@(jython, title = {The Jython Project : Python for the Java Platform}, url = {http://www.jython.org}, ) @article(Scott-Aaronson:2004yf, author = {S. Aaronson and D Gottesman}, year = {2004}, title = {Improved Simulation of Stabilizer Circuits}, journal = {Phys. Rev. A}, volume = {70}, number = {052328}, doi = {10.1103/PhysRevA.70.052328}, ) @article(1367-2630-16-9-093021, 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(Backens:2015aa, 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 (QPL 2015)}, series = {Electronic Proceedings in Theoretical Computer Science}, volume = {195}, pages = {17--32}, doi = {10.4204/EPTCS.195.2}, ) @inproceedings(Backens2016A-Simplified-St, author = {Miriam Backens and Simon Perdrix and Quanlong Wang}, year = {2016}, title = {A Simplified Stabilizer ZX-calculus}, editor = {R. Duncan and C. Heunen}, booktitle = {Proceedings 13th International Conference on Quantum Physics and Logic (QPL 2016)}, series = {Electronic Proceedings in Theoretical Computer Science}, volume = {236}, pages = {1--20}, doi = {10.4204/EPTCS.236.1}, ) @article(Chancellor2016Coherent-Parity, author = {Nicholas Chancellor and Aleks Kissinger and Stefan Zohren and Dominic Horsman}, year = {2016}, title = {Coherent Parity Check Construction for Quantum Error Correction}, journal = {arXiv.org preprint}, number = {arXiv:1611.08012}, ) @article(Coecke:2009aa, author = {Bob Coecke and Ross Duncan}, year = {2011}, title = {Interacting Quantum Observables: Categorical Algebra and Diagrammatics}, journal = {New J. Phys}, volume = {13}, number = {043016}, doi = {10.1088/1367-2630/13/4/043016}, ) @incollection(Coecke:2015aa, author = {Bob Coecke and Ross Duncan and Aleks Kissinger and Quanlong Wang}, year = {2015}, title = {Generalised Compositional Theories and Diagrammatic Reasoning}, editor = {G. Chiribella and R. Spekkens}, booktitle = {Quantum Theory: Informational Foundations and Foils}, publisher = {Springer}, doi = {10.1007/978-94-017-7303-4\_10}, ) @article(Danos2006Determinism-in-, author = {V. Danos and E. Kashefi}, year = {2006}, title = {Determinism in the one-way model}, journal = {Phys. Rev. A}, volume = {74}, number = {052310}, doi = {10.1103/PhysRevA.74.052310}, ) @inproceedings(Duncan2016Interacting-Fro, author = {Ross Duncan and Kevin Dunne}, year = {2016}, title = {Interacting {F}robenius Algebras are {H}opf}, editor = {Martin Grohe and Eric Koskinen and Natarajan Shankar}, booktitle = {{Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science, {LICS} '16, New York, NY, USA, July 5-8, 2016}}, series = {{LICS '16}}, publisher = {{ACM}}, pages = {535--544}, doi = {10.1145/2933575.2934550}, ) @inproceedings(Duncan:2013lr, author = {Ross Duncan and Maxime Lucas}, year = {2014}, title = {Verifying the {S}teane code with {Q}uantomatic}, editor = {Bob Coecke and Matty Hoban}, booktitle = {Proceedings 10th International Workshop on Quantum Physics and Logic (QPL 2013)}, series = {Electronic Proceedings in Theoretical Computer Science}, volume = {171}, pages = {33--49}, doi = {10.4204/EPTCS.171.4}, ) @inproceedings(Duncan:2009ph, author = {Ross Duncan and Simon Perdrix}, year = {2009}, title = {Graph States and the Necessity of {E}uler Decomposition}, editor = {Ambos-Spies, K. and B. L\"{o}we and W. Merkle}, booktitle = {Computability in Europe: Mathematical Theory and Computational Practice (CiE'09)}, series = {Lecture Notes in Computer Science}, volume = {5635}, publisher = {Springer}, pages = {167--177}, doi = {10.1007/978-3-642-03073-4\_18}, ) @inproceedings(EPTCS171.5, author = {Ross Duncan and Simon Perdrix}, year = {2014}, title = {Pivoting makes the ZX-calculus complete for real stabilizers}, editor = {Bob Coecke and Matty Hoban}, booktitle = {Proceedings 10th International Workshop on Quantum Physics and Logic, Castelldefels (Barcelona), Spain, 17th to 19th July 2013}, series = {Electronic Proceedings in Theoretical Computer Science}, volume = {171}, publisher = {Open Publishing Association}, pages = {50--62}, doi = {10.4204/EPTCS.171.5}, ) @inproceedings(Garvie2017Verifying-the-S, 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 (QPL 2017), Nijmegen, The Netherlands, 3-7 July 2017}, series = {Electronic Proceedings in Theoretical Computer Science}, volume = {266}, pages = {147--163}, doi = {10.4204/EPTCS.266.10}, ) @inproceedings(Gottesman:1999to, author = {Daniel Gottesman}, year = {1999}, title = {The Heisenberg Representation of Quantum Computers}, editor = {S. P. Corney and R. Delbourgo and P. D. Jarvis}, booktitle = {Proceedings of the XXII International Colloquium on Group Theoretical Methods in Physics}, publisher = {International Press}, pages = {32--43}, ) @inproceedings(Jeandel2017A-Complete-Axio, author = {Emmanuel Jeandel and Simon Perdrix and Renaud Vilmart}, year = {2018}, title = {A Complete Axiomatisation of the {ZX}-Calculus for {C}lifford+{T} Quantum Mechanics}, booktitle = {LICS '18- Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science}, volume = {arXiv:1705.11151}, publisher = {ACM}, doi = {10.1145/3209108.3209131}, ) @misc(quantomatichome, author = {A. Kissinger and L. Dixon and R. Duncan and B. Frot and A. Merry and D. Quick and M. Soloviev and V. Zamdzhiev}, title = {Quantomatic}, url = {http://quantomatic.github.io/}, ) @inproceedings(Kissinger2015Quantomatic:-A-, author = {Aleks Kissinger and Vladimir Zamdzhiev}, year = {2015}, title = {Quantomatic: A Proof Assistant for Diagrammatic Reasoning}, editor = {P. Amy Felty and Aart Middeldorp}, booktitle = {Automated Deduction - CADE-25: 25th International Conference on Automated Deduction, Berlin, Germany, August 1-7, 2015, Proceedings}, publisher = {Springer}, pages = {326--336}, doi = {10.1007/978-3-319-21401-6\_22}, ) @article(Lack:2004sf, author = {Stephen Lack}, year = {2004}, title = {Composing {PROP}s}, journal = {Theory and Applications of Categories}, volume = {13}, number = {9}, pages = {147--163}, ) @article(Lane1965Categorical-Alg, author = {Saunders Mac Lane}, year = {1965}, title = {Categorical Algebra}, journal = {Bull. Amer. Math. Soc.}, volume = {71}, pages = {40--106}, doi = {10.1090/S0002-9904-1965-11234-4}, ) @article(Maslov2017Shorter-stabili, author = {Dmitri Maslov and Martin Roetteler}, year = {2018}, title = {Shorter stabilizer circuits via Bruhat decomposition and quantum circuit transformations}, journal = {IEEE Transactions on Information Theory}, volume = {64}, number = {7}, pages = {4729--4738}, doi = {10.1109/TIT.2018.2825602}, ) @unpublished(NgWang, author = {Kang Feng Ng and Quanlong Wang}, year = {2017}, title = {A universal completion of the ZX-calculus}, note = {ArXiv:1706.09877}, ) @inproceedings(Perdrix:2015aa, 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}, ) @article(Raussendorf-2001, author = {R. Raussendorf and H. J. Briegel}, year = {2001}, title = {A One-Way Quantum Computer}, journal = {Phys. Rev. Lett.}, volume = {86}, pages = {5188--5191}, doi = {10.1103/PhysRevLett.86.5188}, ) @article(selinger2013generators, author = {Peter Selinger}, year = {2015}, title = {Generators and relations for n-qubit Clifford operators}, journal = {Logical Methods in Computer Science}, volume = {11}, number = {2:10}, doi = {10.2168/LMCS-11(2:10)2015}, )