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IEEE Computer Society, 2004. - -\bibitem{1367-2630-16-9-093021} -Miriam Backens. -\newblock The zx-calculus is complete for stabilizer quantum mechanics. -\newblock {\em New Journal of Physics}, 16(9):093021, 2014. - -\bibitem{D.E.-Browne2007Generalized-Flo} -Dan~E. Browne, Elham Kashefi, Mehdi Mhalla, and Simon Perdrix. -\newblock Generalized flow and determinism in measurement-based quantum - computation. -\newblock {\em New J. Phys}, 9(250), August 2007. - -\bibitem{Chancellor2016Coherent-Parity} -Nicholas Chancellor, Aleks Kissinger, Stefan Zohren, and Dominic Horsman. -\newblock Coherent parity check construction for quantum error correction. -\newblock {\em arXiv.org preprint}, 2016. - -\bibitem{Coecke:2009aa} -Bob Coecke and Ross Duncan. -\newblock Interacting quantum observables: Categorical algebra and - diagrammatics. -\newblock {\em New J. Phys}, 13(043016), 2011. - -\bibitem{Coecke2017Picturing-Quant} -Bob Coecke and Aleks Kissinger. -\newblock {\em Picturing Quantum Processes: A First Course in Quantum Theory - and Diagrammatic Reasoning}. -\newblock Cambridge University Press, 2017. - -\bibitem{Cross2017Open-Quantum-As} -Andrew~W. Cross, Lev~S. Bishop, John~A. Smolin, and Jay~M. Gambetta. -\newblock Open quantum assembly language. -\newblock - \url{https://github.com/IBM/qiskit-openqasm/blob/master/spec/qasm2.pdf}, - January 2017. - -\bibitem{DanosV:meac} -Vincent Danos, Elham Kashefi, and Prakash Panangaden. -\newblock The measurement calculus. -\newblock {\em Journal of ACM}, 54(2), 2007. - -\bibitem{BH-2017} -Niel de~Beaudrap and Dominic Horsman. -\newblock The {ZX} calculus is a language for surface code lattice surgery. -\newblock arXiv:1704.08670, 2017. - -\bibitem{Duncan:2012uq} -Ross Duncan. -\newblock A graphical approach to measurement-based quantum computing. -\newblock In Chris Heunen, Mehrnoosh Sadrzadeh, and Edward Grefenstette, - editors, {\em Quantum Physics and Linguistics: A Compositional, Diagrammatic - Discourse}, chapter~3. Oxford University Press, 2013. - -\bibitem{Duncan:2013lr} -Ross Duncan and Maxime Lucas. -\newblock Verifying the {S}teane code with {Q}uantomatic. -\newblock In Bob Coecke and Matty Hoban, editors, {\em Proceedings 10th - International Workshop on Quantum Physics and Logic (QPL 2013)}, volume 171 - of {\em Electronic Proceedings in Theoretical Computer Science}, pages - 33--49, 2014. - -\bibitem{Duncan:2010aa} -Ross Duncan and Simon Perdrix. -\newblock Rewriting measurement-based quantum computations with generalised - flow. -\newblock In S.~Abramsky, C.~Gavoille, C~Kirchner, F.~Meyer auf~der Heide, and - P.~G. Spirakis, editors, {\em Automata, Languages and Programming, 37th - International Colloquium, ICALP 2010, Proceedings Part II}, volume 6199 of - {\em Lecture Notes in Computer Science}, pages 285--296. 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