@phdthesis(Ashoush2015, author = {Daniela Ashoush}, year = {2015}, title = {{Categorical Models of Meaning : Accommodating for Lexical Ambiguity and Entailment}}, type = {Master's thesis}, school = {Oxford University}, ) @article(Ashoush, author = {Daniela Ashoush and Bob Coecke}, year = {2016}, title = {{Dual Density Operators and Natural Language Meaning}}, journal = {Electronic Proceedings in Theoretical Computer Science}, volume = {221}, pages = {1--10}, doi = {10.4204/EPTCS.221.1}, ) @article(Balkr, author = {Esma Balkir and Dimitri Kartsaklis and Mehrnoosh Sadrzadeh}, title = {{Sentence Entailment in Compositional Distributional Semantics}}, journal = {International Symposium on Artificial Intelligence and Mathematics (ISAIM)}, doi = {10.1007/978-3-319-28678-5\_1}, url = {https://arxiv.org/abs/1512.04419}, ) @inproceedings(Balkir2016, author = {Esma Balkir and Mehrnoosh Sadrzadeh and Bob Coecke}, year = {2016}, title = {{Distributional sentence entailment using density matrices}}, booktitle = {Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)}, volume = {9541}, pages = {1--22}, doi = {10.1007/978-3-319-28678-5\_1}, url = {https://arxiv.org/abs/1506.06534}, ) @article(bankova2016graded, author = {Desislava Bankova and Bob Coecke and Martha Lewis and Daniel Marsden}, year = {2016}, title = {Graded Entailment for Compositional Distributional Semantics}, journal = {CoRR}, volume = {abs/1601.04908}, url = {http://arxiv.org/abs/1601.04908}, ) @article(Barnum-Barrett, author = {Howard Barnum and Jonathan Barrett}, note = {Private communication}, ) @inproceedings(blacoe2013quantum, author = {William Blacoe and Elham Kashefi and Mirella Lapata}, year = {2013}, title = {{A Quantum-Theoretic Approach to Distributional Semantics}}, booktitle = {North American Chapter of the Association for Computational Linguistics: Human Language Technologies (NAACL HLT)}, pages = {847--857}, ) @article(teleling, author = {Stephen Clark and Bob Coecke and Edward Grefenstette and Stephen Pulman and Mehrnoosh Sadrzadeh}, year = {2014}, title = {A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure}, journal = {Malaysian Journal of Mathematical Sciences}, volume = {8}, pages = {15--25}, url = {https://arxiv.org/abs/1305.0556}, ) @inproceedings(Kindergarten, author = {Bob Coecke}, year = {2006}, title = {Kindergarten quantum mechanics}, booktitle = {AIP conference proceedings - Quantum Theory: Reconsiderations of the Foundations III}, volume = {810}, pages = {81--98}, doi = {10.1063/1.2158713}, url = {https://arxiv.org/abs/quant-ph/0510032}, ) @article(Coecke2015, author = {Bob Coecke and Aleks Kissinger}, year = {2015}, title = {{Categorical Quantum Mechanics I: Causal Quantum Processes}}, url = {http://arxiv.org/abs/1510.05468}, ) @article(Coecke2016, author = {Bob Coecke and Aleks Kissinger}, year = {2016}, title = {{Categorical Quantum Mechanics II: Classical-Quantum Interaction}}, doi = {10.1142/S0219749916400207}, url = {https://arxiv.org/abs/1605.08617}, ) @book(CoeckeBOOK, author = {Bob Coecke and Aleks Kissinger}, year = {2017}, title = {Picturing Quantum Processes: {A} First Course in Quantum Theory and Diagrammatic Reasoning}, publisher = {Cambridge University Press}, doi = {10.1017/9781316219317}, ) @inbook(CoeckeMartin, author = {Bob Coecke and Keye Martin}, year = {2011}, title = {A Partial Order on Classical and Quantum States}, pages = {593--683}, publisher = {Springer Berlin Heidelberg}, address = {Berlin, Heidelberg}, doi = {10.1007/978-3-642-12821-9\_10}, ) @inbook(CPaqPav, author = {Bob Coecke and {\'E}ric~Oliver Paquette and Dusko Pavlovi{\'c}}, year = {2009}, title = {Classical and Quantum Structuralism}, pages = {29–69}, publisher = {Cambridge University Press}, doi = {10.1017/CBO9781139193313.003}, ) @article(CPV, author = {Bob Coecke and Dusko Pavlovi{\'c} and Jamie Vicary}, year = {2013}, title = {A new description of orthogonal bases}, journal = {Mathematical Structures in Computer Science}, volume = {23}, pages = {555--567}, doi = {10.1017/S0960129512000047}, url = {https://arxiv.org/abs/0810.0812}, ) @article(Coeckea, author = {Bob Coecke and Mehrnoosh Sadrzadeh and Stephen Clark}, year = {2011}, title = {{Mathematical Foundations for a Compositional Distributional Model of Meaning}}, journal = {Linguistic Analysis}, volume = {36}, number = {1-4}, pages = {345--384}, url = {https://arxiv.org/abs/1003.4394}, ) @article(Cunningham-privite, author = {Oscar Cunningham}, note = {Private communication}, ) @article(Horodecki2007, author = {Ryszard Horodecki and Pawel Horodecki and Michal Horodecki and Karol Horodecki}, year = {2009}, title = {{Quantum entanglement}}, journal = {Reviews of Modern Physics}, doi = {10.1103/RevModPhys.81.865}, url = {https://arxiv.org/abs/quant-ph/0702225}, ) @inproceedings(Marsden15, author = {Daniel Marsden}, year = {2015}, title = {A Graph Theoretic Perspective on CPM(Rel)}, booktitle = {Proceedings 12th International Workshop on Quantum Physics and Logic}, pages = {273--284}, doi = {10.4204/EPTCS.195.20}, ) @inproceedings(Penrose1971, author = {Roger Penrose}, year = {1971}, title = {{Applications of Negative Dimensional Tensors}}, booktitle = {Combinatorial Mathematics and its Applications}, publisher = {Academic Press}, pages = {221--244}, ) @inproceedings(Piedeleu2015, author = {Robin Piedeleu and Dimitri Kartsaklis and Bob Coecke and Mehrnoosh Sadrzadeh}, title = {{Open System Categorical Quantum Semantics in Natural Language Processing}}, booktitle = {Proceedings of the 6th Conference on Algebra and Coalgebra in Computer Science}, doi = {10.4230/LIPIcs.CALCO.2015.270}, url = {http://arxiv.org/abs/1502.00831}, ) @article(Selinger2007, author = {Peter Selinger}, year = {2007}, title = {{Dagger Compact Closed Categories and Completely Positive Maps. (Extended Abstract)}}, journal = {Electronic Notes in Theoretical Computer Science}, volume = {170}, pages = {139--163}, doi = {10.1016/j.entcs.2006.12.018}, ) @book(VonNeumann1955, author = {{Von Neumann}, John}, year = {1955}, title = {{Mathematical Foundations of Quantum Mechanics}}, doi = {10.2307/2313034}, ) @inproceedings(Weteringen, author = {John van~de Wetering}, year = {2016}, title = {Entailment Relations on Distributions}, booktitle = {Proceedings of the 2016 Workshop on Semantic Spaces at the Intersection of NLP, Physics and Cognitive Science, SLPCS@QPL 2016, Glasgow, Scotland, 11th June 2016.}, pages = {58--66}, doi = {10.4204/EPTCS.221.7}, ) @article(Zwart2017, author = {Maaike Zwart and Bob Coecke}, year = {2017}, title = {{Double Dilation $\not=$ Double Mixing}}, url = {http://arxiv.org/abs/1704.02309}, )