Thesis
Homology, Hopf algebras and quantum code surgery
- Abstract:
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This thesis is a study of quantum error-correction codes from an algebraic perspective. We concern ourselves not only with quantum codes but also protocols to perform logical quantum computation using such codes. We derive new methods of performing fault-tolerant quantum computation, rooted in abstract algebra and category theory. We also generalise known constructions of quantum codes and rigorously formalise existing constructions.
At its core, the main question this thesis asks ...
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- Files:
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(Preview, Dissemination version, pdf, 6.8MB, Terms of use)
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Authors
Contributors
+ Kissinger, A
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Computer Science
- Role:
- Supervisor
+ Coecke, B
- Institution:
- University of Oxford
- Division:
- MPLS
- Department:
- Computer Science
- Role:
- Supervisor
+ Engineering and Physical Sciences Research Council
More from this funder
- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- 662579
- Programme:
- Wolfson Harrison Engineering and Physical Sciences Research Council Quantum Foundation Scholarship
- DOI:
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Language:
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English
- Deposit date:
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2025-08-02
- ARK identifier:
Terms of use
- Copyright holder:
- Alexander Cowtan
- Copyright date:
- 2024
- Licence:
- CC Attribution (CC BY)
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