5 papers
A Functorial Construction of Quantum Subtheories
Ivan Contreras, Ali Nabi Duman
We apply the geometric quantization procedure via symplectic groupoids proposed by E. Hawkins to the setting of epistemically restricted toy theories formalized by Spekkens. In the…
Geometric Quantization and Epistemically Restricted Theories: The Continuous Case
Ivan Contreras, Ali Nabi Duman
It is possible to reproduce the quantum features of quantum states, starting from a classical statistical theory and then limiting the amount of knowledge that an agent can have ab…
Game Theory in Categorical Quantum Mechanics
Ali Nabi Duman
Categorical quantum mechanics, which examines quantum theory via dagger-compact closed categories, gives satisfying high-level explanations to the quantum information procedures su…
The Topology of Grover Algorithm
Ali Nabi Duman
It has been shown in recent years that quantum information has a topological nature (\cite{AC}, \cite{Co}, \cite{Co2}). In \cite{V}, Vicary undergoes the study of quantum algorithm…
Cohomology of Toroidal Orbifold Quotients
Alejandro Adem, Ali Nabi Duman, Jose Manuel Gomez
Let denote an integral representation of the cyclic group of prime order . This induces a -action on the torus . The goal of this p…