@inbook{Duncan:2009cs, title = "Generalised Proof-Nets for Compact Categories with Biproducts", author = "Ross Duncan", year = "2009", booktitle = "Semantics of Quantum Computation", editor = "S. Gay and I. Mackie", keywords = "categorical quantum mechanics; compact closed categories; proof-nets; quantum computing", note = "Preprint available at http://arxiv.org/abs/0903.5154", publisher = "Cambridge University Press", } @inproceedings{Duncan:2009ph, title = "Graph States and the necessity of Euler Decomposition", author = "Ross Duncan and Simon Perdrix", year = "2009", booktitle = "Computability in Europe: Mathematical Theory and Computational Practice (CiE'09)", editor = "Ambos-Spies, K. and L\"{o}we, B. and Merkle, W.", keywords = "quantum computing; categorical quantum mechanics; graphical calculi; measurement-based quantum computing; entanglement", note = "Preprint available at http://arxiv.org/abs/0902.0500", pages = "167--177", publisher = "Springer", series = "Lecture Notes in Computer Science", volume = "5635", doi = "10.1007/978-3-642-03073-4", } @article{Lucas-Dixon:2009yq, title = "Graphical Reasoning in Compact Closed Categories for Quantum Computation", author = "Lucas Dixon and Ross Duncan", year = "2009", journal = "Annals of Mathematics and Artificial Intelligence", keywords = "categorical quantum mechanics; compact closed categories; rewriting; graphical calculi", note = "preprint available at http://arxiv.org/abs/0902.0514", doi = "10.1007/s10472-009-9141-x", } @inproceedings{Dixon:2008ys, title = "Extending Graphical Representations for Compact Closed Categories with Applications to Symbolic Quantum Computation", author = "Lucas Dixon and Ross Duncan", year = "2008", booktitle = "Intelligent Computer Mathematics, 9th International Conference, AISC 2008, 15th Symposium, Calculemus 2008, 7th International Conference, MKM 2008, Birmingham, UK, July 28 - August 1, 2008. Proceedings", editor = "Autexier, Serge and Campbell, John and Rubio, Julio and Sorge, Volker and Suzuki, Masakazu and Wiedijk, Freek", keywords = "rewriting; quantum computing; categorical logic; interactive theorem proving; graphical calculi", pages = "77-92", publisher = "Springer", series = "Lecture Notes in Computer Science", volume = "5144", doi = "10.1007/978-3-540-85110-3_8", } @inproceedings{Coecke:2008nx, title = "Interacting Quantum Observables", author = "Bob Coecke and Ross Duncan", year = "2008", booktitle = "Automata, Languages and Programming, 35th International Colloquium, ICALP 2008, Reykjavik, Iceland, July 7-11, 2008, Proceedings, Part II", keywords = "categorical quantum mechanics; quantum computing;", note = "A significantly revised and expanded version of this paper is available as preprint http://arxiv.org/abs/0906.4725", pages = "298-310", publisher = "Springer", series = "Lecture Notes in Computer Science", volume = "5126", doi = "10.1007/978-3-540-70583-3_25", } @phdthesis{Duncan:thesis:2006, title = "Types for Quantum Computing", author = "Ross Duncan", year = "2006", institution = "Oxford University", note = "This thesis was the runner up for the British Computer Society Distinguished Dissertation award.", url = "http://www.bcs.org/server.php?show=conMediaFile.10119", } @article{AbrDun:CQLv2:2004, title = "A Categorical Quantum Logic", author = "Samson Abramsky and Ross Duncan", year = "2006", journal = "Mathematical Structures in Computer Science", note = "Preprint available at http://arxiv.org/abs/quant-ph/0512114", number = "3", pages = "469-489", volume = "16", doi = "10.1017/S0960129506005275", } @techreport{RR-04-18, title = "Believe it or not, Bell states are a model of multiplicative linear logic", author = "Ross Duncan", year = "2004", institution = "Oxford University Computing Laboratory", month = "October", number = "RR-04-18", } @inproceedings{AbrDun:CQLv1:2004, title = "A Categorical Quantum Logic", author = "Samson Abramsky and Ross Duncan", year = "2004", booktitle = "Proceedings of the 2nd International Workshop on Quantum Programming Languages", edition = "Selinger, Peter", keywords = "quantum computing; compact closed categories; proof-nets", note = "This paper is largely superceded by the MSCS publication with the same title, however some details, such as the sequent calculus presentation, are only found in this version.", series = "Turku Centre for Computer Science General Publication", url = "http://quasar.mathstat.uottawa.ca/~selinger/qpl2004/PDFS/02Abramsky-Duncan.pdf", volume = "33", }