Buildings for Synthesis with Clifford+R
arXiv:2510.11526
summary
The paper analyzes exact synthesis of quantum circuits using the Clifford+R gate set and describes the structure of the associated Bruhat‑Tits building, providing an alternative proof of its arithmetic properties.
Abstract
We study the problem of exact synthesis for the Clifford+R gate set and give the explicit structure of the underlying Bruhat-Tits building for this group. In this process, we also give an alternative proof of the arithmetic nature of this gate set.
12 page version submitted to QPL 2026
Topics & keywords
#exact synthesis#clifford+r#bruhat-tits building#quantum gates#arithmetic groupsClifford+Rexact synthesisBruhat-Tits buildingarithmetic naturequantum circuit synthesis