5 citations · 9 across the 4 of their papers we have counts for
4 papers
Topos Quantum Theory Reduced by Context-Selection Functors
Kunji Nakayama
In this paper, we deal with quantum theories on presheaves and sheaves on context categories consisting of commutative von Neumann algebras of bounded operators on a Hilbert space,…
Topos Quantum Theory on Quantization-Induced Sheaves
Kunji Nakayama
In this paper, we construct a sheaf-based topos quantum theory. It is well known that a topos quantum theory can be constructed on the topos of presheaves on the category of commut…
Sheaves in Quantum Topos Induced by Quantization
Kunji Nakayama
This paper shows that quantization induces a Lawvere-Tierney topology on (hence, a sheaf topos in) the quantum topos. We show that a quantization map from classical observables to…
Topos-Theoretic Extension of a Modal Interpretation of Quantum Mechanics
Kunji Nakayama
This paper deals with topos-theoretic truth-value valuations of quantum propositions. Concretely, a mathematical framework of a specific type of modal approach is extended to the t…