Samson Abramsky & Bob Coecke (2004):
A categorical semantics of quantum protocols.
In: Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004,
pp. 415–425,
doi:10.1109/LICS.2004.1319636.
Daniela Ashoush & Bob Coecke (2016):
Dual Density Operators and Natural Language Meaning.
EPTCS 221,
pp. 1–10,
doi:10.4204/EPTCS.221.1.
Thorsten Beckmann & Georg Oberdieck (2020):
Notes on equivariant categories.
arXiv preprint arXiv:2006.13626.
Nicolas Bourbaki (2003):
Algebra II.
Springer-Verlag Berlin Heidelberg,
doi:10.1007/978-3-642-61698-3.
Bob Coecke (2016):
Terminality implies no-signalling... and much more than that.
New Generation Computing 34(1-2),
pp. 69–85,
doi:10.1007/s00354-016-0201-6.
Bob Coecke & Ross Duncan (2011):
Interacting quantum observables: categorical algebra and diagrammatics.
New Journal of Physics 13(043016),
doi:10.1088/1367-2630/13/4/043016.
Bob Coecke, Chris Heunen & Aleks Kissinger (2016):
Categories of quantum and classical channels.
Quantum Inf. Process. 15,
pp. 51795209,
doi:10.1007/s11128-014-0837-4.
Bob Coecke & Aleks Kissinger (2017):
Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning.
Cambridge University Press,
doi:10.1017/9781316219317.
Bob Coecke & Konstantinos Meichanetzidis (2020):
Meaning Updating of Density Matrices.
arXiv preprint arXiv:2001.00862v1.
Bob Coecke, Dusko Pavlovic & Jamie Vicary (2013):
A new description of orthogonal bases.
Mathematical Structures in Computer Science 23(3),
pp. 555–567,
doi:10.1017/S0960129512000047.
Bob Coecke & Simon Perdrix (2012):
Environment and classical channels in categorical quantum mechanics.
Logical Methods in Computer Science 8,
doi:10.2168/LMCS-8(4:14)2012.
Bob Coecke, John Selby & Sean Tull (2018):
Two Roads to Classicality.
EPTCS 266,
pp. 104118,
doi:10.4204/eptcs.266.7.
Oscar Cunningham & Chris Heunen (2015):
Axiomatizing complete positivity.
EPTCS 195,
pp. 148157,
doi:10.4204/eptcs.195.11.
Alexey Elagin (2015):
On equivariant triangulated categories.
arXiv preprint arXiv:1403.7027.
William Ellison (2013):
Waring's problem for fields.
arXiv preprint arXiv:1303.4818.
Nora Ganter & Mikhail Kapranov (2014):
Symmetric and Exterior Powers of Categories.
Transformation Groups 19,
pp. 57–103,
doi:10.1007/s00031-014-9255-z.
Stefano Gogioso (2017):
Fantastic Quantum Theories and Where to Find Them.
arXiv Preprint arXiv:1703.10576.
Stefano Gogioso & Aleks Kissinger (2017):
Fully graphical treatment of the quantum algorithm for the Hidden Subgroup Problem.
arXiv preprint arXiv:1701.08669.
Stefano Gogioso & Carlo Maria Scandolo (2019):
Density Hypercubes, Higher Order Interference and Hyper-decoherence: A Categorical Approach.
In: Quantum Interaction.
Springer International Publishing,
pp. 141–160,
doi:10.1007/978-3-030-35895-210.
Stefano Gogioso & William Zeng (2015):
Fourier transforms from strongly complementary observables.
arXiv Preprint arXiv:1501.04995.
James Hefford & Stefano Gogioso (2020):
Hyper-decoherence in Density Hypercubes.
arXiv preprint arXiv:2003.08318.
Chris Heunen & Jamie Vicary (2019):
Categories for Quantum Theory: An Introduction.
Oxford University Press,
doi:10.1093/oso/9780198739623.001.0001.
Nathan Jacobson (1989):
Basic Algebra II: Second Edition.
W. H. Freeman and Company.
Stephen Lack (2004):
Composing PROPs.
Theory and Applications of Categories 13(9),
pp. 147–163.
Ciarán M. Lee & John H. Selby (2017):
Higher-Order Interference in Extensions of Quantum Theory.
Found Phys 47,
pp. 89–112,
doi:10.1007/s10701-016-0045-4.
Ciarán M. Lee & John H. Selby (2018):
A no-go theorem for theories that decohere to quantum mechanics.
Proc. R. Soc. A 474(20170732),
doi:10.1098/rspa.2017.0732.
Robin Piedeleu, Dimitri Kartsaklis, Bob Coecke & Mehrnoosh Sadrzadeh (2015):
Open System Categorical Quantum Semantics in Natural Language Processing.
arXiv preprint arXiv:1502.00831.
Joseph J. Rotman (2002):
Advanced Modern Algebra.
Prentice Hall.
John H. Selby & Ciarán M. Lee (2020):
Compositional resource theories of coherence.
Quantum 4,
pp. 319,
doi:10.22331/q-2020-09-11-319.
Peter Selinger (2007):
Dagger Compact Closed Categories and Completely Positive Maps.
Electronic Notes in Theoretical Computer Science 170,
pp. 139–163,
doi:10.1016/j.entcs.2006.12.018.
Peter Selinger (2008):
Idempotents in Dagger Categories: (Extended Abstract).
Electronic Notes in Theoretical Computer Science 210,
pp. 107–122,
doi:10.1016/j.entcs.2008.04.021.
Evgeny Shinder (2018):
Group actions on categories and Elagins theorem revisited.
European Journal of Mathematics 4,
pp. 413–422,
doi:10.1007/s40879-017-0150-8.
Carl Siegel (1921):
Darstellung total positiver Zahlen durch Quadrate.
Math Z 11,
pp. 246–275,
doi:10.1007/BF01203627.
Jamie Vicary (2013):
Topological Structure of Quantum Algorithms.
In: 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science,
pp. 93–102,
doi:10.1109/LICS.2013.14.
Maaike Zwart & Bob Coecke (2018):
Double Dilation = Double Mixing.
EPTCS 266,
pp. 133–146,
doi:10.4204/EPTCS.266.9.
Karol Życzkowski (2008):
Quartic quantum theory: an extension of the standard quantum mechanics.
J. Phys. A: Math. Theor. 41(355302),
doi:10.1088/1751-8113/41/35/355302.