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Jamie Vicary

Personal photo - Jamie Vicary
Jamie Vicary
Senior Research Fellow
jamie.vicary@cs.ox.ac.uk
(01865 6)10775

Room 213, Wolfson Building, Parks Road, Oxford OX1 3QD

Interests

My work is on high-level mathematical structures for fundamental phenomena in computer science and physics. There is a lot in common between these fields, which both study the laws and emergent features of systems with local interactions. Particular areas of recent interest include the structure of quantum algorithms, a new higher-categorical language for physics and computer science, and the classification of topological quantum field theories.

I am a Senior Research Fellow at the Quantum Group in the Computer Science department of the University of Oxford, and I am also a Research Fellow at Wolfson College, Oxford.

Here are some things I've been working on recently:

  • Ben Musto and have a new paper on the arXiv on quantum Latin squares, which are quantum generalizations of ordinary Latin squares. We show how you can use them to make completely new sorts of teleportation protocol.
  • Topological quantum field theory (TQFT) is a simple type of quantum field theory in which diffeomorphic manifolds are assigned equivalent invariants. Bruce BartlettChris Douglas, Chris Schommer-Pries and I are working on a family of results that give a complete classification of once-extended 3-dimensional TQFTs, in a categorical style, and the first paper is now up on the arXiv.
  • Recent work on quantum algorithms uses a topological formalism to give a new description of the Deutsch-Jozsa, single-shot Grover and hidden subgroup algorithms. This high-level approach gives rise to new proofs of correctness, and new 'multicoloured' quantum search procedures which are more powerful than the traditional Grover algorithm and its existing generalizations. This work was presented at LICS 2013, and a paper is available.
  • I've been working on a higher-categorical theory of information flow, which uses topological diagrams involving points, lines and surfaces to represent informatic procedures such as encryption, quantum measurement and controlled operations. Equations between diagrams specify procedures such as quantum teleportation and encrypted communication, and solutions to these equations in monoidal bicategories correspond to real-world implementations of the procedures. Some of this work was presented at LICS 2012 and MFPS 2013. Papers are available here and here. Some of this research is joint work with Mike Stay.

If you're interested in these ideas, please get in touch! I am always interested in giving talks, meeting other scientists with similar interests, and starting new collaborations.

Other things

Here's some other things I'm doing at the moment:

  • I co-organize the Oxford Advanced Seminar in Informatic Structures (OASIS), with Chris HeunenClare Horsman, Aleks Kissinger and Sam Staton.
  • I'm part of the Centre for Quantum Mathematics and Computation (QMAC), an interdisciplinary collaboration between the Oxford's Computer Science, Mathematics and Physics departments.
  • I maintain two popular mailing lists, one for international quantum foundations announcements with over 800 subscribers, and another for quantum computing and quantum foundations events taking place in Oxford with around 100 subscribers. Please get in touch if you'd like to be added to either of these.
  • Since 2012, I've been lecturing a course on Categorical Quantum Mechanics with my colleague Chris Heunen, and we're also writing a book that will come out soon with OUP.
  • I frequently supervise DPhil, MSc and undergraduate students (and sometimes school students too!) on topics related to the mathematical foundations of quantum computing. If you'd like to work on a project with me, get in touch.

Biography

I did an undergraduate degree in Physics at Mansfield College, Oxford, followed by the Part III mathematics course at DAMTP and Trinity Hall, Cambridge. I then did a PhD in category theory and the foundations of quantum information with Chris Isham at Imperial College London, which I completed in 2008. Since then I have had a postdoctoral research position in the Quantum Group here in Oxford. I also have an affiliation with the Centre for Quantum Technologies at the National University of Singapore, where I am a Research Fellow.

Selected Publications

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Groupoid Semantics for Thermal Computing

Krzysztof Bar and Jamie Vicary

2014.

Wormholes and entanglement

John Baez and Jamie Vicary

2014.

Topological Structure of Quantum Algorithms

Jamie Vicary

In Proceedings of the 28th Annual ACM/IEEE Symposium on Logic in Computer Science. Pages 35. 2013.

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