Observation of minimal and maximal speed limits for few and many-body states
Abstract Tracking the time evolution of a quantum state allows one to verify the thermalization rate or the propagation speed of correlations in generic quantum systems. Inspired by the energy-time uncertainty principle, bounds have been demonstrated on the maximal speed at which a quantum state can...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-02-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-025-56451-3 |
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| author | Zitian Zhu Lei Gao Zehang Bao Liang Xiang Zixuan Song Shibo Xu Ke Wang Jiachen Chen Feitong Jin Xuhao Zhu Yu Gao Yaozu Wu Chuanyu Zhang Ning Wang Yiren Zou Ziqi Tan Aosai Zhang Zhengyi Cui Fanhao Shen Jiarun Zhong Tingting Li Jinfeng Deng Xu Zhang Hang Dong Pengfei Zhang Zhen Wang Chao Song Chen Cheng Qiujiang Guo Hekang Li H. Wang Hai-Qing Lin Rubem Mondaini |
| author_facet | Zitian Zhu Lei Gao Zehang Bao Liang Xiang Zixuan Song Shibo Xu Ke Wang Jiachen Chen Feitong Jin Xuhao Zhu Yu Gao Yaozu Wu Chuanyu Zhang Ning Wang Yiren Zou Ziqi Tan Aosai Zhang Zhengyi Cui Fanhao Shen Jiarun Zhong Tingting Li Jinfeng Deng Xu Zhang Hang Dong Pengfei Zhang Zhen Wang Chao Song Chen Cheng Qiujiang Guo Hekang Li H. Wang Hai-Qing Lin Rubem Mondaini |
| author_sort | Zitian Zhu |
| collection | DOAJ |
| description | Abstract Tracking the time evolution of a quantum state allows one to verify the thermalization rate or the propagation speed of correlations in generic quantum systems. Inspired by the energy-time uncertainty principle, bounds have been demonstrated on the maximal speed at which a quantum state can change, resulting in immediate and practical tasks. Based on a programmable superconducting quantum processor, we test the dynamics of various emulated quantum mechanical systems encompassing single- and many-body states. We show that one can test the known quantum speed limits and that modifying a single Hamiltonian parameter allows the observation of the crossover of the different bounds on the dynamics. We also unveil the observation of minimal quantum speed limits in addition to more common maximal ones, i.e., the lowest rate of change of a unitarily evolved quantum state. Our results show a comprehensive experimental characterization of quantum speed limits and enhance the understanding for their subsequent study in engineered non-unitary conditions. |
| format | Article |
| id | doaj-art-0bf915be93504cc8ae826aa954b6bed3 |
| institution | Kabale University |
| issn | 2041-1723 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-0bf915be93504cc8ae826aa954b6bed32025-02-02T12:33:06ZengNature PortfolioNature Communications2041-17232025-02-011611910.1038/s41467-025-56451-3Observation of minimal and maximal speed limits for few and many-body statesZitian Zhu0Lei Gao1Zehang Bao2Liang Xiang3Zixuan Song4Shibo Xu5Ke Wang6Jiachen Chen7Feitong Jin8Xuhao Zhu9Yu Gao10Yaozu Wu11Chuanyu Zhang12Ning Wang13Yiren Zou14Ziqi Tan15Aosai Zhang16Zhengyi Cui17Fanhao Shen18Jiarun Zhong19Tingting Li20Jinfeng Deng21Xu Zhang22Hang Dong23Pengfei Zhang24Zhen Wang25Chao Song26Chen Cheng27Qiujiang Guo28Hekang Li29H. Wang30Hai-Qing Lin31Rubem Mondaini32School of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversityBeijing Computational Science Research CenterSchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversityKey Laboratory of Quantum Theory and Applications of MoE, Lanzhou Center for Theoretical Physics, and Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversitySchool of Physics, Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang UniversityDepartment of Physics, University of HoustonAbstract Tracking the time evolution of a quantum state allows one to verify the thermalization rate or the propagation speed of correlations in generic quantum systems. Inspired by the energy-time uncertainty principle, bounds have been demonstrated on the maximal speed at which a quantum state can change, resulting in immediate and practical tasks. Based on a programmable superconducting quantum processor, we test the dynamics of various emulated quantum mechanical systems encompassing single- and many-body states. We show that one can test the known quantum speed limits and that modifying a single Hamiltonian parameter allows the observation of the crossover of the different bounds on the dynamics. We also unveil the observation of minimal quantum speed limits in addition to more common maximal ones, i.e., the lowest rate of change of a unitarily evolved quantum state. Our results show a comprehensive experimental characterization of quantum speed limits and enhance the understanding for their subsequent study in engineered non-unitary conditions.https://doi.org/10.1038/s41467-025-56451-3 |
| spellingShingle | Zitian Zhu Lei Gao Zehang Bao Liang Xiang Zixuan Song Shibo Xu Ke Wang Jiachen Chen Feitong Jin Xuhao Zhu Yu Gao Yaozu Wu Chuanyu Zhang Ning Wang Yiren Zou Ziqi Tan Aosai Zhang Zhengyi Cui Fanhao Shen Jiarun Zhong Tingting Li Jinfeng Deng Xu Zhang Hang Dong Pengfei Zhang Zhen Wang Chao Song Chen Cheng Qiujiang Guo Hekang Li H. Wang Hai-Qing Lin Rubem Mondaini Observation of minimal and maximal speed limits for few and many-body states Nature Communications |
| title | Observation of minimal and maximal speed limits for few and many-body states |
| title_full | Observation of minimal and maximal speed limits for few and many-body states |
| title_fullStr | Observation of minimal and maximal speed limits for few and many-body states |
| title_full_unstemmed | Observation of minimal and maximal speed limits for few and many-body states |
| title_short | Observation of minimal and maximal speed limits for few and many-body states |
| title_sort | observation of minimal and maximal speed limits for few and many body states |
| url | https://doi.org/10.1038/s41467-025-56451-3 |
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