Date of Submission

Spring 2021

Academic Program

Mathematics

Project Advisor 1

Paul Cadden-Zimansky

Project Advisor 2

Stefan Méndez-Diez

Abstract/Artist's Statement

Quantum Picturalism allows a new technique for researchers and students alike in the areas of quantum computation and quantum information. This picturalistic method represents fundamental math concepts and quantum theory in a diagrammatic manner. This method is a high-level language that allows for the exploitation of quantum weirdness. Using these techniques, quantum processes and the composition of those processes are highlighted as a structure referred to as process theory. Viewing these processes in a purely diagrammatic language allows for an unambiguous universal language for qubits, and the manipulation of these diagrams is referred to as ZX-calculus. These concepts allow for a hybrid diagram-symbol formalism that allows for research in finite spaces. In this thesis, we focus on the connectivity between processes and study quantum algorithms such as the no-cloning theorem and quantum money to see what can be explained and explored diagrammatically.

Open Access Agreement

Open Access

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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