@article(amy2016finite, author = {Matthew Amy and Jianxin Chen and Neil J. Ross}, year = {2018}, title = {A Finite Presentation of CNOT-Dihedral Operators}, journal = {Electronic Proceedings in Theoretical Computer Science}, volume = {266}, pages = {84--97}, doi = {10.4204/eptcs.266.5}, ) @article(Amy2014Polynomial-Time, author = {Matthew Amy and Dmitri Maslov and Michele Mosca}, year = {2014}, title = {Polynomial-Time T-Depth Optimization of Clifford+T Circuits Via Matroid Partitioning}, journal = {IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems}, volume = {33}, number = {10}, pages = {1476--1489}, doi = {10.1109/TCAD.2014.2341953}, ) @article(amy2013meet, author = {Matthew Amy and Dmitri Maslov and Michele Mosca and Martin Roetteler}, year = {2013}, title = {A Meet-in-the-Middle Algorithm for Fast Synthesis of Depth-Optimal Quantum Circuits}, journal = {IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems}, volume = {32}, number = {6}, pages = {818--830}, doi = {10.1109/tcad.2013.2244643}, ) @article(amy2019t, author = {Matthew Amy and Michele Mosca}, year = {2019}, title = {T-Count Optimization and Reed-Muller Codes}, journal = {IEEE Transactions on Information Theory}, volume = {65}, number = {8}, pages = {4771--4784}, doi = {10.1109/tit.2019.2906374}, ) @article(barkoutsos2018quantum, author = {Panagiotis Kl Barkoutsos and Jerome F Gonthier and Igor Sokolov and Nikolaj Moll and Gian Salis and Andreas Fuhrer and Marc Ganzhorn and Daniel J Egger and Matthias Troyer and Antonio Mezzacapo}, year = {2018}, title = {Quantum algorithms for electronic structure calculations: Particle-hole Hamiltonian and optimized wave-function expansions}, journal = {Physical Review A}, volume = {98}, number = {2}, pages = {022322}, doi = {10.1103/PhysRevA.98.022322}, ) @article(bartlett1989alternative, author = {Rodney J Bartlett and Stanislaw A Kucharski and Jozef Noga}, year = {1989}, title = {Alternative coupled-cluster ans{\"a}tze II. The unitary coupled-cluster method}, journal = {Chemical physics letters}, volume = {155}, number = {1}, pages = {133--140}, doi = {10.1016/S0009-2614(89)87372-5}, ) @inproceedings(Beaudrap2017The-ZX-calculus, author = {Niel de Beaudrap and Dominic Horsman}, year = {2017}, title = {The ZX calculus is a language for surface code lattice surgery}, booktitle = {Proc. QPL2017}, url = {https://arxiv.org/pdf/1704.08670}, ) @article(Beverland2019Lower-bounds-on, author = {Michael Beverland and Earl Campbell and Mark Howard and Vadym Kliuchnikov}, year = {2019}, title = {Lower bounds on the non-Clifford resources for quantum computations}, journal = {arXiv preprint 1904.01124}, ) @article(blaauboer2008analytical, author = {M Blaauboer and De Visser, RL}, year = {2008}, title = {An analytical decomposition protocol for optimal implementation of two-qubit entangling gates}, journal = {Journal of Physics A: Mathematical and Theoretical}, volume = {41}, number = {39}, pages = {395307}, doi = {10.1088/1751-8113/41/39/395307}, ) @article(bravyi2017tapering, author = {Sergey Bravyi and Jay M Gambetta and Antonio Mezzacapo and Kristan Temme}, year = {2017}, title = {Tapering off qubits to simulate fermionic Hamiltonians}, journal = {arXiv preprint 1701.08213}, ) @article(bravyi2002fermionic, author = {Sergey B Bravyi and Alexei Yu Kitaev}, year = {2002}, title = {Fermionic quantum computation}, journal = {Annals of Physics}, volume = {298}, number = {1}, pages = {210--226}, doi = {10.1006/aphy.2002.6254}, ) @article(Cao:2018aa, author = {Yudong Cao and Jonathan Romero and Jonathan P. Olson and Matthias Degroote and Peter D. Johnson and M{\'a}ria Kieferov{\'a} and Ian D. Kivlichan and Tim Menke and Borja Peropadre and Nicolas P. D. Sawaya and Sukin Sim and Libor Veis and Aspuru-Guzik, Al{\'a}n}, year = {2018}, title = {Quantum Chemistry in the Age of Quantum Computing}, journal = {arXiv preprint 1812.09976}, ) @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}, ) @book(Coecke2017Picturing-Quant, author = {Bob Coecke and Aleks Kissinger}, year = {2017}, title = {Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning}, publisher = {Cambridge University Press}, doi = {10.1017/9781316219317}, ) @inproceedings(Alexander-Cowtan:2019aa, author = {Alexander Cowtan and Silas Dilkes and Ross Duncan and Alexandre Krajenbrink and Will Simmons and Seyon Sivarajah}, year = {2019}, title = {{On the Qubit Routing Problem}}, editor = {Wim van Dam and Laura Mancinska}, booktitle = {14th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2019)}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, volume = {135}, publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik}, address = {Dagstuhl, Germany}, pages = {5:1--5:32}, doi = {10.4230/LIPIcs.TQC.2019.5}, ) @article(Duncan:2019aa, author = {Ross Duncan and Aleks Kissinger and Simon Perdrix and John van de Wetering}, year = {2019}, title = {Graph-theoretic Simplification of Quantum Circuits with the ZX-calculus}, journal = {arXiv preprint 1902.03178}, ) @book(Ehrig:2006ab, author = {Hartmut Ehrig and Karsten Ehrig and Ulrike Prange and Gabriele Taentzer}, year = {2006}, title = {Fundamentals of Algebraic Graph Transformation}, series = {Monographs in Theoretical Computer Science}, publisher = {Springer Berlin Heidelberg}, doi = {10.1007/3-540-31188-2}, ) @article(fagan2019optimising, author = {Andrew Fagan and Ross Duncan}, year = {2019}, title = {Optimising Clifford Circuits with Quantomatic}, journal = {arXiv preprint 1901.10114}, doi = {10.4204/eptcs.287.5}, ) @article(Heyfron_2018, author = {Luke E Heyfron and Earl T Campbell}, year = {2018}, title = {An efficient quantum compiler that reduces T count}, journal = {Quantum Science and Technology}, volume = {4}, number = {1}, pages = {015004}, doi = {10.1088/2058-9565/aad604}, ) @(qiskit, author = {{IBM Research}}, title = {Qiskit}, url = {https://qiskit.org}, ) @article(jordan1928pauli, author = {Pascual Jordan and Eugene P Wigner}, year = {1928}, title = {About the Pauli exclusion principle}, journal = {Z. Phys.}, volume = {47}, pages = {631--651}, doi = {10.1007/BF01331938}, ) @article(kissinger2019cnot, author = {Aleks Kissinger and Meijer-van de Griend, Arianne}, year = {2019}, title = {CNOT circuit extraction for topologically-constrained quantum memories}, journal = {arXiv preprint 1904.00633}, ) @article(kissinger2019reducing, author = {Aleks Kissinger and John van de Wetering}, year = {2019}, title = {Reducing T-count with the ZX-calculus}, journal = {arXiv preprint 1903.10477}, ) @article(litinski2018game, author = {Daniel Litinski}, year = {2019}, title = {A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery}, journal = {Quantum}, volume = {3}, pages = {128}, doi = {10.22331/q-2019-03-05-128}, ) @article(1367-2630-18-2-023023, author = {Jarrod R McClean and Jonathan Romero and Ryan Babbush and Aspuru-Guzik, Al{\'a}n}, year = {2016}, title = {The theory of variational hybrid quantum-classical algorithms}, journal = {New Journal of Physics}, volume = {18}, number = {2}, pages = {023023}, doi = {10.1088/1367-2630/18/2/023023}, url = {http://stacks.iop.org/1367-2630/18/i=2/a=023023}, ) @article(Nam:2018aa, 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}, ) @article(nash2019quantum, author = {Beatrice Nash and Vlad Gheorghiu and Michele Mosca}, year = {2019}, title = {Quantum circuit optimizations for NISQ architectures}, journal = {arXiv preprint 1904.01972}, ) @(forest, author = {{Rigetti Computing}}, title = {Forest - Rigetti}, url = {http://rigetti.com/forest}, ) @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}, doi = {10.2168/lmcs-11(2:10)2015}, ) @(cirq, author = {{The Cirq Developers}}, title = {Cirq: A python library for NISQ circuits}, url = {https://cirq.readthedocs.io/en/stable/}, ) @article(vidal2004universal, author = {Guifre Vidal and Christopher M Dawson}, year = {2004}, title = {Universal quantum circuit for two-qubit transformations with three controlled-NOT gates}, journal = {Physical Review A}, volume = {69}, number = {1}, pages = {010301}, doi = {10.1103/PhysRevA.69.010301}, ) @article(vilmart2018near, author = {Renaud Vilmart}, year = {2018}, title = {A Near-Optimal Axiomatisation of ZX-Calculus for Pure Qubit Quantum Mechanics}, journal = {arXiv preprint 1812.09114}, )