Buildings for Synthesis with Clifford+R

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 the Clifford+R gate set.

Publication Details

Journal
arXiv (Cornell University)
Published
2025-10-13
Primary Topic
Historical Studies on Reproduction, Gender, Health, and Societal Changes
Type
article
Field-Weighted Citation Impact
0.00

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article

Buildings for Synthesis with Clifford+R

arXiv (Cornell University)
Historical Studies on Reproduction, Gender, Health, and Societal Changes
article

Buildings for Synthesis with Clifford+R

article en

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 the Clifford+R gate set.

arXiv (Cornell University)
Innovation, Science and Economic Development Canada, Royal Bank of Canada, Government of Canada, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Institut Périmètre de physique théorique, Natural Sciences and Engineering Research Council of Canada
Sustainable cities and communities
Openalex Percentile: Top 42%
Historical Studies on Reproduction, Gender, Health, and Societal Changes
Open Access PDFOpenAlex
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Buildings for Synthesis with Clifford+R · arXiv (Cornell University) (2025) | TGRS Research Map | TGRS