@inproceedings(Coeckesamson, author = {S. Abramsky and B. Coecke}, year = {2004}, title = {A categorical semantics of quantum protocols}, booktitle = {Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004.}, pages = {415--425}, doi = {10.1109/LICS.2004.1319636}, ) @article(Miriam1, 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}, ) @phdthesis(Miriam2, author = {Miriam Backens}, year = {2016}, title = {Completeness and the ZX-calculus}, url = {https://arxiv.org/abs/1602.08954}, ) @unpublished(Mohsen, author = {Mohsen Bahramgiri and Salman Beigi}, title = {Graph States Under the Action of Local Clifford Group in Non-Binary Case}, note = {\href{https://arxiv.org/abs/quant-ph/0610267}{arXiv:quant-ph/0610267}}, ) @article(BianWang1, author = {Xiaoning Bian and Quanlong Wang}, year = {2015}, title = {Graphical Calculus for Qutrit Systems}, journal = {IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences}, volume = {E98.A}, number = {1}, pages = {391--399}, doi = {10.1587/transfun.E98.A.391}, ) @article(amk, 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 = {Phys. Rev. A}, volume = {96}, pages = {012306}, doi = {10.1103/PhysRevA.96.012306}, ) @unpublished(ckzh, author = {Nicholas Chancellor and Aleks Kissinger and Joschka Roffe and Stefan Zohren and Dominic Horsman}, title = {Coherent Parity Check Construction for Quantum Error Correction}, note = {\href{https://arxiv.org/abs/1611.08012}{arXiv:1611.08012}}, ) @article(CoeckeDuncan, 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}, ) @article(Shawn, author = {Shawn X. Cui and Zhenghan Wang}, year = {2015}, title = {Universal quantum computation with metaplectic anyons}, journal = {Journal of Mathematical Physics}, volume = {56}, number = {3}, pages = {032202}, doi = {10.1063/1.4914941}, ) @inproceedings(DuncanLucas, author = {Ross Duncan and Maxime Lucas}, year = {2013}, title = {Verifying the Steane code with Quantomatic}, booktitle = {Proceedings of the 10th International Workshop on Quantum Physics and Logic, {QPL} 2013, Castelldefels (Barcelona), Spain, July 17-19, 2013.}, pages = {33--49}, doi = {10.4204/EPTCS.171.4}, ) @incollection(Duncanpx, author = {Ross Duncan and Simon Perdrix}, year = {2010}, title = {Rewriting Measurement-Based Quantum Computations with Generalised Flow}, booktitle = {Automata, Languages and Programming}, volume = {6199}, publisher = {Springer Berlin Heidelberg}, address = {Berlin, Heidelberg}, pages = {285--296}, doi = {10.1007/978-3-642-14162-1\_24}, ) @unpublished(GongWang, author = {Xiaoyan Gong and Quanlong Wang}, title = {Equivalence of Local Complementation and Euler Decomposition in the Qutrit ZX-calculus}, note = {\href{http://arxiv.org/abs/1704.05955}{arXiv:1704.05955}}, ) @article(Horsman, author = {Clare Horsman}, year = {2011}, title = {Quantum picturalism for topological cluster-state computing}, journal = {New Journal of Physics}, volume = {13}, number = {9}, pages = {095011}, doi = {10.1088/1367-2630/13/9/095011}, ) @article(Hostens, author = {Erik Hostens and Jeroen Dehaene and De Moor, Bart}, year = {2005}, title = {Stabilizer states and Clifford operations for systems of arbitrary dimensions and modular arithmetic}, journal = {Phys. Rev. A}, volume = {71}, pages = {042315}, doi = {10.1103/PhysRevA.71.042315}, ) @article(Mark, author = {Mark Howard and Eoin Brennan and Jiri Vala}, year = {2013}, title = {Quantum Contextuality with Stabilizer States}, journal = {Entropy}, volume = {15}, number = {6}, pages = {2340--2362}, doi = {10.3390/e15062340}, ) @article(Dan, author = {Dan Hu and Weidong Tang and Meisheng Zhao and Qing Chen and Sixia Yu and C. H. Oh}, year = {2008}, title = {Graphical nonbinary quantum error-correcting codes}, journal = {Phys. Rev. A}, volume = {78}, pages = {012306}, doi = {10.1103/PhysRevA.78.012306}, ) @unpublished(Emmanuel, author = {Emmanuel Jeandel and Simon Perdrix and Renaud Vilmart}, title = {A Complete Axiomatisation of the ZX-Calculus for Clifford+T Quantum Mechanics}, note = {\href{https://arxiv.org/abs/1705.11151}{arXiv:1705.11151}}, ) @misc(Quanto, author = {Aleks Kissinger and Alex Merry and Ben Frot and Bob Coecke and David Quick and Lucas Dixon and Matvey Soloviev and Ross Duncan and Vladimir Zamdzhiev}, title = {Quantomatic}, howpublished = {\url{https://quantomatic.github.io/}}, ) @article(ShiangGr, author = {Shiang Yong Looi and Robert B. Griffiths}, year = {2011}, title = {Tripartite entanglement in qudit stabilizer states and application in quantum error correction}, journal = {Phys. Rev. A}, volume = {84}, pages = {052306}, doi = {10.1103/PhysRevA.84.052306}, ) @article(Griffiths, author = {Shiang Yong Looi and Li Yu and Vlad Gheorghiu and Robert B. Griffiths}, year = {2008}, title = {Quantum-error-correcting codes using qudit graph states}, journal = {Phys. Rev. A}, volume = {78}, pages = {042303}, doi = {10.1103/PhysRevA.78.042303}, ) @inproceedings(Malik, author = {Mehul Malik and Manuel Erhard and Marcus Huber and Mario Krenn and Robert Fickler and Anton Zeilinger}, year = {2016}, title = {Multi-Photon Entanglement in High Dimensions}, booktitle = {Frontiers in Optics 2016}, publisher = {Optical Society of America}, pages = {FW3F.1}, doi = {10.1364/FIO.2016.FW3F.1}, ) @inproceedings(mmp, author = {Anne Marin and Damian Markham and Simon Perdrix}, year = {2013}, title = {{Access Structure in Graphs in High Dimension and Application to Secret Sharing}}, editor = {Simone Severini and Fernando Brandao}, booktitle = {{TQC 2013 - 8th Conference on the Theory of Quantum Computation, Communication and Cryptography}}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, volume = {22}, publisher = {{Schloss Dagstuhl}}, address = {Guelph, Canada}, pages = {308--324}, doi = {10.4230/LIPIcs.TQC.2013.308}, ) @article(Muthukrishnan, author = {Ashok Muthukrishnan and C. R. Stroud}, year = {2000}, title = {Multivalued logic gates for quantum computation}, journal = {Phys. Rev. A}, volume = {62}, pages = {052309}, doi = {10.1103/PhysRevA.62.052309}, ) @inproceedings(Ranchin, author = {Andre Ranchin}, year = {2014}, title = {{Depicting qudit quantum mechanics and mutually unbiased qudit theories}}, booktitle = {Electronic Proceedings in Theoretical Computer Science}, series = {EPTCS}, volume = {172}, pages = {68--91}, doi = {10.4204/EPTCS.172.6}, ) @article(Smith, author = {A. Smith and B. E. Anderson and Sosa-Martinez, H. and Riofr\'{\i}o, C. A. and Ivan H. Deutsch and Poul S. Jessen}, year = {2013}, title = {Quantum Control in the Cs $6{S}_{1/2}$ Ground Manifold Using Radio-Frequency and Microwave Magnetic Fields}, journal = {Phys. Rev. Lett.}, volume = {111}, pages = {170502}, doi = {10.1103/PhysRevLett.111.170502}, ) @article(BianWang2, author = {Quanlong Wang and Xiaoning Bian}, year = {2014}, title = {{Qutrit Dichromatic Calculus and Its Universality}}, journal = {EPTCS}, doi = {10.4204/EPTCS.172.7}, ) @article(Vladimir, author = {Schr\"{o}der de Witt, Christian and Vladimir Zamdzhiev}, year = {2014}, title = {The {ZX}-calculus is incomplete for quantum mechanics}, journal = {EPTCS}, volume = {172}, pages = {285--292}, doi = {10.4204/EPTCS.172.20}, )