@inproceedings(AC1, author = {Samson Abramsky and Bob Coecke}, year = {2004}, title = {A Categorical Semantics of Quantum Protocols}, booktitle = {19th {IEEE} Symposium on Logic in Computer Science {(LICS} 2004), 14-17 July 2004, Turku, Finland, Proceedings}, publisher = {{IEEE} Computer Society}, pages = {415--425}, doi = {10.1109/LICS.2004.1319636}, ) @inproceedings(Amy-2018, author = {Matthew Amy}, year = {2018}, title = {Towards Large-scale Functional Verification of Universal Quantum Circuits}, booktitle = {Proceedings of QPL 2018}, pages = {1--21}, doi = {10.4204/EPTCS.287.1}, note = {{[arXiv:1901.09476]; see also https://github.com/meamy/feynman.}}, ) @article(Backens, 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(Backens2, author = {Miriam Backens}, year = {2014}, title = {The ZX-calculus is complete for the single-qubit Clifford+T group}, 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}, pages = {293--303}, doi = {10.4204/EPTCS.172.21}, ) @inproceedings(EPTCS287.2, 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 = {{\rm Proceedings of the 15th International Conference on} Quantum Physics and Logic, {\rm Halifax, Canada, 3-7th June 2018}}, series = {Electronic Proceedings in Theoretical Computer Science}, volume = {287}, publisher = {Open Publishing Association}, pages = {23--42}, doi = {10.4204/EPTCS.287.2}, ) @inproceedings(nielbianwangtqc, 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, June 9-12, 2020, Riga, Latvia}, series = {LIPIcs}, volume = {158}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik}, pages = {11:1--11:23}, doi = {10.4230/LIPIcs.TQC.2020.11}, ) @inproceedings(nielbianwang, author = {Niel de Beaudrap and Xiaoning Bian and Quanlong Wang}, year = {2020}, title = {Techniques to Reduce $\pi/4$-Parity-Phase Circuits, Motivated by the ZX Calculus}, editor = {Bob Coecke and Matthew Leifer}, booktitle = {{\rm Proceedings 16th International Conference on} Quantum Physics and Logic, {\rm Chapman University, Orange, CA, USA., 10-14 June 2019}}, series = {Electronic Proceedings in Theoretical Computer Science}, volume = {318}, publisher = {Open Publishing Association}, pages = {131--149}, doi = {10.4204/EPTCS.318.9}, ) @article(Xiaoning, author = {Xiaoning Bian}, title = {https://github.com/onestruggler/cx-ccx}, journal = {GitHub}, ) @inproceedings(galoiscircuits, author = {Donny Cheung and Dmitri Maslov and Jimson Mathew and Dhiraj K. Pradhan}, year = {2008}, title = {On the Design and Optimization of a Quantum Polynomial-Time Attack on Elliptic Curve Cryptography}, editor = {Yasuhito Kawano and Michele Mosca}, booktitle = {Theory of Quantum Computation, Communication, and Cryptography, Third Workshop, {TQC} 2008, Tokyo, Japan, January 30 - February 1, 2008. Revised Selected Papers}, series = {Lecture Notes in Computer Science}, volume = {5106}, publisher = {Springer}, pages = {96--104}, doi = {10.1007/978-3-540-89304-2\_9}, ) @inproceedings(CockettComfort, author = {J.R.B. Cockett and Cole Comfort}, year = {2019}, title = {The Category TOF}, editor = {Peter Selinger and Giulio Chiribella}, booktitle = {{\rm Proceedings of the 15th International Conference on} Quantum Physics and Logic, {\rm Halifax, Canada, 3-7th June 2018}}, series = {Electronic Proceedings in Theoretical Computer Science}, volume = {287}, publisher = {Open Publishing Association}, pages = {67--84}, doi = {10.4204/EPTCS.287.4}, ) @inproceedings(DBLP:conf/rc/CoeckeW18, author = {B. Coecke and Q. Wang}, year = {2018}, title = {ZX-Rules for 2-Qubit {C}lifford+{T} Quantum Circuits}, booktitle = {Reversible Computation - 10th International Conference, {RC} 2018, Leicester, UK, September 12-14, 2018, Proceedings}, pages = {144--161}, doi = {10.1007/978-3-319-99498-7\_10}, ) @inproceedings(CD1, 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, 35th International Colloquium, {ICALP} 2008, Reykjavik, Iceland, July 7-11, 2008, Proceedings, Part {II} - Track {B:} Logic, Semantics, and Theory of Programming {\&} Track {C:} Security and Cryptography Foundations}, series = {Lecture Notes in Computer Science}, volume = {5126}, publisher = {Springer}, pages = {298--310}, doi = {10.1007/978-3-540-70583-3\_25}, ) @article(CD2, 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}, url = {http://stacks.iop.org/1367-2630/13/i=4/a=043016}, ) @inproceedings(CK, author = {Bob Coecke and Aleks Kissinger}, year = {2010}, title = {The Compositional Structure of Multipartite Quantum Entanglement}, editor = {Samson Abramsky and Cyril Gavoille and Claude Kirchner and Friedhelm Meyer auf der Heide and Paul G. Spirakis}, booktitle = {Automata, Languages and Programming, 37th International Colloquium, {ICALP} 2010, Bordeaux, France, July 6-10, 2010, Proceedings, Part {II}}, series = {Lecture Notes in Computer Science}, volume = {6199}, publisher = {Springer}, pages = {297--308}, doi = {10.1007/978-3-642-14162-1\_25}, ) @book(CKbook, author = {Bob Coecke and Aleks Kissinger}, year = {2017}, title = {Picturing quantum processes}, publisher = {Cambridge University Press}, doi = {10.1017/9781316219317}, ) @inproceedings(Amar, author = {Amar Hadzihasanovic}, year = {2015}, title = {A Diagrammatic Axiomatisation for Qubit Entanglement}, booktitle = {30th Annual {ACM/IEEE} Symposium on Logic in Computer Science, {LICS} 2015, Kyoto, Japan, July 6-10, 2015}, publisher = {{IEEE} Computer Society}, pages = {573--584}, doi = {10.1109/LICS.2015.59}, ) @phdthesis(hadzihasanovic2017algebra, author = {Amar Hadzihasanovic}, year = {2017}, title = {The algebra of entanglement and the geometry of composition}, school = {University of Oxford}, ) @inproceedings(iwama2002transformation, author = {Kazuo Iwama and Yahiko Kambayashi and Shigeru Yamashita}, year = {2002}, title = {Transformation rules for designing CNOT-based quantum circuits}, booktitle = {Proceedings of the 39th Design Automation Conference, {DAC} 2002, New Orleans, LA, USA, June 10-14, 2002}, publisher = {{ACM}}, pages = {419--424}, doi = {10.1145/513918.514026}, ) @inproceedings(jeandel2017complete, 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 = {Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science}, series = {LICS '18}, publisher = {ACM}, address = {New York, NY, USA}, pages = {559--568}, doi = {10.1145/3209108.3209131}, ) @inproceedings(jeandel2018diagrammatic, author = {Emmanuel Jeandel and Simon Perdrix and Renaud Vilmart}, year = {2018}, title = {Diagrammatic Reasoning Beyond {C}lifford+{T} Quantum Mechanics}, booktitle = {Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science}, series = {LICS '18}, publisher = {ACM}, address = {New York, NY, USA}, pages = {569--578}, doi = {10.1145/3209108.3209139}, ) @article(Aleks2, author = {Aleks Kissinger and Arianne Meijer{-}van de Griend}, year = {2020}, title = {{CNOT} circuit extraction for topologically-constrained quantum memories}, journal = {Quantum Inf. Comput.}, volume = {20}, number = {7{\&}8}, pages = {581--596}, doi = {10.26421/QIC20.7-8-4}, ) @inproceedings(Aleks3, author = {Aleks Kissinger and John van de Wetering}, year = {2020}, title = {PyZX: Large Scale Automated Diagrammatic Reasoning}, editor = {Bob Coecke and Matthew Leifer}, booktitle = {{\rm Proceedings 16th International Conference on} Quantum Physics and Logic, {\rm Chapman University, Orange, CA, USA., 10-14 June 2019}}, series = {Electronic Proceedings in Theoretical Computer Science}, volume = {318}, publisher = {Open Publishing Association}, pages = {229--241}, doi = {10.4204/EPTCS.318.14}, ) @article(Aleks1, author = {Aleks Kissinger and John van de Wetering}, year = {2020}, title = {Reducing the number of non-Clifford gates in quantum circuits}, journal = {Phys. Rev. A}, volume = {102}, pages = {022406}, doi = {10.1103/PhysRevA.102.022406}, ) @article(NRSCM-2018, author = {Yunseong Nam and Neil J. Ross and Yuan Su and Andrew M. Childs and Dmitri Maslov}, year = {2018}, title = {Automated optimization of large quantum circuits with continuous parameters}, journal = {npj Quantum Information}, volume = {4}, number = {1}, pages = {23}, doi = {10.1038/s41534-018-0072-4}, note = {{[arXiv:1710.07345]}}, ) @article(ng2017universal, author = {Kang Feng Ng and Quanlong Wang}, year = {2017}, title = {A universal completion of the {ZX}-calculus}, note = {\href{http://arxiv.org/abs/1706.09877}{arXiv:1706.09877}}, ) @article(qwangkfclifford2018, author = {Kang Feng Ng and Quanlong Wang}, year = {2018}, title = {Completeness of the {ZX}-calculus for Pure Qubit Clifford+T Quantum Mechanics}, note = {\href{http://arxiv.org/abs/1801.07993}{arXiv:1801.07993}}, ) @inproceedings(toffoli, author = {Tommaso Toffoli}, year = {1980}, title = {Reversible Computing}, editor = {J. W. de Bakker and Jan van Leeuwen}, booktitle = {Automata, Languages and Programming, 7th Colloquium, Noordweijkerhout, The Netherlands, July 14-18, 1980, Proceedings}, series = {Lecture Notes in Computer Science}, volume = {85}, publisher = {Springer}, pages = {632--644}, doi = {10.1007/3-540-10003-2\_104}, ) @inproceedings(Vilmart2018, author = {Renaud Vilmart}, year = {2019}, title = {A Near-Minimal Axiomatisation of ZX-Calculus for Pure Qubit Quantum Mechanics}, booktitle = {34th Annual {ACM/IEEE} Symposium on Logic in Computer Science, {LICS} 2019, Vancouver, BC, Canada, June 24-27, 2019}, pages = {1--10}, doi = {10.1109/LICS.2019.8785765}, ) @phdthesis(QWthesis, author = {Quanlong Wang}, year = {2018}, title = {Completeness of the {ZX}-calculus}, school = {University of Oxford}, ) @article(wangalg2020, author = {Quanlong Wang}, year = {2020}, title = {An algebraic axiomatisation of ZX-calculus}, journal = {To appear in Proceedings 17th International Conference on Quantum Physics and Logic}, note = {\href{http://arxiv.org/abs/1911.06752}{arXiv:1911.06752}}, ) @unpublished(ZhangChen-2019, author = {Fang {Zhang} and Jianxin {Chen}}, year = {2019}, title = {Optimizing T gates in Clifford+T circuit as $\pi/4$ rotations around Paulis}, note = {\href{http://arxiv.org/abs/1903.12456}{arXiv:1903.12456}}, )