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Thesis

Sheaf-theoretic methods in quantum mechanics and quantum information theory

Abstract:

In this thesis we use the language of sheaf theory in an attempt to develop a deeper understanding of some of the fundamental differences - such as entanglement, contextuality and non-locality - which separate quantum from classical physics.

We first present, based on the work of Abramsky and Brandenburger [2], how sheaves, defined over certain posets of physically meaningful contexts, give a natural setting for capturing and analysing important quantum mechanical phenomena, such as...

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Oxford University

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Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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