Logical and topological contextuality in quantum mechanics and beyond

Thesis

The main subjects of this thesis are non-locality and contextuality, two fundamental features of quantum mechanics that constitute valuable resources for quantum computation. Our analysis is based on Abramsky & Brandenburger's sheaf theoretic framework, which captures both these phenomena in a unified treatment and in a very general setting. This high-level description transcends quantum physics and allows to precisely characterise the notion of contextuality as the apparent paradox re...

Expand abstract

Authors: Caru, G

• DOI: 10.5287/ora-kznbp4k4y
• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Keywords: Contextuality; Quantum Computation; Stabiliser Quantum Mechanics; Cohomology; Generic Inference; Valuation Algebras
• Subjects: Quantum theory; Algebraic topology; Computer science