References

  1. S. Abramsky & B. Coecke (2005): Abstract Physical Traces. Theory and Applications of Categories 14, pp. 111–124. Available at http://arxiv.org/abs/0910.3144.
  2. E. M. Alfsen & F. W. Shultz (2003): Geometry of state spaces of operator algebras. Birkhäuser, doi:10.1007/978-1-4612-0019-2.
  3. J. Baez (2012): Division algebras and quantum theory. Foundations of Physics 42, pp. 819–855, doi:10.1007/s10701-011-9566-z. Available at http://arxiv.org/abs/1101.5690.
  4. H. Barnum, M. A. Graydon & A. Wilce (in preparation): Composites and categories of Euclidean Jordan algebras.
  5. H. Barnum, M. Müller & C. Ududec (2014): Higher-order interference and single-system postulates characterizing quantum theory. New Journal of Physics 16, pp. 123029, doi:10.1088/1367-2630/16/12/123029. Available at http://arxiv.org/abs/1403.4147.
  6. H. Barnum & A. Wilce (2011): Information processing in convex operational theories. Electronic Notes in Theoretical Computer Science 270, pp. 3–15, doi:10.1016/j.entcs.2011.01.002. Available at http://arxiv.org/abs/0908.2352.
  7. H. Barnum & A. Wilce (2014): Local tomography and the Jordan structure of quantum theory. Foundations of Physics 44, pp. 192–212, doi:10.1007/s10701-014-9777-1. Available at http://arxiv.org/abs/1202.4513v2.
  8. J. Faraut & A. Koranyi (1994): Analysis on Symmetric Cones. Oxford.
  9. H. Hanche-Olsen (1983): On the structure and tensor products of JC-algebras. Can. J. Math. 35, pp. 1059–1074, doi:10.4153/CJM-1983-059-8.
  10. H. Hanche-Olsen & E. Størmer (1984): Jordan Operator Algebras. Pitman, Boston-London-Melbourne. Available at http://www.math.ntnu.no/~hanche/joa/.
  11. M. Koecher (1958): Die geodätischen von positivitätsbereichen. Math. Annalen 135, pp. 192–202, doi:10.1007/BF01351796. See also: M. Koecher (1999): The Minnesota Notes on Jordan Algebras and Their Applications. Springer..
  12. M. Müller & C. Ududec (2012): The structure of reversible computation determines the self-duality of quantum theory. Phys. Rev. Lett. 108, pp. 130401, doi:10.1103/PhysRevLett.108.130401. Available at http://arxiv.org/abs/1110.3516.
  13. I. Satake (1980): Algebraic Structures of Symmetric Domains. Publications of the Mathematical Society of Japan, No. 14. Iwanami Shoten and Princeton University Press.
  14. H. Upmeier (1980): Derivations of Jordan C^-algebras. Math. Scand. 46, pp. 251–264.
  15. E. Vinberg (1960): Homogeneous cones. Dokl. Acad. Nauk. SSSR 133, pp. 9–12. English translation: E. Vinberg (1961): Soviet Math. Dokl. 1, pp. 787-790.
  16. A. Wilce (2012): Conjugates, Filters and Quantum Mechanics. Available at http://arxiv.org/abs/1206.2897.
  17. A. Wilce (2012): Four and a half axioms for quantum mechanics. In: Y. Ben-Menahem & M. Hemmo: Probability in Physics. Springer, doi:10.1007/978-3-642-21329-8_17. Available at http://arxiv.org/abs/0912.5530.
  18. A. Wilce (2012): Symmetry and self-duality in categories of probabilistic models. In: B. Jacobs, P. Selinger & B. Spitters: Proceedings of QPL 2011, Series 95, pp. 275–279, doi:10.4204/EPTCS.95. Available at http://arxiv.org/abs/1210.0622.
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