He pioneered categorical quantum mechanics (entry 18M40 in Mathematics Subject Classification 2020), Quantum Picturalism, ZX-calculus, DisCoCat model for natural language, quantum natural language processing (QNLP) and quantum education through the book Quantum in Pictures. He is a founder of the Quantum Physics and Logic community and the Applied Category Theory communities and conference series, and of the journal Compositionality.
Coecke is also a composer and musician, who has been called a pioneer of industrial music, and is also one of the pioneers of employing quantum computers in music.
He was an EPSRC Advanced Research Fellow at the Department of Computer Science, University of Oxford, where he became Lecturer in Quantum Computer Science in 2007, and jointly with Samson Abramsky built and headed the Quantum Group. In July 2011, he was nominated professor of Quantum Foundations, Logics and Structures at Oxford University, with retroactive effect as of October 2010. He was a Governing Body Fellow of Wolfson College, Oxford since 2007, where he now is an Emeritus Fellow.
In January 2019, Coecke became Senior Scientific Advisor of Cambridge Quantum Computing, and in January 2021 he resigned from his Professorship at Oxford, to become Chief Scientist of Cambridge Quantum Computing. After the merger of Cambridge Quantum Computing with Honeywell Quantum Systems, he stayed on as Chief Scientist of the joint entity Quantinuum until 2025.
Coecke is also a musician, performing and recording since the eighties. He retrospectively has been named a pioneer of industrial music. His band, Black Tish, "used cutting edge sampling techniques for the time, a host of synth and sound loops and metal-style guitars to create a heavy rock/electronica fusion unlike anything heard before", and "bridge the gap between the pure experimental nature of bands like Throbbing Gristle and Einstürzende Neubauten and the (comparatively) more radio accessible Ministry or Nine Inch Nails".
Coecke is also one of the pioneers of employing quantum computers in music.
Selected publications
Textbooks
Bob Coecke, Aleks Kissinger:Picturing Quantum Processes. A First Course in Quantum Theory and Diagrammatic Reasoning, Cambridge University Press, 2017, ISBN978-1316219317
Bob Coecke, Stefano Gogioso:Quantum in Pictures, Quantinuum, 2022, ISBN978-1-7392147-1-5
Books (as editor)
Bob Coecke, David Moore, Alexander Wilce (eds.): Current Research in Operational Quantum Logic: Algebras, Categories, Languages, Fundamental Theories of Physics, Kluwer Academic, 2010, ISBN978-9048154371
Bob Coecke (ed.): New Structures for Physics, Lecture Notes in Physics 813, Springer, 2011, ISBN978-3642128202
Samson Abramsky, Bob Coecke: A categorical semantics of quantum protocols, Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004, pp.415–425
Bob Coecke, Ross Duncan: Interacting quantum observables, Automata, Languages and Programming, pp.298–310, 2008
Konstantinos Meichanetzidis, Alexis Toumi, Giovanni de Felice, Bob Coecke: Grammar-Aware Question-Answering on Quantum Computers, arXiv:2012.03756
Eduardo Reck Miranda, Richie Yeung, Anna Pearson, Konstantinos Meichanetzidis, Bob Coecke: A quantum natural language processing approach to musical intelligence, arXiv:2111.06741
Dimitri Kartsaklis, Ian Fan, Richie Yeung, Anna Pearson, Robin Lorenz, Alexis Toumi, Giovanni de Felice, Konstantinos Meichanetzidis, Stephen Clark, Bob Coecke: lambeq: An efficient high-level python library for quantum NLP, arXiv:2110.04236
Giovanni de Felice, Alexis Toumi, Bob Coecke: Discopy: monoidal categories in Python, arXiv:2111.06741
↑Coecke, Bob; Kissinger, Aleks (16 March 2017). Picturing quantum processes: a first course in quantum theory and diagrammatic reasoning. Cambridge University Press. ISBN978-1107104228. OCLC1026174191.
↑Coecke, Bob; Sadrzadeh, Mehrnoosh; Clark, Stephen (2011), Mathematical Foundations for a Compositional Distributional Model of Meaning, arXiv:1003.4394
↑Cody Conard: Black Tish - Throbbing Flip Out (Blindsight Records), The Big Takeover Show, 15 October 2023 (review)
↑Layla Marino: New Artist Spotlight? Sort of: Meet Black Tish, the Pioneering Industrial Band that Released their Work 35 Years Late, YourEDM, 4 October 2023 ()
↑Layla Marino: Roll Over Quanthoven: Can Quantum Computers Be Programmed To Become Quantum Composers?,
Matt Swayne, 19 November 2021 ()
12Bob Coecke, Department of Computer Science, University of Oxford (downloaded 1 April 2012)
↑Faculty Computing Laboratory at the University of Oxford (downloaded 1 April 2012)
↑Cambridge Quantum Makes Quantum Natural Language Processing A Reality, Forbes, 13 October 2021 ()
↑Cody Conard: Black Tish - Throbbing Flip Out (Blindsight Records), The Big Takeover Show, 15 October 2023 (review)
↑Layla Marino: New Artist Spotlight? Sort of: Meet Black Tish, the Pioneering Industrial Band that Released their Work 35 Years Late, YourEDM, 4 October 2023 (review)
↑Layla Marino: New Artist Spotlight? Sort of: Meet Black Tish, the Pioneering Industrial Band that Released their Work 35 Years Late, YourEDM, 4 October 2023 (review)
↑Cody Conard: Black Tish - Throbbing Flip Out (Blindsight Records), The Big Takeover Show, 15 October 2023 (review)
↑Layla Marino: Roll Over Quanthoven: Can Quantum Computers Be Programmed To Become Quantum Composers?,
Matt Swayne, 19 November 2021 (article)