Toponomic quantum computation

geometric phases; Holonomic quantum computation; quantum gates; Wilczek-Zee; Nuclear and High Energy Physics; Astronomy and Astrophysics; Physics and Astronomy (all)

Abstract :

[en] Holonomic quantum computation makes use of non-abelian geometric phases, associated to the evolution of a subspace of quantum states, to encode logical gates. We identify a special class of subspaces, for which a sequence of rotations results in a non-abelian holonomy of a topological nature, so that it is invariant under any SO(3)-perturbation. Making use of a Majorana-like stellar representation for subspaces, we give explicit examples of topological-holonomic (or toponomic) NOT and CNOT gates.

Disciplines :

Physics

Author, co-author :

Chryssomalakos, C.; Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Ciudad de México, Mexico

Hanotel, L.; Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Ciudad de México, Mexico

Guzmán-González, E.; Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Ciudad de México, Mexico

Serrano Ensástiga, Eduardo ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM) ; Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México, Ensenada, Mexico

Language :

English

Title :

Toponomic quantum computation

Publication date :

07 September 2022

Journal title :

Modern Physics Letters A

ISSN :

0217-7323

Publisher :

World Scientific

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://www.worldscientific.com/doi/pdf/10.1142/S021773232250184X

Funders :

UNAM - Universidad Nacional Autónoma de México
CONACYT - Consejo Nacional de Ciencia y Tecnología

Available on ORBi :

since 22 December 2025

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