ReferencesΒΆ

[AAM17]Matthew Amy, Parsiad Azimzadeh, and Michele Mosca. On the CNOT-complexity of CNOT-phase circuits. arXiv preprint arXiv:1712.01859, 2017. URL: https://arxiv.org/abs/1712.01859.
[AMMR13]Matthew Amy, Dmitri Maslov, Michele Mosca, and Martin Roetteler. A meet-in-the-middle algorithm for fast synthesis of depth-optimal quantum circuits. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 32(6):818–830, 2013. URL: https://ieeexplore.ieee.org/abstract/document/6516700.
[DVVR08]Alexis De Vos and Yvan Van Rentergem. Young subgroups for reversible computers. Advances in Mathematics of Communications, 2(2):183–200, 2008. URL: http://dx.doi.org/10.3934/amc.2008.2.183, doi:10.3934/amc.2008.2.183.
[Mas16]Dmitri Maslov. Advantages of using relative-phase toffoli gates with an application to multiple control toffoli optimization. Physical Review A, 93(2):022311, 2016. URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.022311.
[PMH08]Ketan N. Patel, Igor L. Markov, and John P. Hayes. Optimal synthesis of linear reversible circuits. Quantum Information & Computation, 8(3):282–294, 2008. URL: http://www.rintonpress.com/xxqic8/qic-8-34/0282-0294.pdf.