Generators and Relations for 2-Qubit Clifford+T Operators

Xiaoning Bian
(Dalhousie University)
Peter Selinger
(Dalhousie University)

We give a presentation by generators and relations of the group of Clifford+T operators on two qubits. The proof relies on an application of the Reidemeister-Schreier theorem to an earlier result of Greylyn, and has been formally verified in the proof assistant Agda.

In Stefano Gogioso and Matty Hoban: Proceedings 19th International Conference on Quantum Physics and Logic (QPL 2022), Wolfson College, Oxford, UK, 27 June - 1 July 2022, Electronic Proceedings in Theoretical Computer Science 394, pp. 13–28.
Published: 16th November 2023.

ArXived at: https://dx.doi.org/10.4204/EPTCS.394.2 Ancillary files bibtex PDF
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