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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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Division:
MPLS
Department:
Computer Science
Department:
Oxford University
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Author

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Supervisor
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Examiner
Engineering & Physical Sciences Research Council More from this funder
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
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UUID:
uuid:788d9d90-8fb1-4e1d-a0fa-346ba64d228a
Deposit date:
2016-02-22

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