@article(abramsky2004categorical, author = {Samson Abramsky and Bob Coecke}, year = {2004}, title = {A categorical semantics of quantum protocols}, journal = {LiCS'04}, doi = {10.1109/LICS.2004.1319636}, ) @article(abramsky2012hstaralgebras, author = {Samson Abramsky and Chris Heunen}, year = {2012}, title = {H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics}, journal = {Proceedings of Symposia in Applied Mathematics}, doi = {10.1090/psapm/071/599}, ) @article(ambrose1945structure, author = {Warren Ambrose}, year = {1945}, title = {Structure theorems for a special class of Banach algebras}, journal = {Transactions of the American Mathematical Society}, doi = {10.1090/S0002-9947-1945-0013235-8}, ) @article(coecke2011interacting, author = {Bob Coecke and Ross Duncan}, year = {2011}, title = {Interacting quantum observables: categorical algebra and diagrammatics}, journal = {New Journal of Physics}, doi = {10.1088/1367-2630/13/4/043016}, ) @article(coecke2008classical, author = {Bob Coecke and Eric Oliver Paquette and Dusko Pavlovic}, year = {2008}, title = {Classical and quantum structuralism}, journal = {Semantic techniques for quantum computation}, doi = {10.1017/CBO9781139193313.003}, ) @article(Farrukh1975application, author = {M. O. Farrukh}, year = {1975}, title = {Application of nonstandard analysis to quantum mechanics}, journal = {Journal of Mathematical Physics}, doi = {10.1063/1.522525}, ) @article(gogioso2015categorical, author = {Stefano Gogioso}, year = {2015}, title = {{Categorical semantics for Schr\"{o}dinger's equation}}, journal = {In QPL 2015, \href{https://arxiv.org/abs/1501.06489}{arXiv:1501.06489}}, ) @phdthesis(kissinger2012pictures, author = {Aleks Kissinger}, year = {2012}, title = {Pictures of processes: automated graph rewriting for monoidal categories and applications to quantum computing}, ) @article(ozawa1993unitary, author = {Izumi Ojima and Masanao Ozawa}, year = {1993}, title = {Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics}, journal = {Open Systems and Information Dynamics}, doi = {10.1007/BF02228975}, ) @book(robinson1974nonstandard, author = {Abraham Robinson}, year = {1974}, title = {Non-standard analysis}, publisher = {Princeton University Press}, )