Riemann zeros from Floquet engineering a trapped-ion qubit

Abstract The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos for decades. Here we present an expe...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Ran He, Ming-Zhong Ai, Jin-Ming Cui, Yun-Feng Huang, Yong-Jian Han, Chuan-Feng Li, Guang-Can Guo, G. Sierra, C. E. Creffield
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/2ec8fecff0b64b04bfa5c5fbc0e48646
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:2ec8fecff0b64b04bfa5c5fbc0e48646
record_format	dspace
spelling	oai:doaj.org-article:2ec8fecff0b64b04bfa5c5fbc0e486462021-12-02T18:30:50ZRiemann zeros from Floquet engineering a trapped-ion qubit10.1038/s41534-021-00446-72056-6387https://doaj.org/article/2ec8fecff0b64b04bfa5c5fbc0e486462021-07-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00446-7https://doaj.org/toc/2056-6387Abstract The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos for decades. Here we present an experimental observation of the lowest non-trivial Riemann zeros by using a trapped-ion qubit in a Paul trap, periodically driven with microwave fields. The waveform of the driving is engineered such that the dynamics of the ion is frozen when the driving parameters coincide with a zero of the real component of the zeta function. Scanning over the driving amplitude thus enables the locations of the Riemann zeros to be measured experimentally to a high degree of accuracy, providing a physical embodiment of these fascinating mathematical objects in the quantum realm.Ran HeMing-Zhong AiJin-Ming CuiYun-Feng HuangYong-Jian HanChuan-Feng LiGuang-Can GuoG. SierraC. E. CreffieldNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Ran He Ming-Zhong Ai Jin-Ming Cui Yun-Feng Huang Yong-Jian Han Chuan-Feng Li Guang-Can Guo G. Sierra C. E. Creffield Riemann zeros from Floquet engineering a trapped-ion qubit
description	Abstract The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos for decades. Here we present an experimental observation of the lowest non-trivial Riemann zeros by using a trapped-ion qubit in a Paul trap, periodically driven with microwave fields. The waveform of the driving is engineered such that the dynamics of the ion is frozen when the driving parameters coincide with a zero of the real component of the zeta function. Scanning over the driving amplitude thus enables the locations of the Riemann zeros to be measured experimentally to a high degree of accuracy, providing a physical embodiment of these fascinating mathematical objects in the quantum realm.
format	article
author	Ran He Ming-Zhong Ai Jin-Ming Cui Yun-Feng Huang Yong-Jian Han Chuan-Feng Li Guang-Can Guo G. Sierra C. E. Creffield
author_facet	Ran He Ming-Zhong Ai Jin-Ming Cui Yun-Feng Huang Yong-Jian Han Chuan-Feng Li Guang-Can Guo G. Sierra C. E. Creffield
author_sort	Ran He
title	Riemann zeros from Floquet engineering a trapped-ion qubit
title_short	Riemann zeros from Floquet engineering a trapped-ion qubit
title_full	Riemann zeros from Floquet engineering a trapped-ion qubit
title_fullStr	Riemann zeros from Floquet engineering a trapped-ion qubit
title_full_unstemmed	Riemann zeros from Floquet engineering a trapped-ion qubit
title_sort	riemann zeros from floquet engineering a trapped-ion qubit
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/2ec8fecff0b64b04bfa5c5fbc0e48646
work_keys_str_mv	AT ranhe riemannzerosfromfloquetengineeringatrappedionqubit AT mingzhongai riemannzerosfromfloquetengineeringatrappedionqubit AT jinmingcui riemannzerosfromfloquetengineeringatrappedionqubit AT yunfenghuang riemannzerosfromfloquetengineeringatrappedionqubit AT yongjianhan riemannzerosfromfloquetengineeringatrappedionqubit AT chuanfengli riemannzerosfromfloquetengineeringatrappedionqubit AT guangcanguo riemannzerosfromfloquetengineeringatrappedionqubit AT gsierra riemannzerosfromfloquetengineeringatrappedionqubit AT cecreffield riemannzerosfromfloquetengineeringatrappedionqubit
_version_	1718377967460024320

Riemann zeros from Floquet engineering a trapped-ion qubit

Ejemplares similares