June 2019. Invited tutorial "Higher Categories and Quantum Structures" as part of Quantum Symmetries 2019 at Ohio State University, organized by David Penneys.
March 2019. I presented the contributed talk "Introducing homotopy.io" at SYCO 3, giving an overview of the new tool developed with Lukas Heidemann and Nick Hu.
February 2019. My student Dominic Verdon, currently a postdoc with Ashley Montanaro in Bristol, has successfully defended his doctoral thesis "Algebraic quantum structures for reference frame–independent quantum teleportation and pseudotelepathy". Congratulations Dominic!
November 2018. I will be giving a seminar to the Theoretical Physics group in Birmingham about the classification of 3d topological quantum field theories.
October 2018. I have been elected to serve on the FSCD Steering Committee as Workshop Chair.
September 2018. Research visit from Lucy Zhang, University of Toroto, to my group in Oxford.
September 2018. I will be talking about category theory and visual proofs at RCon3, a cryptocurrency conference in Berlin.
August 2018. We received 42 submissions for the First Symposium on Compositional Structures (SYCO 1), an exciting new meeting aiming to bring together the diverse communities whose work focuses on the theory and application of category-theoretical tools.
August 2018. I have been invited to be a founding editor of the new journal Compositionality.
June 2018. Paper "Coherence for Frobenius pseudomonoids and the geometry of linear proofs" (with Lawrence Dunn) accepted for publication in Logical Methods in Computer Science.
June 2018. Paper "Tight reference frame–independent quantum teleportation" (with Dominic Verdon) accepted to Physical Review A.
June 2018. Attending QPL 2018 in Halifax, a great conference in a wonderful city, and giving on a talk on our paper "Orthogonality for quantum Latin isometry squares" (joint work with Benjamin Musto).
June 2018.David Reutter and I had a great time at the Hay Festival, where we gave two sessions of our workshop "Build Your Own Quantum Computer!".
May 2018. My student Vaia Patta has successfully defended her doctoral thesis, entitled "Category Theory for Statistical Mechanics". Congratulations Vaia!
May 2018. My student Dominic Verdon has been offered a postdoctoral position in Ashley Montanaro's quantum information group at Bristol, to work on quantum algorithms and communication protocols. Congratulations Dominic!
January 2018. I have joined the Theory Group of the School of Computer Science at the University of Birmingham as a Senior Lecturer and Royal Society Fellow, to be held jointly with my position as Senior Research Fellow in Oxford.
November 2017. I have been interviewed by BBC TV about quantum computers for their technology program "Click!" (my bits start at about 2:20, 3:20 and 5:25.)
October 2017. Welcome to Jean-Simon Lemay, who has started a PhD with me at the University of Oxford.
September 2017. I am serving as Workshop Chair for FSCD 2017, where we will be hosting 11 fantastic workshops: EUTypes, HDRA, HoTT, IFIP, IWC, LFMTP, SD, String, TLLA, UNIF and WPTE.
August 2017. I have been offered a Royal Society University Research Fellowship.
February 2017. I have been offered an EPSRC Early Career Fellowship.
January 2017. New preprint "Shaded tangles for the design and verification of quantum programs" (with David Reutter), describing new techniques for drawing quantum circuits as shaded tangles, so that circuit verification is just knot isotopy. We also give a new state transfer algorithm for a cluster-based quantum computer, give new constructions of error correcting codes based on unitary error bases, and identify surprising topological properties of the quarter-turn about the X-axis on the Bloch sphere.
January 2017. New preprint "A classical groupoid model for quantum networks" (with David Reutter), describing new bicategorical structures for classical networking, which can emulate nontrivial quantum protocols, including quantum key distribution.
December 2016. Our proof assistant Globular has been loaded 10,000 times by 2,500 users!
November 2016. Research visit from Jean Krivine, IRIF, Paris.
November 2016. Paper on biunitary constructions (with David Reutter) accepted to QIP 2017, the top international quantum computing conference.
September 2016. New preprint "Biunitary constructions in quantum information" (with David Reutter.) Many new construction methods relating Hadamard matrices, unitary error bases, quantum Latin squares and controlled families, all illustrated with the graphical calculus for 2-categories.
August 2016. Public lecture "Our quantum future" at the University of Dalhousie, Halifax, Canada, introducing quantum computers and discussing the possible impact they might have on society.
July 2016. Invited lecturer for the AARMS Summer School, University of Dalhousie, Halifax, Canada. I gave a 30-hour course on Categories, Quantum Computation and Topology to 30 excellent and motivated students, including a big practical component using Globular.
May 2016. New result (with Krzysztof Bar), formalized here: every adjunction in a semistrict 4-category can be promoted to satisfy the butterfly equations.
April 2016. Paper "Globular: a proof assistant for higher rewriting" (with Krzysztof Bar and Aleks Kissinger) accepted for FSCD 2016.
March 2016. Semistrict 4-categories are now supported by Globular.
January 2016. Preprint "Surface proofs for linear logic" (with Lawrence Dunn) available online, describing a coherence result for Frobenius pseudomonoids and swallowtailators, with applications to proof equivalence for linear logic. UPDATE: different parts of this work accepted for workshops HDRA 2016 and LINEARITY 2016.
December 2015. We are excited to announce the launch of Globular (with Krzysztof Bar and Aleks Kissinger), a new online proof assistant for higher category theory. UPDATE: Over 6000 views in 6 months since launch, and 236 person-hours of use!
April 2015. Preprint "Quantum Latin squares and unitary error bases" (with Benjamin Musto) now available, which introduces quantum Latin squares and shows how they can be used to construct new sorts of teleportation protocol. UPDATE: accepted for QIP 2016, the top annual quantum information conference. UPDATE: to appear in Quantum Information & Computation.
[P34] Antonin Delpeuch and Jamie Vicary (2018). "Normalization for planar string diagrams and a quadratic equivalence algorithm". 38 pages. arXiv:1804.07832.
[P32] Dominic Verdon and Jamie Vicary (2018). "Quantum teleportation with infinite reference frame uncertainty". 30 pages. arXiv:1802.0904.
[P31] Benjamin Musto and Jamie Vicary (2018). "Orthogonality for quantum Latin isometry squares". 13 pages. arXiv:1804.04042.
[P30] David Reutter and Jamie Vicary (2018). "Shaded tangles for the design and verification of quantum programs". Proceedings of the Royal Society A. arXiv:1805.0154.
[P29] 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.
[P27] David Reutter and Jamie Vicary (2017). "A classical groupoid model for quantum networks". 29 pages. arXiv:1707.00966.
[P26] David Reutter and Jamie Vicary (2017). "Classical groupoid semantics for quantum networks". In Proceedings of the 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017), LIPIcs 72, 18 pages. doi:10.4230/LIPIcs.CALCO.2017.19.
[P25] 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.
[P24] 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.
[P23] David Reutter and Jamie Vicary (2017). "A 2-categorical approach to composing quantum structures". In Proceedings of the 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017), LIPIcs 72, 1-20. doi:10.4230/LIPIcs.CALCO.2017.20.
[P22] 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.
[P21] Krzysztof Bar and Jamie Vicary (2016). "Data structures for quasistrict higher categories". 112 pages. arXiv:1610.06908.
[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.
[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.
[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.
[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
[T73] November 2019. ''TBA'', LMS Meeting on Category Theory and its Applications, University of Leicester, UK. (invited)
[T72] June 2019. ''Higher Categories and Quantum Structures'', Summer School on Quantum Symmetries, Ohio State University, USA. (invited)
[T68] November 2018. ''Particle-field duality for 3-dimensional topological quantum field theory'', Birmingham Theoretical Physics seminar, University of Birmingham, UK. (invited)
[T67] September 2018. ''Category Theory: Visual Mathematics for the 21st Century'', RChain DevCon, Berlin, Germany. (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)
[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)
[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)
[T48] July 2016. ''Categories, Quantum Computation and Topology'', AARMS Summer School Lectures, University of Dalhousie, Halifax, Canada. 30-hour intensive lecture course (invited)
[T29] April 2014. ''A Geometrical Logic for Classical and Quantum Computation'', Computer Science Theory Seminar, Queen Mary University of London, UK. (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)
[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 gave a Qubit.Zone workshop at Brasenose College, Oxford to a group of students from under-privileged backgrounds with an interest in maths and science. (Fatimah Ahmadi and Jean-Simon Lemay.)
[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.