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In this chapter we survey some particular topics in category theory in a somewhat unconventional manner.
R. F. Muirhead, Some methods applicable to identities and inequalities of symmetric algebraic functions of
1903
Earlier work this paper cites.
G. Birkhoff and J. von Neumann, The logic of quantum mechanics. Annals of Mathematics
1936
Earlier work this paper cites.
E. Schrödinger, Discussion of probability relations between separated systems. Proceedings of the Cambridge Philosophical Society
1936
Earlier work this paper cites.
S. Eilenberg and S. MacLane, General theory of natural equivalences. Transactions of the American Mathematical Society,
1945
Earlier work this paper cites.
P. A. M. Dirac, The Principles of Quantum Mechanics (
1947
Earlier work this paper cites.
D. R. Finkelstein, J. M. Jauch, D. Schiminovich, and D. Speiser, Foundations of quaternion quantum mechanics. Journal of Mathematical Physics
1962
Earlier work this paper cites.
J. Bénabou, Categories avec multiplication. Comptes Rendus des Séances de l’Académie des Sciences Paris
1963
Earlier work this paper cites.
J. A. Robinson, A machine-oriented logic based on the resolution principle. Journal of the ACM
1965
Earlier work this paper cites.
R. Penrose, Applications of negative dimensional tensors, in Combinatorial Mathematics and its Applications, 221–244, Academic Press, 1971
1971
Earlier work this paper cites.
R. Penrose, Techniques of differential topology in relativity, Society for Industrial and Applied Mathematics, 1972
1972
Earlier work this paper cites.
F. W. Lawvere, Metric spaces, generalized logic, and closed categories. Rendiconti del Seminario Matematico e Fisico di Milano
1974
Earlier work this paper cites.
C. Piron, Foundations of Quantum Physics. W. A. Benjamin, 1976
1976
Earlier work this paper cites.
G. M. Kelly and M. L. Laplaza, Coherence for compact closed categories. Journal of Pure and Applied Algebra
1980
Earlier work this paper cites.
D. G. B. J. Dieks, Communication by EPR devices. Physics Letters A
1982
Earlier work this paper cites.
W. Wootters and W. Zurek, A single quantum cannot be cloned. Nature
1982
Earlier work this paper cites.
R. Rosen, Anticipatory Systems: Philosophical, Mathematical and Methodological Foundations. Pergamon Press, 1985
1985
Earlier work this paper cites.
J. Lambek and P. J. Scott, Higher Order Categorical Logic. Cambridge University Press, 1986
1986
Earlier work this paper cites.
J.-Y. Girard, Linear logic. Theoretical Computer Science
1987
Earlier work this paper cites.
R. Brown, Topology: A Geometric Account of General Topology, Homotopy Types, and the Fundamental Groupoid. Halsted Press, 1988
1988
Earlier work this paper cites.
P. Freyd and D. Yetter, Braided compact closed categories with applications to low-dimensional topology. Advances in Mathematics
1989
Earlier work this paper cites.
J. Adámek, H. Herrlich and G. E. Strecker, Abstract and Concrete Categories – The Joy of Cats. John Wiley and Sons, 1990. Freely available from
1990
Earlier work this paper cites.
P. Deligne, Catégories tannakiennes. In: The Grothendieck Festschrift Volume II, Progress in Mathematics
1990
Earlier work this paper cites.
A. Asperti and G. Longo, Categories, types, and Structures. An Introduction to Category theory for the Working Computer Scientist. MIT Press, 1991
1991
Cited alongside, same era.
A. Joyal and R. Street, The geometry of tensor calculus I. Advances in Mathematics
1991
Cited alongside, same era.
R. Sorkin, Spacetime and causal sets, In Relativity and Gravitation: Classical and Quantum, J. D’Olivo (ed), World Scientific, 1991
1991
Cited alongside, same era.
V. G. Turaev, Axioms for topological quantum field theories, in Annales de la faculté des sciences de Toulouse 6
1994
Cited alongside, same era.
J. C. Baez and J. Dolan, Higher-dimensional algebra and topological quantum field theory. Journal of Mathematical Physics
1995
Cited alongside, same era.
L. H. Kauffman, Teleportation topology. Optics and Spectroscopy
2005
Later among the works it cites.
S. Abramsky and B. Coecke, Abstract physical traces. Theory and Application of Categories
2006
Later among the works it cites.
2006
Later among the works it cites.
B. Coecke, De-linearizing linearity: projective quantum axiomatics from strong compact closure. Electronic Notes in Theoretical Computer Science
2007
Later among the works it cites.
A. D. Lauda and H. Pfeiffer, State sum construction of two-dimensional open-closed Topological Quantum Field Theories, Journal of Knot Theory and its Ramifications
2007
Later among the works it cites.
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H. Barnum, C. M. Caves, C. A. Fuchs, R. Jozsa, and B. Schumacher, Noncommuting mixed states cannot be broadcast. Physical Review Letters,
1996
Cited alongside, same era.
A. Joyal, R. Street and D. Verity, Traced monoidal categories, Proceedings of the Cambridge Philosophical Society
1996
Cited alongside, same era.
1997
Cited alongside, same era.
F. W. Lawvere and S. H. Schanuel, Conceptual mathematics. Cambridge University Press, 1997
1997
Cited alongside, same era.
R. A. G. Seely, Linear logic,
1998
Cited alongside, same era.
M. A. Nielsen, Conditions for a class of entanglement transformations. Physical Review Letters
1999
Cited alongside, same era.
F. Borceux and I. Stubbe. Short introduction to enriched categories, In Current Research in Operational Quantum Logic: Algebras, Categories and Languages, B. Coecke, D. J. Moore and A. Wilce (eds), pages 167-194. Fundamental Theories of Physics
2000
Cited alongside, same era.
S. E. Morrison. A diagrammatic category for the representation theory of
2007
Later among the works it cites.
P. Selinger, Dagger compact closed categories and completely positive maps, Electronic Notes in Theoretical Computer Science
2007
Later among the works it cites.
R. Street, Quantum Groups: A Path to Current Algebra, Cambridge University Press, 2007
2007
Later among the works it cites.
S. Abramsky, No-Cloning in categorical quantum mechanics, in Semantic Techniques for Quantum Computation, I. Mackie and S. Gay (eds), Cambridge University Press, 2008
2008
Later among the works it cites.
J. C. Baez, This Week’s Finds in Mathematical Physics, 1993–2008
2008
Later among the works it cites.
2008
Later among the works it cites.
B. Coecke and É. O. Paquette, POVMs and Nairmarks theorem without sums, Electronic Notes in Theoretical Computer Science (to appear), 2008
2008
Later among the works it cites.
B. Coecke and D. Pavlovic, Quantum measurements without sums, In Mathematics of Quantum Computing and Technology, G. Chen, L. Kauffman and S. Lamonaco (eds), pages 567–604. Taylor and Francis, 2008
2008
Later among the works it cites.
B. Coecke, D. Pavlovic, and J. Vicary, A new description of orthogonal bases. Preprint, 2008
2008
Later among the works it cites.
R. Houston, Finite products are biproducts in a compact closed category. Journal of Pure and Applied Algebra
2008
Later among the works it cites.
J. Vicary, A categorical framework for the quantum harmonic oscillator. International Journal of Theoretical Physics (to appear), 2008
2008
Later among the works it cites.
S. Abramsky and N. Tzevelekos, Introduction to categories and categorical logic. In: New Structures for Physics, B. Coecke (ed), Springer Lecture Notes in Physics, 2009
2009
Closest in time.
J. C. Baez and M. Stay, Physics, topology, logic and computation: A Rosetta Stone. In: New Structures for Physics, B. Coecke (ed), Springer Lecture Notes in Physics, 2009
2009
Closest in time.
B. Coecke, B. Edwards and R. W. Spekkens, The group-theoretic origin of non-locality for qubits. Oxford University Computing Laboratory Research Report PRG-RR-09-04, 2009
2009
Closest in time.
2009
Closest in time.
K. Martin and P. Panangaden, Domain theory and general relativity. In: New Structures for Physics, B. Coecke (ed), Springer Lecture Notes in Physics, 2009
2009
Closest in time.
P. Selinger, A survey of graphical languages for monoidal categories. In: New Structures for Physics, B. Coecke (ed), Springer Lecture Notes in Physics, 2009
2009
Closest in time.