@book{PQP, title = {{Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning}}, author = {Bob Coecke and Aleks Kissinger}, publisher = {Cambridge University Press}, year = {2017} } @article{kissinger2019causalstructurejournal, title = {A categorical semantics for causal structure (extended version)}, author = {Aleks Kissinger and Sander Uijlen}, publisher = {Springer}, journal = {Logical Methods in Computer Science (LMCS)}, volume = {15}, number = {3}, year = {2019} } @article{kissinger2019mbqc, title = {Universal MBQC with generalised parity-phase interactions and Pauli measurements}, author = {Aleks Kissinger and John van de Wetering}, journal = {Quantum}, volume = {3}, pages = {134}, year = {2019}, eprint = {\arXiv{1704.06504}{quant-ph}} } @inproceedings{jacobs2019causalstrings, title = {Causal Inference by String Diagram Surgery}, author = {Bart Jacobs and Aleks Kissinger and Fabio Zanasi}, booktitle = {Proceedings of the 22nd International Conference on Foundations of Software Science and Computation Structures (FoSSaCS)}, year = {2019}, eprint = {\arXiv{1811.08338}{cs.LO}} } @inproceedings{bonchi2018rewritemodulo, title = {Rewriting with Frobenius}, author = {Filippo Bonchi and Fabio Gadducci and Aleks Kissinger and Pawe\l{} Soboci\'{n}ski, Fabio Zanasi}, booktitle = {Proceedings of the 32nd Annual ACM/IEEE symposium on Logic in Computer Science (LICS)}, year = {2018} } @inproceedings{backens2018zh, title = {ZH: A Complete Graphical Calculus for Quantum Computations Involving Classical Non-linearity}, author = {Miriam Backens and Aleks Kissinger}, booktitle = {Proceedings of the 15th Annual conference in Quantum Physics and Logic (QPL)}, year = {2018}, eprint = {\arXiv{1805.02175}{quant-ph}} } @inproceedings{kissinger2017causalstructure, title = {A categorical semantics for causal structure}, author = {Aleks Kissinger and Sander Uijlen}, booktitle = {Proceedings of the 32nd Annual ACM/IEEE symposium on Logic in Computer Science (LICS)}, year = {2017}, eprint = {\arXiv{1701.04732}{quant-ph}} } @inproceedings{bonchi2017rewriteconf, title = {Confluence of graph rewriting with interfaces}, author = {Filippo Bonchi and Fabio Gadducci and Aleks Kissinger and Pawe\l{} Soboci\'{n}ski, Fabio Zanasi}, booktitle = {Proceedings of the 26th European Symposium on Programming (ESOP)}, year = {2017} } @inproceedings{bonchi2016rewritesmc, title = {Rewriting modulo symmetric monoidal structure}, author = {Filippo Bonchi and Fabio Gadducci and Aleks Kissinger and Pawe\l{} Soboci\'{n}ski, Fabio Zanasi}, booktitle = {Proceedings of the 31st Annual ACM/IEEE symposium on Logic in Computer Science (LICS)}, year = {2016}, eprint = {\arXiv{1602.06771}{math.CT}} } @inproceedings{kissinger2017indef, title = {Picturing Indefinite Causal Structure}, author = {Aleks Kissinger and Sander Uijlen}, booktitle = {Proceedings of the 13th Annual conference in Quantum Physics and Logic (QPL).}, year = {2016}, eprint = {\arXiv{1701.00659}{cs.OH}} } @inproceedings{globular, title = {Globular: an online proof assistant for higher-dimensional rewriting}, author = {Krzysztof Bar and Aleks Kissinger and Jamie Vicary}, booktitle = {Proceedings of the 1st International Conference on Formal Structures for Computation and Deduction (FSCD)}, year = {2016}, eprint = {\arXiv{1612.01093}{cs.LO}} } @article{coecke2015cqm2, title = {Categorical Quantum Mechanics II: Classical-Quantum Interaction}, author = {Bob Coecke and Aleks Kissinger}, journal = {International Jounal of Quantum Information}, volume = {14}, number = {4}, publisher = {World Scientific}, year = {2016}, eprint = {\arXiv{1605.08617}{quant-ph}} } @incollection{coecke2015cqm1, title = {Categorical Quantum Mechanics I: Causal Quantum Processes}, author = {Bob Coecke and Aleks Kissinger}, booktitle = {Categories for the Working Philosopher}, publisher = {Oxford University Press}, year = {2016}, eprint = {\arXiv{1510.05468}{quant-ph}} } @incollection{coecke2016generalised, title = {Generalised Compositional Theories and Diagrammatic Reasoning}, author = {Bob Coecke and Ross Duncan and Aleks Kissinger and and Quanlong Wang}, booktitle = {Quantum Theory: Informational Foundations and Foils}, publisher = {Springer}, series = {Fundamental Theories of Physics}, volume = {181}, year = {2016}, eprint = {\arXiv{1506.03632}{quant-ph}} } @inproceedings{kissinger2015noncomjournal, title = {Tensors, !-graphs, and non-commutative quantum structures (extended version)}, author = {Aleks Kissinger and David Quick}, booktitle = {Next Generation Computing 34(1). Springer/Ohmsha}, year = {2016}, eprint = {\arXiv{1503.01348}{math.CT}} } @inproceedings{kissinger2015banglogic, title = {A first-order logic for string diagrams}, author = {Aleks Kissinger and David Quick}, booktitle = {Proceedings of the 6th Conference on Algebra and Coalgebra (CALCO)}, year = {2015}, eprint = {\arXiv{1505.00343}{math.CT}} } @inproceedings{kissinger2015cfequations, title = {Equational reasoning with context-free families of string diagrams}, author = {Aleks Kissinger and Vladimir Zamdzhiev}, booktitle = {Proceedings of the International Conference on Graph Transformation (ICGT)}, year = {2015}, eprint = {\arXiv{1504.02716}{cs.LO}} } @inproceedings{quantomatic, title = {Quantomatic: A proof assistant for diagrammatic reasoning}, author = {Aleks Kissinger and Vladimir Zamdzhiev}, booktitle = {Proceedings of the 25th International Conference on Automated Deduction (CADE)}, year = {2015}, eprint = {\arXiv{1503.01034}{cs.LO}} } @inproceedings{kssinger2015cfbangbox, title = {!-Graphs with trivial overlap are context-free}, author = {Aleks Kissinger and Vladimir Zamdzhiev}, booktitle = {Proceedings of Graphs as Models (GaM), workshop at ETAPS}, year = {2015}, eprint = {\arXiv{1501.06059}{cs.LO}} } @inproceedings{kissinger2014noncom, title = {Tensors, !-graphs, and non-commutative quantum structures}, author = {Aleks Kissinger and David Quick}, booktitle = {Proceedings of the 11th workshop on Quantum Physics and Logic (QPL)}, year = {2014}, eprint = {\arXiv{1412.8552}{cs.LO}} } @inproceedings{grov2014tinker, title = {Tinker, Tailor, Solver, Proof}, author = {Gudmund Grov and Aleks Kissinger and and Yuhui Lin}, booktitle = {Proceedings of User Interfaces for Theorem Proving (UITP), workshop at FLoC, Vienna Summer of Logic}, year = {2014}, eprint = {\arXiv{1410.8217}{cs.LO}} } @inproceedings{coecke2014cpstarjournal, title = {Categories of Quantum and Classical Channels}, author = {Bob Coecke and Chris Heunen and Aleks Kissinger}, booktitle = {Quantum Information Processing, Springer}, year = {2014}, eprint = {\arXiv{1305.3821}{quant-ph}} } @incollection{kissinger2013tensor, title = {Abstract Tensor Systems as Monoidal Categories}, author = {Aleks Kissinger}, booktitle = {Categories and Types in Logic, Language, and Physics, Essays dedicated to Jim Lambek on the Occasion of this 90th Birthday}, publisher = {Springer}, series = {Lecture Notes in Computer Science (LNCS)}, volume = {8222}, year = {2013}, eprint = {\arXiv{1308.3586}{math.CT}} } @incollection{coecke2013logic, author = {Bob Coecke and Chris Heunen and Aleks Kissinger}, title = {Compositional Quantum Logic}, booktitle = {Computation, Logic, Games, and Quantum Foundations: The Many Facets of Samson Abramsky}, publisher = {Springer}, series = {Lecture Notes in Computer Science (LNCS)}, volume = {7860}, year = {2013}, eprint = {\arXiv{1302.4900}{quant-ph}} } @inproceedings{heunen2013cpproj, title = {Completely Positive Projections and Biproducts}, author = {Chris Heunen and Aleks Kissinger and Peter Selinger}, booktitle = {Proceedings of the 10th workshop on Quantum Physics and Logic (QPL)}, year = {2013}, eprint = {\arXiv{1308.4557}{math.CT}} } @inproceedings{grov2013psgraph, title = {A Graphical Language for Proof Strategies}, author = {Gudmund Grov and Aleks Kissinger and and Yuhui Lin}, booktitle = {Proceedings of the 19th International Conference of Logic for Programming, Artificial Intelligence, and Reasoning (LPAR)}, publisher = {Springer}, series = {Lecture Notes in Computer Science}, volume = {8312}, year = {2013}, eprint = {\arXiv{1302.6890}{cs.LO}} } @inproceedings{coecke2012cpstar, title = {Categories of Quantum and Classical Channels (extended abstract)}, author = {Bob Coecke and Chris Heunen and Aleks Kissinger}, booktitle = {Proceedings of the 9th workshop on Quantum Physics and Logic (QPL)}, year = {2012}, eprint = {\arXiv{1408.0049}{cs.LO}} } @inproceedings{merry2012bangbox, title = {Pattern Graph Rewrite Systems}, author = {Alex Merry and Aleks Kissinger and Matvey Soloviev}, booktitle = {Proceedings of the 8th workshop on Developments in Computational Models (DCM)}, year = {2012}, eprint = {\arXiv{1204.6695}{math.CT}} } @inproceedings{kissinger2012cosy, title = {Synthesising Graphical Theories}, author = {Aleks Kissinger}, booktitle = {Proceedings of the workshop on Automated Theory eXploration (ATX)}, year = {2012}, eprint = {\arXiv{1202.6079}{cs.AI}} } @inproceedings{coecke2012strongcomp, title = {Strong Complementarity and Non-locality in Categorical Quantum Mechanics}, author = {Bob Coecke and Ross Duncan and Aleks Kissinger and Quanlong Wang}, booktitle = {Proceedings of the 27th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)}, year = {2012}, eprint = {\arXiv{1203.4988}{quant-ph}} } @inproceedings{coecke2010rational, title = {The GHZ/W-Calculus Contains Rational Arithmetic}, author = {Bob Coecke and Aleks Kissinger and Alex Merry and and Shibdas Roy}, booktitle = {Proceedings of the CSR Workshop on High Productivity Computations}, year = {2010}, eprint = {\arXiv{1103.2812}{cs.LO}} } @inproceedings{coecke2010ghzw, title = {The Compositional Structure of Multipartite Quantum Entanglement}, author = {Bob Coecke and Aleks Kissinger}, booktitle = {Proceedings of the 37th International Colloquium on Automata, Languages, and Programming (ICALP)}, year = {2010}, publisher = {Springer}, series = {LNCS/ARCoSS}, volume = {6199}, eprint = {\arXiv{1002.2540}{quant-ph}} } @article{dixon2010open2, title = {Open Graphs and Monoidal Theories}, author = {Lucas Dixon and Aleks Kissinger}, journal = {Mathematical Structures in Computer Science}, year = {2010}, volume = {23}, number = {sp. issue 2}, eprint = {\arXiv{1011.4114}{math.CT}} } @inproceedings{dixon2010open1, title = {Open Graphs and Computational Reasoning}, author = {Lucas Dixon and Ross Duncan and and Aleks Kissinger}, booktitle = {Proceedings of the 6th workshop on Developments in Computational Models}, year = {2010}, series = {Electronic Proceedings in Theoretical Computer Science (EPTCS)}, volume = {26}, eprint = {\arXiv{1007.3794}{cs.LO}} } @inproceedings{kissinger2019explore, title = {Exploring a Quantum Theory with Graph Rewriting and Computer Algebra}, author = {Aleks Kissinger}, booktitle = {Proceedings of Calculemus}, year = {2009}, publisher = {Springer}, series = {LNCS/LNAI}, volume = {5625} }