann Van der Voorde
It has been shown that there is a categorical equivalence between the category SPS of state property systems and the category Cl of closure spaces. In this note we prove, using thi…
Entanglement as Internal Constraint
Diederik Aerts, Ellie D'Hondt, Bart D'Hooghe
Our investigation aims to study the specific role played by entanglement in the quantum computation process, by elaborating an entangled spin model developed within the 'hidden mea…
Connectedness Applied to Closure Spaces and State Property Systems
Diederik Aerts, Didier Deses, An Van der Voorde
In earlier work a description of a physical entity is given by means of a state property system and it is proven that any state property system is equivalent to a closure space. In…
A mechanistic macroscopic physical entity with a three-dimensional Hilbert space description
Diederik Aerts, Bob Coecke, Bart D'Hooghe +1
It is sometimes stated that Gleason's theorem prevents the construction of hidden-variable models for quantum entities described in a more than two-dimensional Hilbert space. In th…