References

  1. Samson Abramsky, Rui Soares Barbosa, Kohei Kishida, Raymond Lal & Shane Mansfield (2015): Contextuality, Cohomology and Paradox. In: Annual Conference on Computer Science Logic, pp. 211–228, doi:10.4230/LIPIcs.CSL.2015.211.
  2. Samson Abramsky & Adam Brandenburger (2011): A Unified Sheaf-Theoretic Account Of Non-Locality and Contextuality. CoRR abs/1102.0264. Available at http://stacks.iop.org/1367-2630/13/i=11/a=113036.
  3. Samson Abramsky & Bob Coecke (2004): A Categorical Semantics of Quantum Protocols. In: Symposium on Logic in Computer Science, pp. 415–425, doi:10.1109/LICS.2004.1319636.
  4. Samson Abramsky & Chris Heunen (2012): H* -algebras and nonunital Frobenius algebras: First steps in infinite dimensional categorical quantum mechanics, pp. 14–37 71. American Mathematical Society, doi:10.1090/psapm/071.
  5. Niels Bohr (1949): Discussion with Einstein on Epistemological Problems in Atomic Physics. In: Paul Arthur Schilpp: The Library of Living Philosophers, Albert Einstein: Philosopher-Scientist 7. Open Court, doi:10.1016/s1876-0503(08)70379-7.
  6. Bob Coecke & Bill Edwards (2011): Toy Quantum Categories (Extended Abstract). In: Electr. Notes Theor. Comput. Sci. 270, pp. 29–40, doi:10.1016/j.entcs.2011.01.004.
  7. Bob Coecke, Dusko Pavlovic & Jamie Vicary (2013): A new description of orthogonal bases. In: Mathematical Structures in Computer Science 23, pp. 555–567, doi:10.1017/s0960129512000047.
  8. John B. Conway (2000): A Course in Operator Theory. Graduate Studies in Mathematics 21. American Mathematical Society, doi:10.1090/gsm/021.
  9. Andreas Doering & Chris Isham (2011): What is a Thing?. In: Bob Coecke: New Structures in Physics, chapter 13. Springer, Heidelberg, pp. 753–940, doi:10.1007/978-3-642-12821-9_13.
  10. Kevin Dunne (2017): A New Perspective on Observables in the Category of Relations: A Spectral Presheaf for Relations, pp. 252–264. Springer International Publishing, doi:10.1007/978-3-319-52289-0_20.
  11. Kevin Dunne (2017): On the Structure of Abstract H*–Algebras. In: Quantum Physics and Logic.
  12. Cecilia Flori (2013): A First Course in Topos Quantum Theory. Springer–Verlag, doi:10.1007/978-3-642-35713-8.
  13. Steven Givant & Paul Halmos (2009): Introduction to Boolean Algebras. Springer–Verlag, doi:10.1007/978-0-387-68436-9_2.
  14. Stefano Gogioso & William Zeng (2015): Mermin Non-Locality in Abstract Process Theories. In: Proceedings 12th International Workshop on Quantum Physics and Logic, pp. 228–246, doi:10.4204/eptcs.195.17.
  15. Jonathan S Golan (1992): The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science. Longman Group UK Limited.
  16. Chris Heunen (2008): Semimodule Enrichment. In: Electr. Notes Theor. Comput. Sci. 218, pp. 193–208, doi:10.1016/j.entcs.2008.10.012.
  17. Chris Isham & Jeremy Butterfield: A Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalised Valuations. Available at arXiv:quant-ph/9803055.
  18. Chris J. Isham (1995): Lectures on Quantum Theory: Mathematical and Structural Foundations. Imperial College Press, doi:10.1142/p00.
  19. Peter T. Johnstone (1982): Stone Spaces. Cambridge University Press.
  20. Gregory M. Kelly & Miguel L. Laplaza (1980): Coherence for Compact Closed Categories. In: Journal of Pure and Applied Algebra 19, pp. 193–213, doi:10.1016/0022-4049(80)90101-2.
  21. S. Kochen & E. P. Specker (1975): Logical Structures Arising in Quantum Theory. In: The Logico-Algebraic Approach to Quantum Mechanics, pp. 263–276, doi:10.1007/978-94-010-1795-4_15.
  22. Barry Mitchell (1965): Theory of Categories. New York Academic Press.
  23. Jet Nestruev (2003): Smooth Manifolds and Observables. Graduate Texts in Mathematics 220. Springer–Verlag New York, Inc., doi:10.1007/b98871.
  24. Kimmo .I. Rosenthal (1990): Quantales and their applications. Pitman research notes in mathematics series. Longman Scientific & Technical.
  25. Justin R. Smith (2014): Introduction to Algebraic Geometry. Five Dimensions Press.
  26. Robert W. Spekkens (2007): Evidence for the epistemic view of quantum states. In: Phys. Rev. A 75, doi:10.1103/physreva.75.032110.

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