References

  1. 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.
  2. 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.
  3. Jiri Adamek, Horst Herrlich & George E. Strecker (2009): Abstract and Concrete Categories: the Joy of Cats. Dover.
  4. Warren Ambrose (1945): Structure Theorems for a Special Class of Banach Algebras. In: Transactions of the American Mathematical Society 57, pp. 364–386, doi:10.1090/S0002-9947-1945-0013235-8.
  5. Garrett Birkhoff (1944): Subdirect unions in universal algebra. Bull. Amer. Math. Soc. 50(10), pp. 764–768, doi:10.1090/S0002-9904-1944-08235-9.
  6. Niels Bohr (1949): Discussion with Einstein on Epistemological Problems in Atomic Physics. In: Paul Arthur Schilpp: The Library of Living Philosophers, Volume 7. Albert Einstein: Philosopher-Scientist. Open Court, doi:10.1016/S1876-0503(08)70379-7.
  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): Spectral Presheaves, Kochen–Specker Contextuality, and Quantale–Valued Relations. In: Quantum Physics and Logic.
  12. Cecilia Flori (2013): A First Course in Topos Quantum Theory. Springer-Verlag Berlin Heidelberg, doi:10.1007/978-3-642-35713-8.
  13. Jonathan S Golan (1992): The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science. Longman Group UK Ltd..
  14. John Harding (2008): Orthomodularity in Dagger Biproduct Categories. Unpublished Manuscript.
  15. Chris Heunen (2008): Semimodule Enrichment. In: Electr. Notes Theor. Comput. Sci. 218, doi:10.1016/j.entcs.2008.10.012.
  16. Chris Heunen & Bart Jacobs (2011): Quantum Logic in Dagger Kernel Categories. Electr. Notes Theor. Comput. Sci. 270(2), pp. 79–103, doi:10.1016/j.entcs.2011.01.024.
  17. Chris Isham & Jeremy Butterfield (1998): A Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalised Valuations. Available at arXiv:quant-ph/9803055.
  18. 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.
  19. 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.
  20. Barry Mitchell (1965): Theory of Categories. New York Academic Press.
  21. Jet Nestruev (2003): Smooth Manifolds and Observables. Graduate Texts in Mathematics 220. Springer–Verlag New York, Inc., doi:10.1007/b98871.
  22. Peter Selinger (2011): A Survey of Graphical Languages for Monoidal Categories. In: Bob Coecke: New Structures in Physics, chapter 4. Springer, Heidelberg, pp. 289–335, doi:10.1007/978-3-642-12821-9_4.

Comments and questions to: eptcs@eptcs.org
For website issues: webmaster@eptcs.org