English

Generators and Relations for 2-Qubit Clifford+T Operators

Quantum Physics 2023-11-16 v3

Abstract

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.

Cite

@article{arxiv.2204.02217,
  title  = {Generators and Relations for 2-Qubit Clifford+T Operators},
  author = {Xiaoning Bian and Peter Selinger},
  journal= {arXiv preprint arXiv:2204.02217},
  year   = {2023}
}

Comments

In Proceedings QPL 2022, arXiv:2311.08375

R2 v1 2026-06-24T10:38:30.578Z