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Two fundamental contributions to categorical quantum mechanics are presented.
Naive set theory
Paul R. Halmos · 1960
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Von Neumann algebras
Jacques Dixmier · 1969
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Many-variable functorial calculus I
G. Max Kelly · 1972
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Masamichi Takesaki · 1979
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Coherence for compact closed categories
G. Max Kelly and Miguel L. Laplaza · 1980
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The geometry of tensor calculus I
André Joyal and Ross Street · 1991
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Braided tensor categories
André Joyal and Ross Street · 1993
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Nuclear and trace ideals in tensored *-categories
Samson Abramsky, Richard Blute, and Prakhash Panangaden · 1999
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A course in operator theory
John B. Conway · 2000
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Statistical structure of quantum theory
Alexander S. Holevo · 2001
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Completely bounded maps and operators algebras
Vern Paulsen · 2002
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A categorical semantics of quantum protocols
Samson Abramsky and Bob Coecke · 2004
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Towards a quantum programming language
Peter Selinger · 2004
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Operator algebras: theory of C*-algebras and von Neumann algebras
Bruce Blackadar · 2006
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Complete positivity without positivity and without compactness
Bob Coecke · 2007
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De-linearizing linearity: Projective quantum axiomatics from strong compact closure
Bob Coecke · 2007
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An embedding theorem for Hilbert categories
Chris Heunen · 2009
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Classical and quantum structuralism
Bob Coecke, Éric O. Paquette, and Duško Pavlović · 2010
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Environment and classical channels in categorical quantum mechanics
Bob Coecke and Simon Perdrix · 2010
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Quantum logic in dagger kernel categories
Chris Heunen and Bart Jacobs · 2010
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A survey of graphical languages for monoidal categories
Peter Selinger · 2010
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Pictures of complete positivity in arbitrary dimension
Bob Coecke and Chris Heunen · 2011
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Bob Coecke and Duško Pavlović · 2007
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Dagger compact closed categories and completely positive maps
Peter Selinger · 2007
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Axiomatic description of mixed states from selinger’s cpm-construction
Bob Coecke · 2008
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Compactly accessible categories and quantum key distribution
Chris Heunen · 2008
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Bob Coecke and Éric O. Paquette · 2011
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Completely positive classical structures and sequentializable quantum protocols
Chris Heunen and Sergio Boixo · 2011
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H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics
Samson Abramsky and Chris Heunen · 2012
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