@article(backensZXcalculusCompleteStabilizer2014,
 author       = {Miriam Backens},
 year         = {2014},
 title        = {The {{ZX-calculus}} Is Complete for Stabilizer Quantum Mechanics},
 journal      = {New Journal of Physics},
 volume       = {16},
 number       = {9},
 pages        = {093021},
 doi          = {10.1088/1367-2630/16/9/093021},
)
@inproceedings(backensMakingStabilizerZXcalculus2015,
 author       = {Miriam Backens},
 year         = {2015},
 title        = {Making the Stabilizer {{ZX-calculus}} Complete for Scalars},
 editor       = {Chris Heunen and Peter Selinger and Jamie Vicary},
 booktitle    = {Proceedings of the 12th International Workshop on Quantum Physics and Logic},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 publisher    = {{Open Publishing Association}},
 pages        = {17--32},
 doi          = {10.4204/EPTCS.195.2},
)
@inproceedings(backensZHCompleteGraphical2019,
 author       = {Miriam Backens and Aleks Kissinger},
 year         = {2019},
 title        = {{{ZH}}: {{A Complete Graphical Calculus}} for {{Quantum Computations Involving Classical Non-linearity}}},
 editor       = {Peter Selinger and Giulio Chiribella},
 booktitle    = {Proceedings of the 15th International Conference on Quantum Physics and Logic},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {287},
 publisher    = {{Open Publishing Association}},
 address      = {{Halifax, Canada}},
 pages        = {23--42},
 doi          = {10.4204/EPTCS.287.2},
)
@article(backensThereBackAgain2021,
 author       = {Miriam Backens and {Miller-Bakewell}, Hector and Giovanni de Felice and Leo Lobski and John van de Wetering},
 year         = {2021},
 title        = {There and Back Again: {{A}} Circuit Extraction Tale},
 journal      = {Quantum},
 volume       = {5},
 pages        = {421},
 doi          = {10.22331/q-2021-03-25-421},
)
@inproceedings(backensSimplifiedStabilizerZXcalculus2017,
 author       = {Miriam Backens and Simon Perdrix and Quanlong Wang},
 year         = {2017},
 title        = {A {{Simplified Stabilizer ZX-calculus}}},
 editor       = {Ross Duncan and Chris Heunen},
 booktitle    = {Proceedings 13th International Conference on Quantum Physics and Logic},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {236},
 publisher    = {{Open Publishing Association}},
 address      = {{Glasgow, Scotland}},
 pages        = {1--20},
 doi          = {10.4204/EPTCS.236.1},
)
@article(backensMinimalStabilizerZXcalculus2020,
 author       = {Miriam Backens and Simon Perdrix and Quanlong Wang},
 year         = {2020},
 title        = {Towards a {{Minimal Stabilizer ZX-calculus}}},
 journal      = {Logical Methods in Computer Science},
 volume       = {Volume 16, Issue 4},
 doi          = {10.23638/LMCS-16(4:19)2020},
)
@inproceedings(debeaudrapFastEffectiveTechniques2020,
 author       = {Niel de Beaudrap and Xiaoning Bian and Quanlong Wang},
 year         = {2020},
 title        = {Fast and Effective Techniques for T-Count Reduction via Spider Nest Identities},
 editor       = {Steven T. Flammia},
 booktitle    = {15th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020)},
 series       = {Leibniz International Proceedings in Informatics (LIPIcs)},
 volume       = {158},
 publisher    = {Schloss Dagstuhl–Leibniz-Zentrum für Informatik},
 address      = {Dagstuhl, Germany},
 pages        = {11:1–11:23},
 doi          = {10.4230/LIPIcs.TQC.2020.11},
)
@article(bennettQuantumCryptographyPublic2014,
 author       = {Charles H. Bennett and Gilles Brassard},
 year         = {2014},
 title        = {Quantum Cryptography: {{Public}} Key Distribution and Coin Tossing},
 journal      = {Theoretical Computer Science},
 volume       = {560},
 pages        = {7--11},
 doi          = {10.1016/j.tcs.2014.05.025},
)
@article(bennettTeleportingUnknownQuantum1993,
 author       = {Charles H. Bennett and Gilles Brassard and Claude Cr{\'e}peau and Richard Jozsa and Asher Peres and William K. Wootters},
 year         = {1993},
 title        = {Teleporting an Unknown Quantum State via Dual Classical and {{Einstein-Podolsky-Rosen}} Channels},
 journal      = {Physical Review Letters},
 volume       = {70},
 number       = {13},
 pages        = {1895--1899},
 doi          = {10.1103/PhysRevLett.70.1895},
)
@article(bennettCommunicationOneTwoparticle1992,
 author       = {Charles H. Bennett and Stephen J. Wiesner},
 year         = {1992},
 title        = {Communication via One- and Two-Particle Operators on {{Einstein-Podolsky-Rosen}} States},
 journal      = {Physical Review Letters},
 volume       = {69},
 number       = {20},
 pages        = {2881--2884},
 doi          = {10.1103/PhysRevLett.69.2881},
 url          = {https://courses.engr.illinois.edu/phys513/sp2019/reading/week9/PhysRevLett.69.2881.pdf},
)
@article(blokQuantumInformationScrambling2021,
 author       = {M. S. Blok and V. V. Ramasesh and T. Schuster and K. O'Brien and J. M. Kreikebaum and D. Dahlen and A. Morvan and B. Yoshida and N. Y. Yao and I. Siddiqi},
 year         = {2021},
 title        = {Quantum {{Information Scrambling}} on a {{Superconducting Qutrit Processor}}},
 journal      = {Physical Review X},
 volume       = {11},
 number       = {2},
 pages        = {021010},
 doi          = {10.1103/PhysRevX.11.021010},
)
@article(bocharovFactoringQutritsShor2017,
 author       = {Alex Bocharov and Martin Roetteler and Krysta M. Svore},
 year         = {2017},
 title        = {Factoring with Qutrits: {{Shor}}'s Algorithm on Ternary and Metaplectic Quantum Architectures},
 journal      = {Physical Review A},
 volume       = {96},
 number       = {1},
 pages        = {012306},
 doi          = {10.1103/PhysRevA.96.012306},
 eprint       = {1605.02756},
)
@inproceedings(boothCompleteZXcalculiStabiliser2022,
 author       = {Robert I. Booth and Titouan Carette},
 year         = {2022},
 title        = {Complete {{ZX-Calculi}} for the {{Stabiliser Fragment}} in {{Odd Prime Dimensions}}},
 editor       = {Stefan Szeider and Robert Ganian and Alexandra Silva},
 booktitle    = {47th {{International Symposium}} on {{Mathematical Foundations}} of {{Computer Science}} ({{MFCS}} 2022)},
 series       = {Leibniz {{International Proceedings}} in {{Informatics}} ({{LIPIcs}})},
 volume       = {241},
 publisher    = {{Schloss Dagstuhl \textendash{} Leibniz-Zentrum f\"ur Informatik}},
 address      = {{Dagstuhl, Germany}},
 pages        = {24:1--24:15},
 doi          = {10.4230/LIPIcs.MFCS.2022.24},
)
@misc(boothCompleteZXcalculiStabiliser2022v3,
 author       = {Robert I. Booth and Titouan Carette},
 year         = {2023},
 title        = {Complete {{ZX-calculi}} for the Stabiliser Fragment in Odd Prime Dimensions},
 eprint       = {2204.12531v3},
)
@article(campbellEnhancedFaultTolerantQuantum2014,
 author       = {Earl T. Campbell},
 year         = {2014},
 title        = {Enhanced Fault-Tolerant Quantum Computing in $d$-Level Systems},
 journal      = {Physical Review Letters},
 volume       = {113},
 number       = {23},
 pages        = {230501},
 doi          = {10.1103/PhysRevLett.113.230501},
 eprint       = {1406.3055},
)
@misc(caretteWhenOnlyTopology2021,
 author       = {Titouan Carette},
 year         = {2021},
 title        = {When {{Only Topology Matters}}},
 eprint       = {2102.03178},
)
@phdthesis(caretteWieldingZXcalculusFlexsymmetry2021,
 author       = {Titouan Carette},
 year         = {2021},
 title        = {Wielding the {{ZX-calculus}}, Flexsymmetry, Mixed States, and Scalable Notations},
 school       = {Loria, Universit\'e de Lorraine},
 url          = {https://hal.archives-ouvertes.fr/tel-03468027},
)
@article(chiProgrammableQuditbasedQuantum2022,
 author       = {Yulin Chi and Jieshan Huang and Zhanchuan Zhang and Jun Mao and Zinan Zhou and Xiaojiong Chen and Chonghao Zhai and Jueming Bao and Tianxiang Dai and Huihong Yuan and Ming Zhang and Daoxin Dai and Bo Tang and Yan Yang and Zhihua Li and Yunhong Ding and Oxenl{\o}we, Leif K. and Mark G. Thompson and Jeremy L. O'Brien and Yan Li and Qihuang Gong and Jianwei Wang},
 year         = {2022},
 title        = {A Programmable Qudit-Based Quantum Processor},
 journal      = {Nature Communications},
 volume       = {13},
 number       = {1},
 pages        = {1166},
 doi          = {10.1038/s41467-022-28767-x},
)
@misc(codsiClassicallySimulatingQuantum2023,
 author       = {Julien Codsi and John van de Wetering},
 year         = {2023},
 title        = {Classically Simulating Quantum Supremacy IQP Circuits through a Random Graph Approach},
 eprint       = {2212.08609},
)
@misc(coeckeFoundationsNearTermQuantum2020,
 author       = {Bob Coecke and {de Felice}, Giovanni and Konstantinos Meichanetzidis and Alexis Toumi},
 year         = {2020},
 title        = {Foundations for {{Near-Term Quantum Natural Language Processing}}},
 eprint       = {2012.03755},
)
@inproceedings(coeckeInteractingQuantumObservables2008,
 author       = {Bob Coecke and Ross Duncan},
 year         = {2008},
 title        = {Interacting {{Quantum Observables}}},
 editor       = {Luca Aceto and Damg{\r a}rd, Ivan and Leslie Ann Goldberg and Magn{\'u}s M. Halld{\'o}rsson and Anna Ing{\'o}lfsd{\'o}ttir and Igor Walukiewicz},
 booktitle    = {Automata, {{Languages}} and {{Programming}}},
 series       = {Lecture {{Notes}} in {{Computer Science}}},
 publisher    = {{Springer}},
 address      = {{Berlin, Heidelberg}},
 pages        = {298--310},
 doi          = {10.1007/978-3-540-70583-3\_25},
 url          = {http://personal.strath.ac.uk/ross.duncan/papers/iqo-icalp.pdf},
)
@article(coeckeInteractingQuantumObservables2011,
 author       = {Bob Coecke and Ross Duncan},
 year         = {2011},
 title        = {Interacting Quantum Observables: Categorical Algebra and Diagrammatics},
 journal      = {New Journal of Physics},
 volume       = {13},
 number       = {4},
 pages        = {043016},
 doi          = {10.1088/1367-2630/13/4/043016},
)
@book(coeckePicturingQuantumProcesses2017,
 author       = {Bob Coecke and Aleks Kissinger},
 year         = {2017},
 title        = {Picturing Quantum Processes},
 publisher    = {{Cambridge University Press}},
 doi          = {10.1017/9781316219317},
)
@misc(comfortAlgebraStabilizerCodes2023,
 author       = {Cole Comfort},
 year         = {2023},
 title        = {The Algebra for Stabilizer Codes},
 eprint       = {2304.10584},
)
@article(cozzolinoHighDimensionalQuantumCommunication2019,
 author       = {Daniele Cozzolino and Da Lio, Beatrice and Davide Bacco and Oxenl{\o}we, Leif Katsuo},
 year         = {2019},
 title        = {High-{{Dimensional Quantum Communication}}: {{Benefits}}, {{Progress}}, and {{Future Challenges}}},
 journal      = {Advanced Quantum Technologies},
 volume       = {2},
 number       = {12},
 pages        = {1900038},
 doi          = {10.1002/qute.201900038},
)
@article(cuiDiagonalGatesClifford2017,
 author       = {Shawn X. Cui and Daniel Gottesman and Anirudh Krishna},
 year         = {2017},
 title        = {Diagonal Gates in the {{Clifford}} Hierarchy},
 journal      = {Physical Review A},
 volume       = {95},
 number       = {1},
 pages        = {012329},
 doi          = {10.1103/PhysRevA.95.012329},
 eprint       = {1608.06596},
)
@inproceedings(debeaudrapWelltemperedZXZH2021,
 author       = {{de Beaudrap}, Niel},
 year         = {2021},
 title        = {Well-Tempered {{ZX}} and {{ZH}} Calculi},
 editor       = {Beno{\^i}t Valiron and Shane Mansfield and Pablo Arrighi and Prakash Panangaden},
 booktitle    = {Proceedings 17th International Conference on Quantum Physics and Logic},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {340},
 publisher    = {{Open Publishing Association}},
 address      = {{Paris, France}},
 pages        = {13--45},
 doi          = {10.4204/EPTCS.340.2},
)
@misc(debeaudrapSimpleZXZH2023,
 author       = {{de Beaudrap}, Niel and Richard D. P. East},
 year         = {2023},
 title        = {Simple {{ZX}} and {{ZH}} Calculi for Arbitrary Finite Dimensions, via Discrete Integrals},
 eprint       = {2304.03310},
)
@article(debeaudrapZXCalculusLanguage2020,
 author       = {{de Beaudrap}, Niel and Dominic Horsman},
 year         = {2020},
 title        = {The {{ZX}} Calculus Is a Language for Surface Code Lattice Surgery},
 journal      = {Quantum},
 volume       = {4},
 pages        = {218},
 doi          = {10.22331/q-2020-01-09-218},
)
@misc(defeliceLightmatterInteractionZXW2023,
 author       = {{de Felice}, Giovanni and Razin A. Shaikh and Boldizs{\'a}r Po{\'o}r and Lia Yeh and Quanlong Wang and Bob Coecke},
 year         = {2023},
 title        = {Light-Matter Interaction in the {{ZXW}} Calculus},
 eprint       = {2306.02114},
)
@article(desilvaEfficientQuantumGate2021,
 author       = {{de Silva}, Nadish},
 year         = {2021},
 title        = {Efficient Quantum Gate Teleportation in Higher Dimensions},
 journal      = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
 volume       = {477},
 number       = {2251},
 pages        = {20200865},
 doi          = {10.1098/rspa.2020.0865},
 eprint       = {2011.00127},
)
@article(dehaeneCliffordGroupStabilizer2003,
 author       = {Jeroen Dehaene and De Moor, Bart},
 year         = {2003},
 title        = {Clifford Group, Stabilizer States, and Linear and Quadratic Operations over {{GF}}(2)},
 journal      = {Physical Review A},
 volume       = {68},
 number       = {4},
 pages        = {042318},
 doi          = {10.1103/PhysRevA.68.042318},
 eprint       = {quant-ph/0304125},
)
@article(duncanGraphtheoreticSimplificationQuantum2020,
 author       = {Ross Duncan and Aleks Kissinger and Simon Perdrix and John van de Wetering},
 year         = {2020},
 title        = {Graph-Theoretic {{Simplification}} of {{Quantum Circuits}} with the {{ZX-calculus}}},
 journal      = {Quantum},
 volume       = {4},
 pages        = {279},
 doi          = {10.22331/q-2020-06-04-279},
)
@inproceedings(duncanVerifyingSteaneCode2014,
 author       = {Ross Duncan and Maxime Lucas},
 year         = {2014},
 title        = {Verifying the {{Steane}} Code with {{Quantomatic}}},
 editor       = {Bob Coecke and Matty Hoban},
 booktitle    = {Proceedings of the 10th International Workshop on Quantum Physics and Logic},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {171},
 publisher    = {{Open Publishing Association}},
 address      = {{Castelldefels (Barcelona), Spain}},
 pages        = {33--49},
 doi          = {10.4204/EPTCS.171.4},
)
@inproceedings(duncanGraphStatesNecessity2009,
 author       = {Ross Duncan and Simon Perdrix},
 year         = {2009},
 title        = {Graph {{States}} and the {{Necessity}} of {{Euler Decomposition}}},
 editor       = {{Ambos-Spies}, Klaus and Benedikt L{\"o}we and Wolfgang Merkle},
 booktitle    = {Mathematical {{Theory}} and {{Computational Practice}}},
 series       = {Lecture {{Notes}} in {{Computer Science}}},
 publisher    = {{Springer}},
 address      = {{Berlin, Heidelberg}},
 pages        = {167--177},
 doi          = {10.1007/978-3-642-03073-4\_18},
)
@inproceedings(duncanRewritingMeasurementBasedQuantum2010,
 author       = {Ross Duncan and Simon Perdrix},
 year         = {2010},
 title        = {Rewriting {{Measurement-Based Quantum Computations}} with {{Generalised Flow}}},
 editor       = {Samson Abramsky and Cyril Gavoille and Claude Kirchner and {Meyer auf der Heide}, Friedhelm and Paul G. Spirakis},
 booktitle    = {Automata, {{Languages}} and {{Programming}}},
 series       = {Lecture {{Notes}} in {{Computer Science}}},
 publisher    = {{Springer}},
 address      = {{Berlin, Heidelberg}},
 pages        = {285--296},
 doi          = {10.1007/978-3-642-14162-1\_24},
)
@inproceedings(garvieVerifyingSmallestInteresting2018,
 author       = {Liam Garvie and Ross Duncan},
 year         = {2018},
 title        = {Verifying the Smallest Interesting Colour Code with Quantomatic},
 editor       = {Bob Coecke and Aleks Kissinger},
 booktitle    = {Proceedings 14th International Conference on Quantum Physics and Logic},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {266},
 publisher    = {{Open Publishing Association}},
 address      = {{Nijmegen, The Netherlands}},
 pages        = {147--163},
 doi          = {10.4204/EPTCS.266.10},
)
@inproceedings(gokhaleAsymptoticImprovementsQuantum2019,
 author       = {Pranav Gokhale and Jonathan M. Baker and Casey Duckering and Natalie C. Brown and Kenneth R. Brown and Frederic T. Chong},
 year         = {2019},
 title        = {Asymptotic Improvements to Quantum Circuits via Qutrits},
 booktitle    = {Proceedings of the 46th {{International Symposium}} on {{Computer Architecture}}},
 series       = {{{ISCA}} '19},
 publisher    = {{Association for Computing Machinery}},
 address      = {{New York, NY, USA}},
 pages        = {554--566},
 doi          = {10.1145/3307650.3322253},
)
@misc(gongEquivalenceLocalComplementation2017,
 author       = {Xiaoyan Gong and Quanlong Wang},
 year         = {2017},
 title        = {Equivalence of {{Local Complementation}} and {{Euler Decomposition}} in the {{Qutrit ZX-calculus}}},
 eprint       = {1704.05955},
)
@article(gossHighfidelityQutritEntangling2022,
 author       = {Noah Goss and Alexis Morvan and Brian Marinelli and Bradley K. Mitchell and Long B. Nguyen and Ravi K. Naik and Larry Chen and Christian J{\"u}nger and John Mark Kreikebaum and David I. Santiago and Joel J. Wallman and Irfan Siddiqi},
 year         = {2022},
 title        = {High-Fidelity Qutrit Entangling Gates for Superconducting Circuits},
 journal      = {Nature Communications},
 volume       = {13},
 number       = {1},
 pages        = {7481},
 doi          = {10.1038/s41467-022-34851-z},
)
@misc(gottesmanHeisenbergRepresentationQuantum1998,
 author       = {Daniel Gottesman},
 year         = {1998},
 title        = {The {{Heisenberg Representation}} of {{Quantum Computers}}},
 eprint       = {quant-ph/9807006},
)
@inproceedings(gottesmanFaultTolerantQuantumComputation1999,
 author       = {Daniel Gottesman},
 year         = {1999},
 title        = {Fault-{{Tolerant Quantum Computation}} with {{Higher-Dimensional Systems}}},
 editor       = {Colin P. Williams},
 booktitle    = {Quantum {{Computing}} and {{Quantum Communications}}},
 series       = {Lecture {{Notes}} in {{Computer Science}}},
 publisher    = {{Springer}},
 address      = {{Berlin, Heidelberg}},
 pages        = {302--313},
 doi          = {10.1007/3-540-49208-9\_27},
 eprint       = {quant-ph/9802007},
)
@book(heunenCategoriesQuantumTheory2019,
 author       = {Chris Heunen and Jamie Vicary},
 year         = {2019},
 title        = {Categories for {{Quantum Theory}}: {{An Introduction}}},
 publisher    = {{Oxford University Press}},
 doi          = {10.1093/oso/9780198739623.001.0001},
)
@misc(hillRealizationArbitraryDoublycontrolled2021,
 author       = {Alexander D. Hill and Mark J. Hodson and Nicolas Didier and Matthew J. Reagor},
 year         = {2021},
 title        = {Realization of Arbitrary Doubly-Controlled Quantum Phase Gates},
 eprint       = {2108.01652},
)
@article(hrmoNativeQuditEntanglement2023,
 author       = {Pavel Hrmo and Benjamin Wilhelm and Lukas Gerster and {van Mourik}, Martin W. and Marcus Huber and Rainer Blatt and Philipp Schindler and Thomas Monz and Martin Ringbauer},
 year         = {2023},
 title        = {Native Qudit Entanglement in a Trapped Ion Quantum Processor},
 journal      = {Nature Communications},
 volume       = {14},
 number       = {1},
 pages        = {2242},
 doi          = {10.1038/s41467-023-37375-2},
)
@inproceedings(jeandelZXCalculusCyclotomicSupplementarity2017,
 author       = {Emmanuel Jeandel and Simon Perdrix and Renaud Vilmart and Quanlong Wang},
 year         = {2017},
 title        = {{{ZX-Calculus}}: {{Cyclotomic Supplementarity}} and {{Incompleteness}} for {{Clifford}}+{{T Quantum Mechanics}}},
 editor       = {Kim G. Larsen and Hans L. Bodlaender and Jean-Francois Raskin},
 booktitle    = {42nd {{International Symposium}} on {{Mathematical Foundations}} of {{Computer Science}} ({{MFCS}} 2017)},
 series       = {Leibniz {{International Proceedings}} in {{Informatics}} ({{LIPIcs}})},
 volume       = {83},
 publisher    = {{Schloss Dagstuhl\textendash Leibniz-Zentrum fuer Informatik}},
 address      = {{Dagstuhl, Germany}},
 pages        = {11:1--11:13},
 doi          = {10.4230/LIPIcs.MFCS.2017.11},
)
@misc(khesinGraphicalQuantumCliffordencoder2023,
 author       = {Andrey Boris Khesin and Jonathan Z. Lu and Peter W. Shor},
 year         = {2023},
 title        = {Graphical Quantum {{Clifford-encoder}} Compilers from the {{ZX}} Calculus},
 eprint       = {2301.02356},
)
@misc(kissingerPhasefreeZXDiagrams2022,
 author       = {Aleks Kissinger},
 year         = {2022},
 title        = {Phase-free ZX diagrams are CSS codes (...or how to graphically grok the surface code)},
 eprint       = {2204.14038},
)
@inproceedings(kissingerPyZXLargeScale2020,
 author       = {Aleks Kissinger and {van de Wetering}, John},
 year         = {2020},
 title        = {{{PyZX}}: {{Large Scale Automated Diagrammatic Reasoning}}},
 booktitle    = {Proceedings 16th {{International Conference}} on {{Quantum Physics}} and {{Logic}}},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {318},
 publisher    = {{Open Publishing Association}},
 address      = {{CA, USA.}},
 pages        = {229--241},
 doi          = {10.4204/EPTCS.318.14},
)
@article(kissingerReducingNumberNonClifford2020,
 author       = {Aleks Kissinger and {van de Wetering}, John},
 year         = {2020},
 title        = {Reducing the Number of Non-{{Clifford}} Gates in Quantum Circuits},
 journal      = {Physical Review A},
 volume       = {102},
 number       = {2},
 pages        = {022406},
 doi          = {10.1103/PhysRevA.102.022406},
 eprint       = {1903.10477},
)
@inproceedings(kissingerClassicalSimulationQuantum2022,
 author       = {Aleks Kissinger and {van de Wetering}, John and Renaud Vilmart},
 year         = {2022},
 title        = {Classical {{Simulation}} of {{Quantum Circuits}} with {{Partial}} and {{Graphical Stabiliser Decompositions}}},
 editor       = {Le Gall, Fran{\c c}ois and Tomoyuki Morimae},
 booktitle    = {17th {{Conference}} on the {{Theory}} of {{Quantum Computation}}, {{Communication}} and {{Cryptography}} ({{TQC}} 2022)},
 series       = {Leibniz {{International Proceedings}} in {{Informatics}} ({{LIPIcs}})},
 volume       = {232},
 publisher    = {{Schloss Dagstuhl \textendash{} Leibniz-Zentrum f\"ur Informatik}},
 address      = {{Dagstuhl, Germany}},
 pages        = {5:1--5:13},
 doi          = {10.4230/LIPIcs.TQC.2022.5},
)
@misc(laakkonenGraphicalSATAlgorithm2022,
 author       = {Tuomas Laakkonen and Konstantinos Meichanetzidis and John van de Wetering},
 year         = {2022},
 title        = {A Graphical \#SAT Algorithm for Formulae with Small Clause Density},
 eprint       = {2212.08048},
)
@misc(mcelvanneyCompleteFlowpreservingRewrite2022,
 author       = {Tommy McElvanney and Miriam Backens},
 year         = {2022},
 title        = {Complete Flow-Preserving Rewrite Rules for {{MBQC}} Patterns with {{Pauli}} Measurements},
 eprint       = {2205.02009},
)
@inproceedings(meichanetzidisQuantumNaturalLanguage2021,
 author       = {Konstantinos Meichanetzidis and Stefano Gogioso and {de Felice}, Giovanni and Nicol{\`o} Chiappori and Alexis Toumi and Bob Coecke},
 year         = {2021},
 title        = {Quantum Natural Language Processing on Near-Term Quantum Computers},
 editor       = {Beno{\^i}t Valiron and Shane Mansfield and Pablo Arrighi and Prakash Panangaden},
 booktitle    = {Proceedings 17th International Conference on Quantum Physics and Logic},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {340},
 publisher    = {{Open Publishing Association}},
 address      = {{Paris, France}},
 pages        = {213--229},
 doi          = {10.4204/EPTCS.340.11},
)
@article(nikolaevaDecomposingGeneralizedToffoli2022,
 author       = {A. S. Nikolaeva and E. O. Kiktenko and A. K. Fedorov},
 year         = {2022},
 title        = {Decomposing the Generalized {{Toffoli}} Gate with Qutrits},
 journal      = {Physical Review A},
 volume       = {105},
 number       = {3},
 pages        = {032621},
 doi          = {10.1103/PhysRevA.105.032621},
 eprint       = {2112.14535},
)
@inproceedings(perdrixSupplementarityNecessaryQuantum2016,
 author       = {Simon Perdrix and Quanlong Wang},
 year         = {2016},
 title        = {Supplementarity Is Necessary for Quantum Diagram Reasoning},
 editor       = {Piotr Faliszewski and Anca Muscholl and Rolf Niedermeier},
 booktitle    = {41st International Symposium on Mathematical Foundations of Computer Science ({{MFCS}} 2016)},
 series       = {Leibniz International Proceedings in Informatics ({{LIPIcs}})},
 volume       = {58},
 publisher    = {{Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik}},
 address      = {{Dagstuhl, Germany}},
 pages        = {76:1--76:14},
 doi          = {10.4230/LIPIcs.MFCS.2016.76},
)
@inproceedings(poorCompletenessArbitraryFinite2023,
 author       = {Boldizs{\'a}r Po{\'o}r and Quanlong Wang and Razin A. Shaikh and Lia Yeh and Richie Yeung and Bob Coecke},
 year         = {2023},
 title        = {Completeness for Arbitrary Finite Dimensions of {{ZXW-calculus}}, a Unifying Calculus},
 booktitle    = {2023 38th {{Annual ACM}}/{{IEEE Symposium}} on {{Logic}} in {{Computer Science}} ({{LICS}})},
 address      = {{Boston, MA, USA}},
 pages        = {1--14},
 doi          = {10.1109/LICS56636.2023.10175672},
 eprint       = {2302.12135},
)
@mastersthesis(poorUniqueNormalForm2022,
 author       = {Boldizsár Poór},
 year         = {2022},
 title        = {A Unique Normal Form for Prime-Dimensional Qudit {{Clifford ZX-calculus}}},
 school       = {University of Oxford},
 url          = {https://www.cs.ox.ac.uk/people/aleks.kissinger/theses/poor-thesis.pdf},
)
@inproceedings(ranchinDepictingQuditQuantum2014,
 author       = {Andr{\'e} Ranchin},
 year         = {2014},
 title        = {Depicting Qudit Quantum Mechanics and Mutually Unbiased Qudit Theories},
 editor       = {Bob Coecke and Ichiro Hasuo and Prakash Panangaden},
 booktitle    = {Proceedings of the 11th Workshop on {{Quantum Physics}} and {{Logic}}},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {172},
 publisher    = {{Open Publishing Association}},
 address      = {{Kyoto, Japan}},
 pages        = {68--91},
 doi          = {10.4204/EPTCS.172.6},
)
@article(ringbauerUniversalQuditQuantum2022,
 author       = {Martin Ringbauer and Michael Meth and Lukas Postler and Roman Stricker and Rainer Blatt and Philipp Schindler and Thomas Monz},
 year         = {2022},
 title        = {A Universal Qudit Quantum Processor with Trapped Ions},
 journal      = {Nature Physics},
 volume       = {18},
 number       = {9},
 pages        = {1053--1057},
 doi          = {10.1038/s41567-022-01658-0},
 eprint       = {2109.06903},
)
@misc(shaikhHowSumExponentiate2022,
 author       = {Razin A. Shaikh and Quanlong Wang and Richie Yeung},
 year         = {2022},
 title        = {How to Sum and Exponentiate {{Hamiltonians}} in {{ZXW}} Calculus},
 eprint       = {2212.04462},
)
@misc(townsend-teagueSimplificationStrategiesQutrit2022,
 author       = {{Townsend-Teague}, Alex and Konstantinos Meichanetzidis},
 year         = {2022},
 title        = {Simplification {{Strategies}} for the {{Qutrit ZX-Calculus}}},
 eprint       = {2103.06914},
)
@misc(vandeweteringPhaseGadgetCompilation2022,
 author       = {{van de Wetering}, John and Lia Yeh},
 year         = {2022},
 title        = {Phase Gadget Compilation for Diagonal Qutrit Gates},
 eprint       = {2204.13681},
)
@article(vandennestClassicalSimulationQuantum2010,
 author       = {{Van den Nest}, Maarten},
 year         = {2010},
 title        = {Classical Simulation of Quantum Computation, the {{Gottesman-Knill}} Theorem, and Slightly Beyond},
 journal      = {Quantum Information \& Computation},
 volume       = {10},
 number       = {3\&4},
 pages        = {258--271},
 doi          = {10.26421/QIC10.3-4-6},
 eprint       = {0811.0898},
)
@inproceedings(wangQutritZXcalculusComplete2018,
 author       = {Quanlong Wang},
 year         = {2018},
 title        = {Qutrit {{ZX-calculus}} Is {{Complete}} for {{Stabilizer Quantum Mechanics}}},
 editor       = {Bob Coecke and Aleks Kissinger},
 booktitle    = {Proceedings 14th International Conference on Quantum Physics and Logic},
 series       = {Electronic Proceedings in Theoretical Computer Science},
 volume       = {266},
 publisher    = {{Open Publishing Association}},
 address      = {{Nijmegen, The Netherlands}},
 pages        = {58--70},
 doi          = {10.4204/EPTCS.266.3},
)
@misc(wangQufiniteZXcalculusUnified2022,
 author       = {Quanlong Wang},
 year         = {2022},
 title        = {Qufinite {{ZX-calculus}}: A Unified Framework of Qudit {{ZX-calculi}}},
 eprint       = {2104.06429},
)
@misc(wangDifferentiatingIntegratingZX2022,
 author       = {Quanlong Wang and Richie Yeung and Mark Koch},
 year         = {2022},
 title        = {Differentiating and {{Integrating ZX Diagrams}} with {{Applications}} to {{Quantum Machine Learning}}},
 eprint       = {2201.13250},
)
@article(wangQuditsHighDimensionalQuantum2020,
 author       = {Yuchen Wang and Zixuan Hu and Barry C. Sanders and Sabre Kais},
 year         = {2020},
 title        = {Qudits and {{High-Dimensional Quantum Computing}}},
 journal      = {Frontiers in Physics},
 volume       = {8},
 doi          = {10.3389/fphy.2020.589504},
)
@article(yeCircuitQEDSinglestep2018,
 author       = {Biaoliang Ye and Zhen-Fei Zheng and Yu Zhang and Chui-Ping Yang},
 year         = {2018},
 title        = {Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling $n-1$ microwave photonic qubits},
 journal      = {Optics Express},
 volume       = {26},
 number       = {23},
 pages        = {30689--30702},
 doi          = {10.1364/OE.26.030689},
)
@inproceedings(yehConstructingAllQutrit2022,
 author       = {Lia Yeh and {van de Wetering}, John},
 year         = {2022},
 title        = {Constructing {{All Qutrit Controlled Clifford}}+{{T}} Gates in~{{Clifford}}+{{T}}},
 editor       = {Claudio Antares Mezzina and Krzysztof Podlaski},
 booktitle    = {Reversible {{Computation}}},
 series       = {Lecture {{Notes}} in {{Computer Science}}},
 publisher    = {{Springer International Publishing}},
 address      = {{Cham}},
 pages        = {28--50},
 doi          = {10.1007/978-3-031-09005-9\_3},
 eprint       = {2204.00552},
)
@article(yurtalanImplementationWalshHadamardGate2020,
 author       = {M. A. Yurtalan and J. Shi and M. Kononenko and A. Lupascu and S. Ashhab},
 year         = {2020},
 title        = {Implementation of a {{Walsh-Hadamard Gate}} in a {{Superconducting Qutrit}}},
 journal      = {Physical Review Letters},
 volume       = {125},
 number       = {18},
 pages        = {180504},
 doi          = {10.1103/PhysRevLett.125.180504},
 eprint       = {2003.04879},
)
@misc(yutsumuraEachElementFinite2017,
 author       = {Yutsumura},
 year         = {2017},
 title        = {Each {{Element}} in a {{Finite Field}} Is the {{Sum}} of {{Two Squares}}},
 url          = {https://yutsumura.com/each-element-in-a-finite-field-is-the-sum-of-two-squares},
)
@phdthesis(zanasiInteractingHopfAlgebras2018,
 author       = {Fabio Zanasi},
 year         = {2018},
 title        = {Interacting {{Hopf Algebras}}: The Theory of Linear Systems},
 school       = {Ecole Normale Superieure de Lyon},
 eprint       = {1805.03032},
)
@article(zhaoAnalyzingBarrenPlateau2021,
 author       = {Chen Zhao and Xiao-Shan Gao},
 year         = {2021},
 title        = {Analyzing the Barren Plateau Phenomenon in Training Quantum Neural Networks with the {{ZX-calculus}}},
 journal      = {Quantum},
 volume       = {5},
 pages        = {466},
 doi          = {10.22331/q-2021-06-04-466},
)