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This paper offers a brief introduction to the framework of "general probabilistic theories", otherwise known as the "convex-operational" approach the foundations of quantum mechanics.
P. Jordan, J. von Neumann and E. P. Wigner, On an algebraic generalization of the quantum-mechanical formalism, Annals of Mathematics 35
1934
Earlier work this paper cites.
G. Birkhoff and J. von Neumann, The logic of quantum mechanics, Ann. Math. 37
1936
Earlier work this paper cites.
E. Schrödinger, Probability relations between separated systems, Proceedings of the Cambridge Philosophical Society 32
1936
Earlier work this paper cites.
J. von Neumann, Mathematical Foundations of Quantum Mechanics
1955
Earlier work this paper cites.
M. Koecher, Die geodätischen von positivitätsbereichen, Math. Annalen 135
1958
Earlier work this paper cites.
E. B. Vinberg, Homogeneous cones, Dokl. Acad. Nauk. SSSR 141
1961
Earlier work this paper cites.
N. Zierler, Axioms for non-relativistic quantum mechanics, Pacific J. Math. 11
1961
Earlier work this paper cites.
G. Mackey, Mathematical Foundations of Quantum Mechanics
1963
Earlier work this paper cites.
I. Amemiya and H. Araki, A remark on Piron’s paper, Pub. Res. Inst. Kyoto University A. 2
1967
Earlier work this paper cites.
J. Gunson, On the algebraic structure of quantum mechanics, Comm. Math. Phys. 6 (1967), 262-285
1967
Earlier work this paper cites.
B. Mielnik, Geometry of quantum states, Comm. Math. Phys. 9
1968
Earlier work this paper cites.
I. Namioka and R. Phelps, Tensor products of compact convex sets, Pac. J. Math. 31
1969
Earlier work this paper cites.
Davies and Lewis An operational approach to quantum probability, Comm. Math. Phys
1970
Earlier work this paper cites.
C. M. Edwards, The operational approach to algebraic quantum theory, Comm. Math. Phys. 16
1970
Earlier work this paper cites.
D. Foulis and C. Randall, An approach to empirical logic, Amer. Math. Monthly 77 (1970), 363-374
1970
Earlier work this paper cites.
R. Greechie, Orthomodular lattices admitting no states, J. Comb. Theory 10
1971
Earlier work this paper cites.
D. Foulis and C. Randall, The empirical logic approach to the physical sciences, in A. Hartkämper and H. von Neumann (eds.), Foundations of quantum mechanics and ordered linear spaces
1974
Earlier work this paper cites.
F. Shultz, A characterization of state spaces of orthomodular lattices, Journal of Combinatorial Theory 17 (1974) 317-328
1974
Earlier work this paper cites.
C. Piron, Foundations of Quantum Physics , W. A. Benjamin, 1976
1976
Earlier work this paper cites.
R. Wright, Spin manuals: empirical logic talks quantum mechanics, in A. R. Marlowe (ed.), Mathematical Foundations of Quantum Theory
1977
Earlier work this paper cites.
H. Araki, On a characterization of the state space of quantum mechanics, Comm. Math. Phys. 75
1980
Earlier work this paper cites.
I. Satake, Algebraic structures of symmetric domains , (Publications of the Mathematical Society of Japan, no. 14), Iwanami Shoten and Princeton University Press, 1980
1980
Earlier work this paper cites.
B. Tsirel’son, Quantum generalizations of Bell’s inequality, Lett. Math. Phys. 4
1980
Earlier work this paper cites.
D. Foulis and C. Randall, What are quantum logics and what ought they to be? in E. G. Beltrametti and B. C. van Fraassen (eds.), Current Issues in Quantum Logic
1981
Earlier work this paper cites.
D. Foulis and C. Randall, Empirical logic and tensor products, in H. Neumann (ed.), Interpretations and Foundations of quantum Theory , B. I. Wisssenschaft, Mannheim (1981)
1981
Earlier work this paper cites.
D. Dieks, Communication by EPR devices, Physics Letters A, vol. 92(6) (1982), pp. 2711¤72
1982
Cited alongside, same era.
W.K. Wootters and W.H. Zurek, A Single Quantum Cannot be Cloned, Nature 299
1982
Cited alongside, same era.
H. Hanche-Olsen, JB algebras with tensor products are C ∗ C^{\ast} -algebras, in H. Araki et al., (eds.), Operator Algebras and their Connections with Topology and Ergodic Theory , Lecture Notes in Mathematics 1132, Springer Verlag, 1985
1985
Cited alongside, same era.
G. Ludwig, Foundations of Quantum Mechanics
1985
Cited alongside, same era.
M. Kläy, C. H. Randall and D. J. Foulis, Tensor products and probability weights
1987
Cited alongside, same era.
2008
Later among the works it cites.
2008
Later among the works it cites.
2009
Later among the works it cites.
2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
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1988
Cited alongside, same era.
A. Wilce, The tensor product in generalized measure theory, Int. J. Theor. Phys. Volume 31, 1915-1928 (1992)
1992
Cited alongside, same era.
C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W. K. Wootters, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels, Phys. Rev. Lett. 70
1993
Cited alongside, same era.
A. Dvurecenskij, Gleason’s Theorem and Its Applications
1993
Cited alongside, same era.
J. Faraut and A. Koranyi, Analysis on Symmetric Cones
1994
Cited alongside, same era.
M. P. Soler, A characterization of Hilbert spaces by orthomoular spaces, Comm. Alg. 23
1995
Cited alongside, same era.
H. Barnum, C. Caves, C. Fuchs, R. Josza and B. Schumacher, Noncommuting mixed states cannot be broadcast, Physical Review Letters 76
1996
Cited alongside, same era.
2009
Later among the works it cites.
2009
Later among the works it cites.
B. Dakic and C. Brukner, Quantum theory and beyond: is entanglement special? arXiv:0911.0695 (2009)
2009
Later among the works it cites.
M. Pawlowski, T. Paterek, D. Kaszlikowski, V. Scarani, A. Winter, M. Zukowski, Information causality as a physical principle, Nature 461
2009
Later among the works it cites.
J. Rau, On quantum vs. classical probability, Annals of Physics 324 (2009) 2622–2637
2009
Later among the works it cites.
2009
Later among the works it cites.
H. Barnum, J. Barrett, L. Clark, M. Leifer, R. Spekkens, N. Stepanik, A. Wilce and R. Wilke, Entropy and information causality in general probabilistic theories, New Journal of Physics 12
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
P. Goyal, From information geometry to to quantum theory, New J. Phys. 12 (2010), 023012
2010
Later among the works it cites.
P. Selinger, Autonomous categories in which A A is isomorphic to A ∗ A^{\ast} Extended Abstract. In Proceedings of the 7th International Workshop on Quantum Physics and Logic (QPL 2010), Oxford, 151-160, 2010
2010
Later among the works it cites.
2010
Later among the works it cites.
Formalism and interpretation in quantum theory, Found. Phys. 2010
2010
Later among the works it cites.
B. Coecke, A universe of interacting processes and some of its guises, in H. Halvorsen (ed.), Deep Beauty: understanding the quantum world through mathematical innovation
2011
Later among the works it cites.
A. Holevo, Probabilistic and statistical Aspects of Quantum Mechanics
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
G. de la Torre, Ll. Masanes, A. Short and M. Mueller, Deriving quantum theory from its local structure and reversibility, arXiv:1110:5482
2011
Later among the works it cites.
P. Selinger, Finite dimensional Hilbert spaces are complete for dagger-compact categories (extended abstract), Proceedings of the 5th International Workshop on Quantum Physics and Logic (QPL 2008), Reykjavik . ENTCS 270(1) (2011), 113-119
2011
Later among the works it cites.
A. Wilce, Symmetry, self-duality, and the Jordan structure of quantum theory, arXiv:1110.6607
2011
Later among the works it cites.