@article(Ross-Glaudell-Amy,
author = {Matthew Amy and Andrew N. Glaudell and Neil J. Ross},
year = {2020},
title = {Number-theoretic characterizations of some restricted {Clifford+$T$} circuits},
journal = {Quantum},
volume = {4},
pages = {252},
doi = {10.22331/q-2020-04-06-252},
note = {Also available from \href{http://arxiv.org/abs/1908.06076}{arXiv:1908.06076}},
)
@article(AM-2019,
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},
note = {{Also available from \href{http://arxiv.org/abs/1601.07363}{arXiv:1601.07363}}},
)
@inproceedings(debeaudrap2020fast,
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)},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
volume = {158},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
pages = {11:1--11:23},
doi = {10.4230/LIPIcs.TQC.2020.11},
note = {Also available from \href{http://arxiv.org/abs/2004.05164}{arXiv:2004.05164}},
)
@inproceedings(de_Beaudrap_2020,
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},
booktitle = {Proceedings of the 16th International Conference on Quantum Physics and Logic, QPL 2019},
series = {Electronic Proceedings in Theoretical Computer Science},
volume = {318},
pages = {131\IeC{\textendash}149},
doi = {10.4204/eptcs.318.9},
note = {Also available from \href{http://arxiv.org/abs/1911.09039}{arXiv:1911.09039}},
)
@article(Giles-Selinger,
author = {Brett Giles and Peter Selinger},
year = {2013},
title = {Exact synthesis of multiqubit {Clifford+$T$} circuits},
journal = {Physical Review A},
volume = {87},
pages = {032332 (7 pages)},
doi = {10.1103/PhysRevA.87.032332},
note = {Also available from \href{http://arxiv.org/abs/1212.0506}{arXiv:1212.0506}},
)
@phdthesis(Greylyn,
author = {Seth E. M. Greylyn},
year = {2014},
title = {Generators and relations for the group {$U_4(\mathbb{Z}[\frac{1}{\sqrt{2}},i])$}},
type = {{M.Sc.\spacefactor\@m {} thesis}},
school = {Dalhousie University},
note = {Available from \href{http://arxiv.org/abs/1408.6204}{arXiv:1408.6204}},
)
@article(HC-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},
note = {Also available from {http://arxiv.org/abs/1712.01557}{arXiv:1712.01557}},
)
@book(ant-book,
author = {Kenneth Ireland and Michael Rosen},
year = {1982},
title = {A Classical Introduction to Modern Number Theory},
series = {Graduate Texts in Mathematics 84},
publisher = {Springer},
doi = {10.1007/978-1-4757-2103-4},
)
@article(Kissinger-Wetering,
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},
)
@inproceedings(Li-Ross-Selinger,
author = {Sarah Meng Li and Neil J. Ross and Peter Selinger},
year = {2021},
title = {Generators and relations for the group {$O_n({\mathbb Z}[1/2])$}},
booktitle = {Proceedings of the 18th International Conference on Quantum Physics and Logic, QPL 2021},
series = {Electronic Proceedings in Theoretical Computer Science},
note = {Also available from {http://arxiv.org/abs/2106.01175}{arXiv:2106.01175}},
)
@article(Nam_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},
doi = {10.1038/s41534-018-0072-4},
note = {Also available from {http://arxiv.org/abs/1710.07345}{arXiv:1710.07345}},
)
@unpublished(ZhangCheng19,
author = {Fang {Zhang} and Jianxin {Chen}},
year = {2019},
title = {Optimizing {$T$} gates in {Clifford+$T$} circuit as $\pi/4$ rotations around {Paulis}},
note = {{Available from {http://arxiv.org/abs/1903.12456}{arXiv:1903.12456}}},
)