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A symmetric monoidal category naturally arises as the mathematical structure that organizes physical systems, processes, and composition thereof, both sequentially and in parallel.
E. Schrödinger (1935) Discussion of probability relations between separated systems. Proceedings of the Cambridge Philosophical Society
1935
Earlier work this paper cites.
G. Birkhoff and J. von Neumann (1936) The logic of quantum mechanics. Annals of Mathematics
1936
Earlier work this paper cites.
J. von Neumann (1932) Mathematische Grundlagen der Quantenmechanik. Springer-Verlag. (English translation, 1955) Mathematical Foundations of Quantum Mechanics. Princeton University Press
1955
Earlier work this paper cites.
G. W. Mackey (1957) Quantum mechanics and Hilbert space. American Mathematical Monthly
1957
Earlier work this paper cites.
A. N. Whitehead (1957) Process and Reality. Harper & Row
1957
Earlier work this paper cites.
N. Bohr (1961) Atomic Physics and Human Knowledge. Science Editions
1961
Earlier work this paper cites.
Y. Aharonov, P. G. Bergmann, and J. L. Lebowitz (1964) Time symmetry in the quantum process of measurement . Physical Review
1964
Earlier work this paper cites.
R. Haag and D. Kastler (1964) An algebraic approach to quantum field theory. Journal of Mathematical Physics
1964
Earlier work this paper cites.
E. C. Zeeman (1964) Causality implies the Lorentz group. Journal of Mathematical Physics,
1964
Earlier work this paper cites.
E. H. Kronheimer and R. Penrose (1967) On the structure of causal spaces. Mathematical Proceedings of the Cambridge Philosophical Society
1967
Earlier work this paper cites.
R. Penrose (1971) Applications of negative dimensional tensors. In: Combinatorial Mathematics and its Applications, D. Welsh (Ed), pages 221–244. Academic Press
1971
Earlier work this paper cites.
A. Jamiolkowski (1972) Linear transformations which preserve trace and positive semidefiniteness of operators. Reports on Mathematical Physics
1972
Earlier work this paper cites.
M.-D. Choi (1975) Completely positive maps on complex matrices. Linear Alg. and Its Appl
1975
Earlier work this paper cites.
D. B. Malament (1977) The class of continuous timelike curves determines the topology of spacetime. Journal of Mathematical Physics,
1977
Earlier work this paper cites.
G. M. Kelly and M. L. Laplaza (1980) Coherence for compact closed categories. Journal of Pure and Applied Algebra
1980
Earlier work this paper cites.
P. T. Johnstone (1983) The point of pointless topology. Bulletin of the American Mathematical Society
1983
Earlier work this paper cites.
D. J. Bohm and B. J. Hiley (1984) Generalization of the twistor to Clifford algebras as a basis for geometry. Revista Brasileira de Ensino de Fisica, Volume Especial, Os 70 anos de Mario Schönberg, pages 1–26
1984
Earlier work this paper cites.
G. Ludwig (1985) An Axiomatic Basis of Quantum Mechanics. 1. Derivation of Hilbert Space. Springer-Verlag
1985
Earlier work this paper cites.
D. J. Bohm (1986) Time, the implicate order and pre-space. In: Physics and the Ultimate Significance of Time, D. R. Griffin (Ed.), pages 172–208, SUNY Press
1986
Cited alongside, same era.
J. Lambek and P. J. Scott (1986) Higher Order Categorical Logic. Cambridge UP
1986
Cited alongside, same era.
G. Ludwig (1987) An Axiomatic Basis of Quantum Mechanics. 2. Quantum Mechanics and Macrosystems. Springer-Verlag
1987
Cited alongside, same era.
A. Asperti and G. Longo (1991) Categories, types, and structures: an introduction to category theory for the working computer scientist. MIT Press
1991
Cited alongside, same era.
A. Joyal and R. Street (1991) The Geometry of tensor calculus I. Advances in Mathematics
1991
Cited alongside, same era.
2010
Later among the works it cites.
B. Coecke (2010) Quantum picturalism. Contemporary Physics
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
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J. C. Baez and J. Dolan (1995) Higher-dimensional algebra and topological quantum field theory. Journal of Mathematical Physics
1995
Cited alongside, same era.
M. Rédei (1997) Why John von Neumann did not like the Hilbert space formalism of quantum mechanics (and what he liked instead). Studies in History and Philosophy of Modern Physics
1997
Cited alongside, same era.
C. Isham (2002) Some reflections on the status of conventional quantum theory when applied to quantum gravity. Talk presented at Stephen Hawking’s 60th birthday symposium. arXiv:quant-ph/0206090
2002
Cited alongside, same era.
S. Abramsky and B. Coecke (2004) A categorical semantics of quantum protocols. In: Proceedings of 19th IEEE conference on Logic in Computer Science, pages 415–425. IEEE Press. arXiv:quant-ph/0402130
2004
Cited alongside, same era.
R. D. Sorkin (2005) Causal sets: Discrete gravity (Notes for the Valdivia Summer School). In A. Gomberoff and D. Marolf, editors, Lectures on Quantum Gravity (Proceedings of the Valdivia Summer School), Plenum. arXiv:gr-qc/0309009
2005
Cited alongside, same era.
J. C. Baez (2006) Quantum quandaries: a category-theoretic perspective. In: The Structural Foundations of Quantum Gravity, D. Rickles, S. French and J. T. Saatsi (Eds), pages 240–266. Oxford University Press. arXiv:quant-ph/0404040
2006
Cited alongside, same era.
D. J. Bohm, P. G. Davies and B. J. Hiley (1982) Algebraic quantum mechanics and pre-geometry, draft paper. Was published in 2006 in: Quantum theory: reconsiderations of roundations – 3, Växjö , G. Adenier, A.-Y. Krennikov and T. M. Nieuwenhuizen (Eds), pages 314–324, AIP
2006
Cited alongside, same era.
R. Duncan and S. Perdrix (2010) Rewriting measurement-based quantum computations with generalised flow. In: Proceedings of the 37th International Colloquium on Automata, Languages and Programming (ICALP), Lecture Notes in Computer Science 6199, Springer-Verlag
2010
Later among the works it cites.
2010
Later among the works it cites.
B. J. Hiley (2010) Process, distinction, groupoids and Clifford algebras: an alternative view of the quantum formalism. In: New Structures for Physics, B. Coecke (Ed.), pages 705–752. Springer Lecture Notes in Physics 813, Springer-Verlag
2010
Later among the works it cites.
S. Abramsky and N. Tzevelekos (2011) Introduction to categories and categorical logic. In: New Structures for Physics, B. Coecke (ed), pages 3–89. Lecture Notes in Physics. Springer-Verlag
2011
Closest in time.
2011
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2011
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2011
Closest in time.
2011
Closest in time.
2011
Closest in time.
2011
Closest in time.
2011
Closest in time.
P. Selinger (2011) Finite dimensional Hilbert spaces are complete for dagger compact closed categories. Electronic Notes in Theoretical Computer Science
2011
Closest in time.
R. Blute, I. T. Ivanov and P. Panangaden (2003) Discrete quantum causal dynamics. International Journal of Theoretical Physics
2041
Closest in time.
F. Markopoulou (2000) Quantum causal histories. Classical and Quantum Gravity
2077
Closest in time.