Chris Heunen

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All published works
Action Title Year Authors
+ Qurts: Automatic Quantum Uncomputation by Affine Types with Lifetime 2025 K Hirata
Chris Heunen
+ Categories of sets with infinite addition 2025 Pablo Andrés-Martí­nez
Chris Heunen
+ PDF Chat Qurts: Automatic Quantum Uncomputation by Affine Types with Lifetime 2024 Kenji Hirata
Chris Heunen
+ PDF Chat A Brief Review of Quantum Machine Learning for Financial Services 2024 Mina Doosti
Petros Wallden
Conor Brian Hamill
Robert Hankache
Oliver Thomson Brown
Chris Heunen
+ Ordered locales 2024 Chris Heunen
Nesta van der Schaaf
+ PDF Chat Axioms for the category of Hilbert spaces and linear contractions 2024 Chris Heunen
Andre Kornell
Nesta van der Schaaf
+ Dagger categories and the complex numbers: Axioms for the category of finite-dimensional Hilbert spaces and linear contractions 2024 Matthew Di Meglio
Chris Heunen
+ PDF Chat Compositional Reversible Computation 2024 Jacques Carette
Chris Heunen
Robin Kaarsgaard
Amr Sabry
+ PDF Chat Universal Properties of Partial Quantum Maps 2023 Pablo Andrés-Martí­nez
Chris Heunen
Robin Kaarsgaard
+ Sheaf representation of monoidal categories 2023 Rui Soares Barbosa
Chris Heunen
+ Compact Inverse Categories 2023 Robin Cockett
Chris Heunen
+ Duoidally enriched Freyd categories 2023 Chris Heunen
Jesse Sigal
+ The Quantum Effect: A Recipe for QuantumPi 2023 Jacques Carette
Chris Heunen
Robin Kaarsgaard
Amr Sabry
+ PDF Chat Duoidally Enriched Freyd Categories 2023 Chris Heunen
Jesse Sigal
+ Ordered Locales 2023 Chris Heunen
Nesta van der Schaaf
+ Categories of sets with infinite addition 2023 Pablo Andrés-Martí­nez
Chris Heunen
+ With a Few Square Roots, Quantum Computing is as Easy as Π 2023 Jacques Carette
Chris Heunen
Robin Kaarsgaard
Amr Sabry
+ Axioms for the category of Hilbert spaces 2022 Chris Heunen
Andre Kornell
+ PDF Chat Quantum information effects 2022 Chris Heunen
Robin Kaarsgaard
+ PDF Chat Weakly measured while loops: peeking at quantum states 2022 Pablo Andrés-Martí­nez
Chris Heunen
+ Universal Properties of Partial Quantum Maps 2022 Pablo Andrés-MartíÂ-nez
Chris Heunen
Robin Kaarsgaard
+ Axioms for the category of Hilbert spaces and linear contractions 2022 Chris Heunen
Andre Kornell
Nesta van der Schaaf
+ PDF Chat The CBH characterisation theorem beyond algebraic quantum theory 2021 Chris Heunen
Aleks Kissinger
+ Quantum Information Effects 2021 Chris Heunen
Robin Kaarsgaard
+ Proceedings 18th International Conference on Quantum Physics and Logic 2021 Chris Heunen
Miriam Backens
+ Axioms for the category of Hilbert spaces 2021 Chris Heunen
Andre Kornell
+ PDF Chat Bennett and Stinespring, Together at Last 2021 Chris Heunen
Robin Kaarsgaard
+ Proceedings 18th International Conference on Quantum Physics and Logic 2021 Chris Heunen
Miriam Backens
+ Localisable Monads 2021 Carmen Constantin
Nuiok Dicaire
Chris Heunen
+ Quantum Information Effects 2021 Chris Heunen
Robin Kaarsgaard
+ Tensor-restriction categories 2021 Chris Heunen
Jean-Simon Pacaud Lemay
+ Sheaf representation of monoidal categories 2021 Rui Soares Barbosa
Chris Heunen
+ Localisable Monads 2021 Carmen Constantin
Nuiok Dicaire
Chris Heunen
+ A quantum while loop for amplitude amplification 2020 Pablo Andrés-Martí­nez
Chris Heunen
+ Weakly measured while loops: peeking at quantum states 2020 Pablo Andrés-Martí­nez
Chris Heunen
+ PDF Chat Topos Quantum Theory with Short Posets 2020 John Harding
Chris Heunen
+ PDF Chat Ontological models for quantum theory as functors 2020 Alexandru Gheorghiu
Chris Heunen
+ PDF Chat Tensor topology 2020 Pau Enrique Moliner
Chris Heunen
Sean Tull
+ Tensor-restriction categories 2020 Chris Heunen
Jean-Michel Lemay
+ Monoidal characterisation of groupoids and connectors 2019 Marino Gran
Chris Heunen
Sean Tull
+ Monoidal 2-Categories 2019 Chris Heunen
Jamie Vicary
+ Monoids and Comonoids 2019 Chris Heunen
Jamie Vicary
+ Complementarity 2019 Chris Heunen
Jamie Vicary
+ Complete Positivity 2019 Chris Heunen
Jamie Vicary
+ Basics 2019 Chris Heunen
Jamie Vicary
+ Monoidal Categories 2019 Chris Heunen
Jamie Vicary
+ PDF Chat Automated distribution of quantum circuits via hypergraph partitioning 2019 Pablo Andrés-Martí­nez
Chris Heunen
+ PDF Chat Domains of commutative C*-subalgebras 2019 Chris Heunen
Bert Lindenhovius
+ PDF Chat Boolean Subalgebras of Orthoalgebras 2019 John Harding
Chris Heunen
Bert Lindenhovius
Mirko Navara
+ Compact inverse categories 2019 Robin Cockett
Chris Heunen
+ Reversible Effects as Inverse Arrows 2018 Chris Heunen
Robin Kaarsgaard
Martti Karvonen
+ Automated distribution of quantum circuits 2018 Pablo Andrés-Martí­nez
Chris Heunen
+ PDF Chat Frobenius Structures Over Hilbert C*-Modules 2018 Chris Heunen
Manuel L. Reyes
+ Limits in dagger categories 2018 Chris Heunen
Martti Karvonen
+ PDF Chat Space in Monoidal Categories 2018 Pau Enrique Moliner
Chris Heunen
Sean Tull
+ PDF Chat Purity through Factorisation 2018 Oscar Cunningham
Chris Heunen
+ Limits in dagger categories 2018 Chris Heunen
Martti Karvonen
+ PDF Chat Denotational validation of higher-order Bayesian inference 2017 Adam Ścibior
Ohad Kammar
Matthijs Vákár
Sam Staton
Hongseok Yang
Yufei Cai
Klaus Ostermann
Sean Moss
Chris Heunen
Zoubin Ghahramani
+ PDF Chat Can a quantum state over time resemble a quantum state at a single time? 2017 Dominic Horsman
Chris Heunen
Matthew F. Pusey
Jonathan Barrett
Robert W. Spekkens
+ A convenient category for higher-order probability theory 2017 Chris Heunen
Ohad Kammar
Sam Staton
Hongseok Yang
+ PDF Chat A convenient category for higher-order probability theory 2017 Chris Heunen
Ohad Kammar
Sam Staton
Hongseok Yang
+ PDF Chat The Category of Matroids 2017 Chris Heunen
Vaia Patta
+ PDF Chat The Many Classical Faces of Quantum Structures 2017 Chris Heunen
+ PDF Chat Discretization of $C^*$-algebras 2017 Chris Heunen
Manuel L. Reyes
+ Proceedings 13th International Conference on Quantum Physics and Logic 2017 Ross Duncan
Chris Heunen
+ Proceedings 13th International Conference on Quantum Physics and Logic 2017 Ross Duncan
Chris Heunen
+ Semantics for probabilistic programming 2016 Sam Staton
Hongseok Yang
Frank Wood
Chris Heunen
Ohad Kammar
+ Pictures of complete positivity in arbitrary dimension 2016 Bob Coecke
Chris Heunen
+ Can quantum theory be characterized in information-theoretic terms? 2016 Chris Heunen
Aleks Kissinger
+ The CBH characterisation theorem beyond algebraic quantum theory 2016 Chris Heunen
Aleks Kissinger
+ PDF Chat Operational theories and categorical quantum mechanics 2016 Samson Abramsky
Chris Heunen
+ Monads on dagger categories 2016 Chris Heunen
Martti Karvonen
+ PDF Chat Semantics for probabilistic programming: higher-order functions, continuous distributions, and soft constraints 2016 Sam Staton
Hongseok Yang
Chris Heunen
Ohad Kammar
Frank Wood
+ PDF Chat Semantics for probabilistic programming: higher-order functions, continuous distributions, and soft constraints 2016 Sam Staton
Frank Wood
Hongseok Yang
Chris Heunen
Ohad Kammar
+ Monads on dagger categories 2016 Chris Heunen
Martti Karvonen
+ The CBH characterisation theorem beyond algebraic quantum theory 2016 Chris Heunen
Aleks Kissinger
+ Reversible Monadic Computing 2015 Chris Heunen
Martti Karvonen
+ PDF Chat Categories of relations as models of quantum theory 2015 Chris Heunen
Sean Tull
+ Proceedings 12th International Workshop on Quantum Physics and Logic 2015 Chris Heunen
Peter Selinger
Jamie Vicary
+ PDF Chat Proceedings 12th International Workshop on Quantum Physics and Logic 2015 Chris Heunen
Peter Selinger
Jamie Vicary
+ Proceedings of the 12th International Workshop on Quantum Physics and Logic 2015 Chris Heunen
Peter Selinger
Jamie Vicary
+ PDF Chat Axiomatizing complete positivity 2015 Oscar Cunningham
Chris Heunen
+ PDF Chat Domains of Commutative C*-Subalgebras 2015 Chris Heunen
Bert Lindenhovius
+ Dcpos of Commutative C*-subalgebras 2015 Chris Heunen
Bert Lindenhovius
+ PDF Chat Mixed quantum states in higher categories 2014 Chris Heunen
Jamie Vicary
Linde Wester
+ PDF Chat Completely positive projections and biproducts 2014 Chris Heunen
Aleks Kissinger
Peter Selinger
+ PDF Chat Categories of quantum and classical channels 2014 Bob Coecke
Chris Heunen
Aleks Kissinger
+ Extending obstructions to noncommutative functorial spectra 2014 Benno van den Berg
Chris Heunen
+ PDF Chat Categories of Quantum and Classical Channels (extended abstract) 2014 Bob Coecke
Chris Heunen
Aleks Kissinger
+ Extending obstructions to noncommutative functorial spectra 2014 Benno van den Berg
Chris Heunen
+ PDF Chat Characterizations of Categories of Commutative C*-Subalgebras 2014 Chris Heunen
+ PDF Chat Quantum realization of arbitrary joint measurability structures 2014 Ravi Kunjwal
Chris Heunen
T. A. Fritz
+ PDF Chat Quantum theory realizes all joint measurability graphs 2014 Chris Heunen
T. A. Fritz
Manuel L. Reyes
+ Active lattices determine AW*-algebras 2014 Chris Heunen
Manuel L. Reyes
+ Completely positive projections and biproducts 2014 Chris Heunen
Aleks Kissinger
Peter Selinger
+ EXTENDING OBSTRUCTIONS TO 2014 Noncommutative Functorial Spectra
Benno van den Berg
Chris Heunen
+ PDF Chat Piecewise Boolean Algebras and Their Domains 2014 Chris Heunen
+ Extending obstructions to noncommutative functorial spectra 2014 Benno van den Berg
Chris Heunen
+ On discretization of C*-algebras 2014 Chris Heunen
Manuel L. Reyes
+ PDF Chat Matrix multiplication is determined by orthogonality and trace 2013 Chris Heunen
Dominic Horsman
+ Categories of Quantum and Classical Channels 2013 Bob Coecke
Chris Heunen
Aleks Kissinger
+ PDF Chat Diagonalizing matrices over AW*-algebras 2013 Chris Heunen
Manuel L. Reyes
+ PDF Chat Erratum: On the Functor ℓ2 2013 Chris Heunen
+ PDF Chat On the Functor ℓ2 2013 Chris Heunen
+ PDF Chat Compositional Quantum Logic 2013 Bob Coecke
Chris Heunen
Aleks Kissinger
+ Categories of Quantum and Classical Channels 2013 Bob Coecke
Chris Heunen
Aleks Kissinger
+ PDF Chat Erratum to: Noncommutativity as a Colimit 2012 Benno van den Berg
Chris Heunen
+ PDF Chat No-go theorems for functorial localic spectra of noncommutative rings 2012 Benno van den Berg
Chris Heunen
+ PDF Chat Completely positive classical structures and sequentializable quantum protocols 2012 Chris Heunen
Sergio Boixo
+ PDF Chat Pictures of complete positivity in arbitrary dimension 2012 Bob Coecke
Chris Heunen
+ Relative Frobenius algebras are groupoids 2012 Chris Heunen
Iván Contreras
Alberto S. Cattaneo
+ PDF Chat Entangled and Sequential Quantum Protocols with Dephasing 2012 Sergio Boixo
Chris Heunen
+ PDF Chat Proceedings 8th International Workshop on Quantum Physics and Logic 2012 Chris Heunen
Sergio Boixo
+ H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics 2012 Chris Heunen
+ 𝐻*-algebras and nonunital Frobenius algebras: First steps in infinite-dimensional categorical quantum mechanics 2012 Samson Abramsky
Chris Heunen
+ Operational theories and Categorical quantum mechanics 2012 Samson Abramsky
Chris Heunen
+ PDF Chat Complementarity in Categorical Quantum Mechanics 2011 Chris Heunen
+ PDF Chat Bohrification of operator algebras and quantum logic 2011 Chris Heunen
Nicolaas P. Landsman
Bas Spitters
+ PDF Chat Noncommutativity as a Colimit 2011 Benno van den Berg
Chris Heunen
+ PDF Chat THE GELFAND SPECTRUM OF A NONCOMMUTATIVE C*-ALGEBRA: A TOPOS-THEORETIC APPROACH 2011 Chris Heunen
Nicolaas P. Landsman
Bas Spitters
Sander Wolters
+ Categorical aspects of polar decomposition 2010 Chris Heunen
+ H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics 2010 Samson Abramsky
Chris Heunen
+ PDF Chat Quantum Logic in Dagger Kernel Categories 2010 Chris Heunen
Bart Jacobs
+ H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics 2010 Samson Abramsky
Chris Heunen
+ PDF Chat A Topos for Algebraic Quantum Theory 2009 Chris Heunen
Nicolaas P. Landsman
Bas Spitters
+ PDF Chat Intuitionistic Quantum Logic of an n-level System 2009 Martijn Caspers
Chris Heunen
Nicolaas P. Landsman
Bas Spitters
+ PDF Chat Categorical Quantum Models and Logics 2009 Chris Heunen
+ PDF Chat Coalgebraic Components in a Many-Sorted Microcosm 2009 Ichiro Hasuo
Chris Heunen
Bart Jacobs
Ana Sokolova
+ An embedding theorem for Hilbert categories 2009 Chris Heunen
+ Bohrification 2009 Chris Heunen
Nicolaas P. Landsman
Bas Spitters
+ PDF Chat Compactly accessible categories and quantum key distribution 2008 Chris Heunen
+ Quantifiers for quantum logic 2008 Chris Heunen
+ An embedding theorem for Hilbert categories 2008 Chris Heunen
+ Semimodule Enrichment 2008 Chris Heunen
+ PDF Chat The Principle of General Tovariance 2008 Chris Heunen
N.P. Landsman
Bas Spitters
Rui Loja Fernandes
Roger Picken
+ S em im o d u le en rich m en t 2008 Chris Heunen
+ An embedding theorem for Hilbert categories 2008 Chris Heunen
+ Quantifiers for quantum logic 2008 Chris Heunen
+ Arrows, like Monads, are Monoids 2006 Chris Heunen
Bart Jacobs
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Categories for the Working Mathematician 1971 Saunders Mac Lane
30
+ PDF Chat A Survey of Graphical Languages for Monoidal Categories 2010 Peter Selinger
24
+ PDF Chat A categorical semantics of quantum protocols 2004 Samson Abramsky
Bob Coecke
20
+ PDF Chat Categories of quantum and classical channels 2014 Bob Coecke
Chris Heunen
Aleks Kissinger
18
+ PDF Chat Categorical Formulation of Finite-Dimensional Quantum Algebras 2010 Jamie Vicary
17
+ PDF Chat A new description of orthogonal bases 2012 Bob Coecke
Duško Pavlović
Jamie Vicary
16
+ An embedding theorem for Hilbert categories 2008 Chris Heunen
16
+ Coherence for compact closed categories 1980 G. M. Kelly
Miguel L. Laplaza
16
+ PDF Chat Fundamentals of quantum information theory 2002 Michael Keyl
16
+ Frobenius Algebras and 2D Topological Quantum Field Theories 2003 Joachim Kock
15
+ PDF Chat Pictures of complete positivity in arbitrary dimension 2012 Bob Coecke
Chris Heunen
15
+ PDF Chat Interacting quantum observables: categorical algebra and diagrammatics 2011 Bob Coecke
Ross Duncan
14
+ PDF Chat Quantum measurements without sums 2007 Bob Coecke
Duško Pavlović
14
+ Quantum and Classical Structures in Nondeterminstic Computation 2009 Duško Pavlović
14
+ An embedding theorem for Hilbert categories 2009 Chris Heunen
13
+ PDF Chat Quantum Logic in Dagger Kernel Categories 2010 Chris Heunen
Bart Jacobs
13
+ Relative Frobenius algebras are groupoids 2012 Chris Heunen
Iván Contreras
Alberto S. Cattaneo
13
+ Higher-Dimensional Algebra II. 2-Hilbert Spaces 1997 John C. Baez
13
+ PDF Chat Quantum measurements without sums 2007 Bob Coecke
Duško Pavlović
12
+ PDF Chat Completeness of †-categories and the complex numbers 2011 Jamie Vicary
12
+ PDF Chat A Topos for Algebraic Quantum Theory 2009 Chris Heunen
Nicolaas P. Landsman
Bas Spitters
12
+ Completely positive linear maps on complex matrices 1975 Man-Duen Choi
12
+ PDF Chat Positive functions on 𝐶*-algebras 1955 W. Forrest Stinespring
12
+ Handbook of Categorical Algebra 1994 Francis Borceux
12
+ Braided Tensor Categories 1993 André Joyal
Ross Street
12
+ PDF Chat Completely positive projections and biproducts 2014 Chris Heunen
Aleks Kissinger
Peter Selinger
12
+ Basic concepts of enriched category theory 1982 G. M. Kelly
11
+ PDF Chat Environment and Classical Channels in Categorical Quantum Mechanics 2010 Bob Coecke
Simon Perdrix
11
+ Sheaves in Geometry and Logic 1994 Saunders Mac Lane
Ieke Moerdijk
11
+ PDF Chat Noncommutativity as a Colimit 2011 Benno van den Berg
Chris Heunen
10
+ Traced monoidal categories 1996 André Joyal
Ross Street
Dominic Verity
10
+ PDF Chat Generalized No-Broadcasting Theorem 2007 Howard Barnum
Jonathan Barrett
Matthew Leifer
Alexander Wilce
10
+ PDF Chat Causal Categories: Relativistically Interacting Processes 2012 Bob Coecke
Raymond Lal
10
+ H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics 2012 Chris Heunen
10
+ PDF Chat No-Cloning in Categorical Quantum Mechanics 2009 Samson Abramsky
10
+ PDF Chat Foundations of quantum physics 2009 C. Piron
10
+ PDF Chat Categorical Quantum Models and Logics 2009 Chris Heunen
10
+ Metric spaces, generalized logic, and closed categories 1973 F. William Lawvere
9
+ PDF Chat Abstract Scalars, Loops, and Free Traced and Strongly Compact Closed Categories 2005 Samson Abramsky
9
+ Cartesian bicategories I 1987 A. Carboni
R. F. C. Walters
9
+ PDF Chat Completely positive classical structures and sequentializable quantum protocols 2012 Chris Heunen
Sergio Boixo
9
+ The geometry of tensor calculus, I 1991 André Joyal
Ross Street
9
+ PDF Chat Noncommuting Mixed States Cannot Be Broadcast 1996 Howard Barnum
Carlton M. Caves
Christopher A. Fuchs
Richard Jozsa
Benjamin Schumacher
9
+ PDF Chat Quantum channels as a categorical completion 2019 Mathieu Huot
Sam Staton
9
+ De-linearizing Linearity: Projective Quantum Axiomatics From Strong Compact Closure 2007 Bob Coecke
8
+ PDF Chat Kochen–Specker Theorem for von Neumann Algebras 2005 Andreas Döring
8
+ PDF Chat Note on compact closed categories 1977 Brian J. Day
8
+ Active lattices determine AW*-algebras 2014 Chris Heunen
Manuel L. Reyes
8
+ PDF Chat Quantum Quandaries: A Category-Theoretic Perspective 2006 John C. Baez
8
+ PDF Chat Categorical Quantum Mechanics 2009 Samson Abramsky
Bob Coecke
8