We study structural and foundational aspects of computer science and physics, and the connections between them, with applications in quantum information and computation, as well as in computational linguistics, computational logic and semantics. Here are listed some of our current major activities, along with some of the main people involved:
- Categorical quantum mechanics and diagrammatic reasoning (Professor Bob Coecke , Dr Jamie Vicary)
- Generalised probabilistic models for quantum computation and quantum foundations (Professor Jonathan Barrett, Dr Niel de Beaudrap)
- Contextual semantics, with applications to quantum information and foundations, to databases, and natural language (Professor Samson Abramsky, Dr Rui Soares Barbosa)
- Compositional models of natural language meaning (Professor Bob Coecke , Dr Dan Marsden)
- Compositional models of cognition (Professor Bob Coecke , Dr Dan Marsden)
- Categorical perspectives on quantum logic (Professor Bob Coecke)
- Topological foundations of quantum and classical computation, and topological quantum field theories (Dr Jamie Vicary )
- Relativistic quantum information and causality in quantum theory (Professor Jonathan Barrett, Professor Bob Coecke)
- Automated reasoning for graphical theories and quantum computation (Dr Jamie Vicary)
- Semantics of computation, including game semantics for dependent type theories, and semantics of intensional computation (Professor Samson Abramsky)
- Higher category theory (Dr Jamie Vicary)
- Quantum computational architectures and complexity (Dr Niel de Beaudrap)
- Quantum cryptography (Professor Jonathan Barrett)
Joining the group
If you'd like more information about joining the group, as a postdoctoral researcher or as a DPhil student, please contact a faculty member listed below. We have supported postdoctoral fellowship applications for strong applicants. The Engineering and Physical Sciences Research Council and the Royal Society have annual postdoctoral fellowship competitions, some of which are open to non-British nationals. The department also awards DPhil scholarships each year to the strongest EU (DTA) and overseas (Clarendon) applicants.
If you're already doing a Masters degree in Oxford and might be interested in doing your project with a member of our group, please get in touch as soon as possible with one of the group members listed above.
If you're an undergraduate and would like to learn more about the sorts of things we work on, have a look at the MSc in Mathematics and the Foundations of Computer Science.
We run an international quantum foundations mailing list. To subscribe, send a blank email to firstname.lastname@example.org. We also have a separate list to announce local events related to our group's activities; to subscribe, send a blank email to email@example.com.
Members of the group are pleased to receive funding from the following sources:
Head of Activity
External traced monoidal categories
Nick Hu and Jamie Vicary
Master's Thesis 2019.
Contextuality and noncommutative geometry in quantum mechanics
Nadish de Silva and Rui Soares Barbosa
In Communications in Mathematical Physics. Vol. 365. No. 2. Pages 375–429. 2019.
Earlier partial version (“Partial and total ideals of von Neumann algebras”) available as arXiv:1408.1172 [math.OA]
Minimum quantum resources for strong non−locality
Samson Abramsky‚ Rui Soares Barbosa‚ Giovanni Carù‚ Nadish de Silva‚ Kohei Kishida and Shane Mansfield
In Mark M. Wilde, editor, Proceedings of 12th Conference on the Theory of Quantum Computation‚ Communication and Cryptography (TQC 2017). Vol. 73 of Leibniz International Proceedings in Informatics (LIPIcs). Pages 9:1–9:20. Dagstuhl‚ Germany. 2018. Schloss Dagstuhl–Leibniz−Zentrum fuer Informatik.
Accepted for communication at 14th International Conference on Quantum Physics and Logic (QPL 2017); E−print: arXiv:1705.09312 [quant−ph]