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Thesis

Contextuality and noncommutative geometry in quantum mechanics

Abstract:

It is argued that the geometric dual of a noncommutative operator algebra represents a notion of quantum state space which differs from existing notions by representing observables as maps from states to outcomes rather than from states to distributions on outcomes. A program of solving for an explicitly geometric manifestation of quantum state space by adapting the spectral presheaf, a construction meant to analyze contextuality in quantum mechanics, to derive simple reconstruct...

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Research group:
Quantum Group
Oxford college:
Merton College
Role:
Author

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Role:
Supervisor
Role:
Supervisor
Publication date:
2015
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK

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