Holonomic quantum computation: a scalable adiabatic architecture

Fuente: arXiv
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Autores principales: Wassner, Clara, Guaita, Tommaso, Eisert, Jens, Carrasco, Jose
Formato: Preprint
Publicado: 2025
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author Wassner, Clara
Guaita, Tommaso
Eisert, Jens
Carrasco, Jose
author_facet Wassner, Clara
Guaita, Tommaso
Eisert, Jens
Carrasco, Jose
contents Holonomic quantum computation exploits the geometric evolution of eigenspaces of a degenerate Hamiltonian to implement unitary evolution of computational states. In this work we introduce a framework for performing scalable quantum computation in atom experiments through a universal set of fully holonomic adiabatic gates. Through a detailed differential geometric analysis, we elucidate the geometric nature of these gates and their inherent robustness against classical control errors and other noise sources. The concepts that we introduce here are expected to be widely applicable to the understanding and design of error robustness in generic holonomic protocols. To underscore the practical feasibility of our approach, we contextualize our gate design within recent advancements in Rydberg-based quantum computing and simulation.
format Preprint
id arxiv_https___arxiv_org_abs_2502_17188
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Holonomic quantum computation: a scalable adiabatic architecture
Wassner, Clara
Guaita, Tommaso
Eisert, Jens
Carrasco, Jose
Quantum Physics
Holonomic quantum computation exploits the geometric evolution of eigenspaces of a degenerate Hamiltonian to implement unitary evolution of computational states. In this work we introduce a framework for performing scalable quantum computation in atom experiments through a universal set of fully holonomic adiabatic gates. Through a detailed differential geometric analysis, we elucidate the geometric nature of these gates and their inherent robustness against classical control errors and other noise sources. The concepts that we introduce here are expected to be widely applicable to the understanding and design of error robustness in generic holonomic protocols. To underscore the practical feasibility of our approach, we contextualize our gate design within recent advancements in Rydberg-based quantum computing and simulation.
title Holonomic quantum computation: a scalable adiabatic architecture
topic Quantum Physics
url https://arxiv.org/abs/2502.17188