@conference{pattgraph-dcm-2012, title = "Pattern Graph Rewrite Systems", author = "Aleks Kissinger and Alex Merry and Matvey Soloviev", year = "2012", url = "http://arxiv.org/abs/1204.6695", } @inproceedings{CK, title = "The Compositional Structure of Multipartite Quantum Entanglement", author = "Bob Coecke and Aleks Kissinger", year = "2010", booktitle = "Proceedings of the 37th International Colloquium on Automata, Languages and Programming (ICALP)", note = "Extended version: {a}rXiv:1002.2540", pages = "297-308", series = "Lecture Notes in Computer Science", } @inproceedings{Dixon, Duncan, Kissinger: Open Graphs and Computational Reasoning, title = "Open Graphs and Computational Reasoning", author = "Lucas Dixon and Ross Duncan and Aleks Kissinger", year = "2010", url = "http://arxiv.org/abs/1007.3794v1", } @incollection{Rewriting Measurement-Based Quantum Computations with Generalised Flow, title = "Rewriting Measurement-Based Quantum Computations with Generalised Flow", author = "Ross Duncan and Simon Perdrix", year = "2010", affiliation = "Oxford University Computing Laboratory", booktitle = "Automata, Languages and Programming", editor = "Abramsky, Samson and Gavoille, Cyril and Kirchner, Claude and Meyer auf der Heide, Friedhelm and Spirakis, Paul", note = "10.1007/978-3-642-14162-1_24", pages = "285-296", publisher = "Springer Berlin / Heidelberg", series = "Lecture Notes in Computer Science", url = "http://dx.doi.org/10.1007/978-3-642-14162-1_24", volume = "6199", } @techreport{Dixon2010, title = "Open Graphs and Monoidal Theories", author = "Lucas Dixon and Aleks Kissinger", year = "2010", url = "http://arxiv.org/abs/1011.4114", } @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", } @conference{Dixon, Kissinger: Monoidal Categories, Graphical Reasoning, and Quantum Computation, title = "Monoidal Categories, Graphical Reasoning, and Quantum Computation", author = "Lucas Dixon and Aleks Kissinger", year = "2009", journal = "CAM-CAD", url = "http://www.irit.fr/~Ralph.Matthes/CAMCAD09/Papers/dixon-kissinger-camcad.pdf", } @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", } @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", }