Experimental verification of the inertial theorem control protocols
An experiment based on a trapped ytterbium ion validates the inertial theorem for the SU (2) algebra. The qubit is encoded within the hyperfine states of the atom and controlled by RF fields. The inertial theorem generates analytical solutions for non-adiabatically driven systems that are ‘accelerat...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac2710 |
| _version_ | 1797749974128132096 |
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| author | Chang-Kang Hu Roie Dann Jin-Ming Cui Yun-Feng Huang Chuan-Feng Li Guang-Can Guo Alan C. Santos Ronnie Kosloff |
| author_facet | Chang-Kang Hu Roie Dann Jin-Ming Cui Yun-Feng Huang Chuan-Feng Li Guang-Can Guo Alan C. Santos Ronnie Kosloff |
| author_sort | Chang-Kang Hu |
| collection | DOAJ |
| description | An experiment based on a trapped ytterbium ion validates the inertial theorem for the SU (2) algebra. The qubit is encoded within the hyperfine states of the atom and controlled by RF fields. The inertial theorem generates analytical solutions for non-adiabatically driven systems that are ‘accelerated’ slowly, bridging the gap between the sudden and adiabatic limits. These solutions are shown to be stable to small deviations, both experimentally and theoretically. By encoding a two-level system into hyperphine structure of a trapped ytterbium, we explore the high control over the system dynamics in order to validate range of applicability of the inertial theorem in our system. For large deviations from the inertial condition, the experimental results show that the phase remains accurate while the amplitude diverges, so the inertial theorem has good robustness in the phase estimate. As a result, we experimentally showed that the inertial solutions pave the way to rapid quantum control of closed, as well as open quantum systems. |
| first_indexed | 2024-03-12T16:26:16Z |
| format | Article |
| id | doaj.art-3c176653925f4cf6a1e57977f4c37758 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:26:16Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-3c176653925f4cf6a1e57977f4c377582023-08-08T15:41:49ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123909304810.1088/1367-2630/ac2710Experimental verification of the inertial theorem control protocolsChang-Kang Hu0Roie Dann1https://orcid.org/0000-0002-8883-790XJin-Ming Cui2https://orcid.org/0000-0002-5785-4248Yun-Feng Huang3Chuan-Feng Li4https://orcid.org/0000-0001-6815-8929Guang-Can Guo5Alan C. Santos6https://orcid.org/0000-0002-6989-7958Ronnie Kosloff7https://orcid.org/0000-0001-6201-2523CAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of China; CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei 230026, People’s Republic of ChinaThe Institute of Chemistry, The Hebrew University of Jerusalem , Jerusalem 9190401, Israel; Kavli Institute for Theoretical Physics, University of California , Santa Barbara, CA 93106, United States of AmericaCAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of China; CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei 230026, People’s Republic of ChinaCAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of China; CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei 230026, People’s Republic of ChinaCAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of China; CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei 230026, People’s Republic of ChinaCAS Key Laboratory of Quantum Information, University of Science and Technology of China , Hefei 230026, People’s Republic of China; CAS Center For Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China , Hefei 230026, People’s Republic of ChinaInstituto de Física, Universidade Federal Fluminense , Av. Gal. Milton Tavares de Souza s/n, Gragoatá, 24210-346 Niterói, Rio de Janeiro, Brazil; Departamento de Física, Universidade Federal de São Carlos , Rodovia Washington Luís, km 235 - SP-310, 13565-905 São Carlos, SP, BrazilThe Institute of Chemistry, The Hebrew University of Jerusalem , Jerusalem 9190401, Israel; Kavli Institute for Theoretical Physics, University of California , Santa Barbara, CA 93106, United States of AmericaAn experiment based on a trapped ytterbium ion validates the inertial theorem for the SU (2) algebra. The qubit is encoded within the hyperfine states of the atom and controlled by RF fields. The inertial theorem generates analytical solutions for non-adiabatically driven systems that are ‘accelerated’ slowly, bridging the gap between the sudden and adiabatic limits. These solutions are shown to be stable to small deviations, both experimentally and theoretically. By encoding a two-level system into hyperphine structure of a trapped ytterbium, we explore the high control over the system dynamics in order to validate range of applicability of the inertial theorem in our system. For large deviations from the inertial condition, the experimental results show that the phase remains accurate while the amplitude diverges, so the inertial theorem has good robustness in the phase estimate. As a result, we experimentally showed that the inertial solutions pave the way to rapid quantum control of closed, as well as open quantum systems.https://doi.org/10.1088/1367-2630/ac2710quantum controlinertial theoremtrapped ytterbium |
| spellingShingle | Chang-Kang Hu Roie Dann Jin-Ming Cui Yun-Feng Huang Chuan-Feng Li Guang-Can Guo Alan C. Santos Ronnie Kosloff Experimental verification of the inertial theorem control protocols New Journal of Physics quantum control inertial theorem trapped ytterbium |
| title | Experimental verification of the inertial theorem control protocols |
| title_full | Experimental verification of the inertial theorem control protocols |
| title_fullStr | Experimental verification of the inertial theorem control protocols |
| title_full_unstemmed | Experimental verification of the inertial theorem control protocols |
| title_short | Experimental verification of the inertial theorem control protocols |
| title_sort | experimental verification of the inertial theorem control protocols |
| topic | quantum control inertial theorem trapped ytterbium |
| url | https://doi.org/10.1088/1367-2630/ac2710 |
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