The Geometry of Quantum Computing

Authors: E. Ercolessi, R. Fioresi, T. Weber

International Journal of Geometric Methods in Modern Physics (2024) 2440011
arXiv: 2312.14807v1 - DOI (quant-ph)
License: CC BY 4.0

Abstract: In this expository paper we present a brief introduction to the geometrical modeling of some quantum computing problems. After a brief introduction to establish the terminology, we focus on quantum information geometry and ZX-calculus, establishing a connection between quantum computing questions and quantum groups, i.e. Hopf algebras.

Submitted to arXiv on 22 Dec. 2023

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