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Jamie Vicary

Personal photo - Jamie Vicary

Jamie Vicary

Senior Research Fellow

E: jamie.vicary@cs.ox.ac.uk
T: (01865 6)10775

Room 208, Wolfson Building, Parks Road, Oxford OX1 3QD
United Kingdom

Interests

My work is on higher category theory and its applications in computer science and mathematics, particularly in areas related to quantum structures.

As well as my Oxford position, I hold a Royal Society University Research Fellowship and Senior Lectureship at the School of Computer Science at the University of Birmingham.

The future

  • June 2019. Invited tutorial "Higher Categories and Quantum Structures" at Ohio State University, organized by David Penneys.
  • October 2018. Welcome to Cosimo Perini Brogi, who will be starting a PhD with me at the University of Birmingham, funded by the Royal Society.
  • September 2018. I'm organizing the first iteration of the Symposium on Compositional Structures (SYCO), an exciting new meeting aiming to bring together the diverse communities, both pure and applied, whose work focuses on category-theoretical tools. The meeting will take place on September 20 and 21 at the University of Birmingham. Submission is easy, with no format requirements or page restrictions, and there are no proceedings, so work can be submitted even if it has been submitted or published elsewhere.
  • September 2018. Research visit from Lucy Zhang, University of Toroto, to my group in Oxford.

The past

Papers

[P35] Antonin Delpeuch and Jamie Vicary (2018). "Normal forms for planar connected string diagrams". 17 pages. arXiv:1804.07832.
[P34] Krzysztof Bar and Aleks Kissinger and Jamie Vicary (2018). "Globular: an online proof assistant for higher-dimensional rewriting". LMCS 14 (1). arXiv:1612.01093, doi:10.23638/LMCS-14(1:8)2018.
[P33] Dominic Verdon and Jamie Vicary (2018). "Quantum teleportation with infinite reference frame uncertainty". 30 pages. arXiv:1802.0904.
[P32] Benjamin Musto and Jamie Vicary (2018). "Orthogonality for quantum Latin isometry squares". 13 pages. arXiv:1804.04042.
[P31] David Reutter and Jamie Vicary (2018). "Shaded tangles for the design and verification of quantum programs". arXiv:1805.0154.
[P30] Krzysztof Bar and Jamie Vicary (2017). "Data structures for quasistrict higher categories (extended abstract)". In Proceedings of the 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2017), 12 pages. doi:10.1109/lics.2017.8005147.
[P29] Dominic Verdon and Jamie Vicary (2017). "Tight quantum teleportation without a shared reference frame". Physical Review A 98 (12306), 27 pages. arXiv:1710.0106, doi:10.1103/PhysRevA.98.012306.
[P28] David Reutter and Jamie Vicary (2017). "A classical groupoid model for quantum networks". 29 pages. arXiv:1707.00966.
[P27] David Reutter and Jamie Vicary (2017). "Classical groupoid semantics for quantum networks". In Proceedingsof the 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017), LIPIcs 72, 18 pages. doi:10.4230/LIPIcs.CALCO.2017.19.
[P26] Lawrence Dunn and Jamie Vicary (2017). "Surface proofs for nonsymmetric linear logic (extended abstract)". In Proceedings of the Fourth International Workshop on Linearity, EPTCS 238, 33-43. arXiv:1701.04917, doi:10.4204/EPTCS.238.4.
[P25] David Reutter and Jamie Vicary (2017). "Shaded tangles for the design and verification of quantum programs (extended abstract)". In Proceedings of the 14th International Workshop on Quantum Physics and Logic (QPL 2017), EPTCS 266, 329-348. arXiv:1701.03309, doi:10.4204/EPTCS.266.21.
[P24] David Reutter and Jamie Vicary (2017). "A 2-categorical approach to composing quantum structures". In Proceedingsof the 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017), LIPIcs 72, 1-20. doi:10.4230/LIPIcs.CALCO.2017.20.
[P23] Krzysztof Bar, Aleks Kissinger and Jamie Vicary (2016). "Globular: an online proof assistant for higher-dimensional rewriting". In Proceedings of the 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016), LIPIcs 34, 1-11. doi:10.4230/LIPIcs.FSCD.2016.34.
[P22] Krzysztof Bar and Jamie Vicary (2016). "Data structures for quasistrict higher categories". 112 pages. arXiv:1610.06908.
[P21] David Reutter and Jamie Vicary (2016). "Biunitary constructions in quantum information". 48 pages. arXiv:1609.07775.
[P20] Dominic Verdon and Jamie Vicary (2016). "Tight reference frame–independent quantum teleportation". EPTCS 236, 202-214. arXiv:1603.08866, doi:10.4204/EPTCS.236.13.
[P19] Lawrence Dunn and Jamie Vicary (2016). "Coherence for Frobenius pseudomonoids and the geometry of linear proofs". Logical Methods in Computer Science (to appear) , 30 pages. arXiv:1601.05372.
[P18] Bruce Bartlett, Christopher Douglas, Christopher Schommer-Pries and Jamie Vicary (2015). "Modular categories as representations of the 3-dimensional bordism 2-category". 71 pages. arXiv:1509.06811.
[P17] Benjamin Musto and Jamie Vicary (2015). "Quantum Latin squares and unitary error bases". QIC 16 (15), 1318--1332. arXiv:1504.02715.
[P16] Krzysztof Bar and Jamie Vicary (2014). "A 2-categorical analysis of complementary families, quantum key distribution and the mean king problem". In Proceedings of the 11th International Conference on Quantum Physics and Logic (QPL 2014), EPTCS 172, 316-332. arXiv:1412.8548, doi:10.4204/EPTCS.172.23.
[P15] Chris Heunen, Jamie Vicary and Linde Wester (2014). "Mixed quantum states in higher categories". In Proceedings of the 11th International Conference on Quantum Physics and Logic (QPL 2014), EPTCS 172, 304-315. arXiv:1405.1463, doi:10.4204/EPTCS.172.22.
[P14] William Zeng and Jamie Vicary (2014). "Abstract structure of unitary oracles for quantum algorithms". In Proceedings of the 11th International Conference on Quantum Physics and Logic (QPL 2014), EPTCS 172, 270-284. arXiv:1406.1278, doi:10.4204/EPTCS.172.19.
[P13] Bruce Bartlett, Christopher Douglas, Christopher Schommer-Pries and Jamie Vicary (2014). "Extended 3-dimensional bordism as the theory of modular objects". 64 pages. arXiv:1411.0945.
[P12] John Baez and Jamie Vicary (2014). "Wormholes and entanglement". CQG 31 (21), 214007. arXiv:1401.3416, doi:10.1088/0264-9381/31/21/214007.
[P11] Krzysztof Bar and Jamie Vicary (2014). "Groupoid semantics for thermal computing". 22 pages. arXiv:1401.3280.
[P10] Mike Stay and Jamie Vicary (2013). "Bicategorical semantics for nondeterministic computation". In Proceedings of the 29th Conference in the Mathematical Foundations of Computer Science (MFPS 2013), ENTCS 23 (3), 555-567. arXiv:1301.3393.
[P9] Jamie Vicary (2013). "Topological structure of quantum algorithms". In Proceedings of the 28th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2013), 33 pages. arXiv:1209.3917, doi:10.1109/LICS.2013.14.
[P8] Jamie Vicary (2012). "Higher semantics for quantum protocols". In Proceedings of the 27th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS 2012), 10 pages. doi:10.1109/lics.2012.70.
[P7] Jamie Vicary (2012). "Higher quantum theory". 46 pages. arXiv:1207.4563.
[P6] Jeffrey Morton and Jamie Vicary (2012). "The categorified Heisenberg algebra I: A combinatorial representation". JPAA 222 (3), 703-745. arXiv:1207.2054, doi:10.1016/j.jpaa.2017.05.004.
[P5] Jamie Vicary (2010). "Categorical formulation of finite-dimensional quantum algebras". CMP 304 (3), 765-798. arXiv:0805.0432, doi:10.1007/s00220-010-1138-0.
[P4] Bob Coecke, Dusko Pavlovic and Jamie Vicary (2008). "A new description of orthogonal bases". MSCS 23 (3), 555-567. arXiv:0810.0812, doi:10.1017/S0960129512000047.
[P3] Jamie Vicary (2008). "Completeness of dagger-categories and the complex numbers". JMP 52 (8), 82104. arXiv:0807.2927, doi:10.1063/1.3549117.
[P2] Jamie Vicary (2007). "A categorical framework for the quantum harmonic oscillator". IJTP 47 (12), 3408-3447. arXiv:0706.0711, doi:10.1007/s10773-008-9772-4.
[P1] Peter Coveney, Jamie Vicary, Jonathan Chin and Matt Harvey (2004). "WEDS: A web-services based environment for distributed simulation". PTRSA 363 (1833), 1807-1816. doi:10.1098/rsta.2005.1608.

Talks

[T68] June 2019. ''Higher Categories and Quantum Structures'', Summer School on Quantum Symmetries, Ohio State University, USA. (invited)
[T67] October 2018. ''TBA'', IBM-QuantaLab Quantum Computing Workshop, Universidade do Minho, Portugal. (invited)
[T66] July 2018. ''The geometry of proof: a beginner's guide to higher category theory'', Young Researchers in Mathematics 2018, University of Southampton. (invited)
[T65] July 2018. ''Designing Globular: formal proofs as geometrical objects'', 13th International Workshop on User Interfaces for Theorem Provers, University of Oxford, UK. (invited)
[T64] June 2018. ''Orthogonality for quantum Latin isometry squares'', 15th International Conference on Quantum Physics and Logic, University of Dalhousie, Halifax, Canada.
[T63] June 2018. ''Build Your Own Quantum Computer'', Hay Festival, Hay-on-Wye, UK. (public)
[T62] April 2018. ''Practical higher-dimensional algebra '', Chocola Seminar on Logic and Computation, University of Lyon, France. (invited)
[T61] February 2018. ''Practical higher-dimensional algebra '', Higher Gauge Theory and Quantum Matter, University of Leeds, UK. (invited)
[T60] July 2017. ''Classical models for quantum networks'', 14th International Conference on Quantum Physics and Logic, Institute for Computing and Information Sciences (iCIS), Radboud University, Nijmegen, The Netherlands. (invited)
[T59] June 2017. ''Build Your Own Quantum Computer'', Cheltenham Science Festival, Cheltenham Science Festival, Cheltenham, UK. (public)
[T58] May 2017. ''Build Your Own Quantum Computer'', Hay Festival, Hay-on-Wye, UK. (public)
[T57] May 2017. ''Science Cafe'', Interview with BBC Radio Wales. (invited) (public)
[T56] April 2017. ''Formalizing Compositional Proofs'', Theoretical Computer Science Seminar, Institut de Recherche en Informatique Fondamentale, Paris, France. (invited)
[T55] February 2017. ''Globular: A Proof Assistant for Diagrammatic Science'', Babbage Departmental Seminar, Computer Laboratory, University of Cambridge, UK. (invited)
[T54] February 2017. ''Formal Proof in Higher Category Theory'', 10th Yorkshire and Midlands Category Theory Seminar, University of Leicester, UK. (invited)
[T53] December 2016. ''Formalizing Compositional Proofs'', Compositionality and Logical Structures in Computation, Simons Institute, University of California, Berkeley, USA. (invited)
[T52] November 2016. ''Globular: Higher Categories, The Easy Way'', Category Theory seminar series, University of Cambridge, UK. (invited)
[T51] October 2016. ''Formalizing Compositional Proofs'', Theoretical Computer Science Seminar, University of Birmingham, UK. (invited)
[T50] August 2016. ''Our Quantum Future'', Distinguished Public Lecture Series, University of Dalhousie, Halifax, Canada. (invited) (public)
[T49] July 2016. ''Formalizing Geometrical Proofs'', Modelling Topological Phases of Matter, University of Leeds, UK. (invited)
[T48] July 2016. ''Categories, Quantum Computation and Topology'', AARMS Summer School Lectures, University of Dalhousie, Halifax, Canada. 30-hour intensive lecture course (invited)
[T47] June 2016. ''Introduction to Globular'', Foundational Methods in Computer Science 2016, University of British Colombia, Vancouver, Canada. (invited)
[T46] May 2016. ''Formalizing Geometrical Proofs'', 2016 Georgia Topology Conference, University of Atlanta, Athens, USA. (invited)
[T45] April 2016. ''Surface Proofs for Linear Logic'', Theoretical Computer Science Seminar, University of Bath, UK. (invited)
[T44] April 2016. ''Biunitarity for Quantum Structures'', Eighth Workshop on Information and Processes (WIP 2016), Fontainebleau, France. (invited)
[T43] March 2016. ''Unspeakable Cryptography'', First Oxford Cryptography Day, University of Oxford, UK. (invited)
[T42] October 2015. ''Higher Categories and Quantum Computation'', Higher Topological Quantum Field Theory and Categorical Quantum Mechanics, Erwin Schrodinger Institute, Vienna, Austria. (invited)
[T41] June 2015. ''Higher Categories and Quantum Field Theories'', 18th Symposium on Topological Quantum Information, University of Athens, Greece. (invited)
[T40] June 2015. ''Topological Foundations for Computation'', AMS-EMS-SPM Joint International Meeting, Unversity of Porto, Portugal. (invited)
[T39] April 2015. ''The Categorified Heisenberg Algebra'', Workshop on Homotopy Type Theory and Physics, University of Bristol, UK. (invited)
[T38] March 2015. ''Higher Categories and Quantum Computation'', Pure Mathematics Seminar, University of Leicester, UK. (invited)
[T37] October 2014. ''The Topology of Information Flow'', European Telecommunications Standards Institute 2nd Quantum-Safe Crypto Workshop, Ottawa, Canada. (invited)
[T36] September 2014. ''The Topology of Information Flow'', Quantum Foundations Seminar, Waterloo, Canada. (invited)
[T35] September 2014. ''State of the Art: Topology of Quantum Algorithms'', Post-Quantum Research - Addressing Future Challenges and Directions, Isaac Newton Institute, University of Cambridge, UK. (invited)
[T34] June 2014. ''Topological Quantum Field Theory'', Theoretical Physics Seminar, Imperial College London, UK. (invited)
[T33] June 2014. ''Topological Foundations of Quantum Computation'', Theoretical Physics Seminar, University of Leeds, UK. (invited)
[T32] May 2014. ''The Geometry of Information Flow'', Departmental Seminar, University of Birmingham, UK. (invited)
[T31] May 2014. ''Logical Foundations of Classical Encryption and Quantum Teleportation'', Workshop on Post Quantum Research - Identifying Future Challenges and Directions, Isaac Newton Institute, University of Cambridge, UK. (invited)
[T30] April 2014. ''Topological Foundations of Classical Encryption and Quantum Teleportation'', Seminar at the Centre for Quantum Information and Foundations, DAMTP, University of Cambridge, UK. (invited)
[T29] April 2014. ''A Geometrical Logic for Classical and Quantum Computation'', Computer Science Theory Seminar, Queen Mary University of London, UK. (invited)
[T28] March 2014. ''Computation from Higher Representation Theory'', Workshop on Parameterized Morse Theory in Low-Dimensional and Symplectic Topology, Banff Research Station, Canada. (invited)
[T27] February 2014. ''Classical and Quantum Computing with Higher Algebraic Structures'', Topology Seminar, University of Oxford, UK. (invited)
[T26] December 2013. ''Geometric Logic of Information Flow'', Workshop on Information and Processes (WIP 2013), Centro de Investigación y Adiestramiento Político y Administrativo (CIAPA), University of Costa Rica, San José, Costa Rica. (invited)
[T25] October 2013. ''Geometric Logic of Information Flow'', Departmental Seminar, University of Oxford, UK. (invited)
[T24] October 2013. ''Geometric Logic of Information Flow'', LogIC Seminar, Imperial College London, UK. (invited)
[T23] September 2013. ''The Geometry of Quantum and Classical Information'', Group Seminar, Research Institute for Mathematical Sciences (RIMS), Kyoto, Japan. (invited)
[T22] April 2013. ''Bicategorical Foundations for Quantum Information'', Group Seminar, Centre for Australian Category Theory, University of Macquarie, Sydney, Australia. (invited)
[T21] March 2013. ''The Geometry of Quantum Information'', Quantum Information Seminar, University of Nagoya, Japan. (invited)
[T20] March 2013. ''Applications of Category Theory to Quantum Physics'', Group Seminar, Hokkaido University, Sapporo, Japan. (invited)
[T19] January 2013. ''Topological Structure of Quantum Algorithms'', Quantum Information Seminar, University of Bristol, UK. (invited)
[T18] March 2012. ''A 2-Categorical Formalism for Quantum Information'', Oxford Quantum Information Science Workshop, University of Oxford, UK. (invited)
[T17] May 2011. ''123 TQFTs'', Quantum Field Theory seminar series, University of Oxford, UK. (invited)
[T16] May 2011. ''123 TQFTs'', Workshop on Higher Gauge Theory, TQFTs and Categorification, University of Cardiff, UK. (invited)
[T15] April 2011. ''A Bicategorical Syntax for Concurrency'', Classical and Quantum Information Flow, Bellairs Research Institute, McGill University, Holetown, Barbados. (invited)
[T14] February 2011. ''The Category Theory of Quantum Field Theory'', Category Theory seminar series, University of Cambridge, UK. (invited)
[T13] February 2011. ''123 TQFTs'', Workshop on Higher Gauge Theory, TQFT and Quantum Gravity, Instituto Superior Técnico, Lisbon, Portugal. (invited)
[T12] June 2010. ''Functorial Semantics of Systems, Spaces and Logics'', Seminar on the Semantics of Information, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Germany. (invited)
[T11] May 2010. ''Introduction to Monoidal Categories and the Graphical Calculus'', QICS Spring School on Foundational Structures in Quantum Computation and Information, University of Oxford, UK. (invited)
[T10] March 2010. ''3D TQFTs as Frobenius Algebras'', Workshop on Information Theory, Quantum Mechanics and Security, Bellairs Research Institute, McGill University, Holetown, Barbados. (invited)
[T9] January 2010. ''Complex Numbers and Categorical Structures'', Theoretical Computer Science seminar series, University of Birmingham, UK. (invited)
[T8] October 2009. ''A New Description of Maximally-Entangled Meaasurements'', Second Workshop on Informatic Phenomena (WIP 2009), Tulane University, New Orleans, USA. (invited)
[T7] June 2009. ''Higher-Dimensional Quantum Mechanics'', Categories, Quanta, Concepts, Perimeter Institute, Waterloo, Canada. (invited)
[T6] November 2008. ''A Guide to the Dagger-Functor in Quantum Theory'', Analytic Topology seminar series, Mathematical Institute, University of Oxford, UK. (invited)
[T5] September 2008. ''The Way of the Dagger'', Foundational Structures for Quantum Information and Computation, Obergurgl, Austria. (invited)
[T4] March 2008. ''Generalizing C*-Algebras'', Workshop on Logic, Physics and Quantum Information Theory, Bellairs Research Institute, McGill University, Holetown, Barbados. (invited)
[T3] January 2008. ''A Categorical Framework for the Quantum Harmonic Oscillator'', First Workshop on Categories, Logic and the Foundations of Physics, Imperial College London, UK. (invited)
[T2] August 2007. ''A Categorical Framework for the Quantum Harmonic Oscillator'', Workshop on Categorical Quantum Logic, Department of Computer Science, University of Oxford, UK. (invited)
[T1] May 2007. ''A Categorical Framework for the Quantum Harmonic Oscillator'', Group Seminar, Department of Computer Science, University of Oxford, UK. (invited)

Public engagement

I find public outreach work exciting and fulfilling, and consider it an important part of an academic career. With David Reutter, I have developed a public engagement workshop, called Qubit.Zone, where participants can explore exciting quantum ideas—including superposition, entanglement and teleportation—using hand-held electronic qubit simulators. A list of all my group's public engagement activity is given below. If you would be interested in having a Qubit.Zone workshop as part of your event, get in touch!

[E10] August 2018. We will give a Qubit.Zone workshop at Brasenose College, Oxford to a group of students from under-privileged backgrounds with an interest in maths and science.
[E9] June 2018. We gave a Qubit.Zone workshop at Corpus Christi College, Oxford, to an audience of 25 students in year 12 from schools in the north of England. (Fatimah Ahmadi and Linde Wester.)
[E8] June 2018. We gave two public workshops at the Hay Festival under the title "Build Your Own Quantum Computer!", with about 20 participants per workshop. (David Reutter and Jamie Vicary.)
[E7] April 2018. We gave three Qubit.Zone workshops at the Department of Physics in Oxford, as part of the event Marie Curious — Girls Exploring Science. There were about 15 girls per workshop. (Fatimah Ahmadi and David Reutter.)
[E6] April 2018. We gave a Qubit.Zone workshop at the Department of Computer Science, University of Oxford, as part of "Target Oxbridge", an event to encourage applications from black and mixed-race students. (Benjamin Musto and Dominic Verdon.)
[E5] February 2018. We gave two Qubit.Zone workshops at University College in Oxford as part of a mathematical sciences study day for high-achieving Year 12 students, with about 20 students per workshop. (David Reutter and Dominic Verdon.)
[E4] January 2018. We took part in Radley College STEMFest, giving two Qubit.Zone workshops each with about 20 students drawn from local Oxford schools. (David Reutter and Dominic Verdon.)
[E3] June 2017. Two Qubit.Zone workshops were given at the Mathematical Institute, University of Oxford, to two groups of girls from year 9 with an interest in science and technology. (Fatimah Ahmadi, Vaia Patta, Jamie Vicary and Linde Wester.)
[E2] June 2017. We gave two public workshops at the Hay Festival, with the title "Build Your Own Quantum Computer!", each with about 20 participants. (David Reutter and Jamie Vicary.)
[E1] June 2017. We gave two public workshops at the Cheltenham Science Festival with the title "Build Your Own Quantum Computer!", each with 20 participants. (David Reutter and Jamie Vicary.)

Other things

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

  • I maintain two popular mailing lists, one for international quantum foundations announcements with over 950 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.
  • I am the lecturer for Categorical Quantum Mechanics (with Dan Marsden, and originally with Chris Heunen). These notes are being turned into a textbook with OUP, to be published soon.
  • I frequently supervise DPhil, MSc and undergraduate students 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 was awarded in 2009. Since then I have been based in Oxford, becoming a Senior Research Fellow in 2013. In the period 2011-2014 I also held a Senior Research Fellow position at the Centre for Quantum Technologies in Singapore.

Selected Publications

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Activities

Current Students

Past Students