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Programmable higher-order nonequilibrium topological phases on a superconducting quantum processor.

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Title: Programmable higher-order nonequilibrium topological phases on a superconducting quantum processor.
Authors: Qian, Haoran (AUTHOR), Gong, Ming (AUTHOR), Zhang, Jiahui (AUTHOR), Guo, Shaojun (AUTHOR), Zha, Chen (AUTHOR), Chen, Fusheng (AUTHOR), Ye, Yangsen (AUTHOR), Wu, Yulin (AUTHOR), Cao, Sirui (AUTHOR), Ying, Chong (AUTHOR), Zhu, Qingling (AUTHOR), Huang, He-Liang (AUTHOR), Zhao, Youwei (AUTHOR), Li, ShaoWei (AUTHOR), Yu, Jiale (AUTHOR), Fan, Daojin (AUTHOR), Wu, Dachao (AUTHOR), Su, Hong (AUTHOR), Deng, Hui (AUTHOR), Rong, Hao (AUTHOR)
Source: Science. 11/27/2025, Vol. 390 Issue 6776, p930-934. 5p.
Subjects: Quantum computing, Topological property, Quantum information science, Topological dynamics, Nonequilibrium thermodynamics, Floquet theory
Abstract: Topological phases of matter are of both fundamental and practical interest. In this study, we implemented both equilibrium and nonequilibrium higher-order topological phases using a two-dimensional programmable superconducting quantum processor. Quantum programming of nonequilibrium higher-order topological phases was achieved by constructing quantum circuits comprising >50 cycles of Floquet operators on a six-by-six qubit array. Additionally, we introduce a universal approach based on measuring the dynamics of chiral density to identify distinct nonequilibrium higher-order topological features, including Floquet corner topological invariants and π-energy topological corner modes. Our work may enable the use of programmable quantum processors to explore exotic higher-order nonequilibrium topological phases of matter. Editor's summary: Topological systems typically host boundary states on their edge. A two-dimensional topological insulator, for instance, has a one-dimensional topological boundary state. Recently identified higher-order topological phases can have boundary states with a dimensionality that differs by more than one from the original system. However, creating such states in a quantum system is tricky. Qian et al. realized both equilibrium and nonequilibrium second-order topological phases using a two-dimensional superconducting quantum processor. The researchers were able to observe signatures of the characteristic topological corner modes. —Jelena Stajic [ABSTRACT FROM AUTHOR]
Copyright of Science is the property of American Association for the Advancement of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Psychology and Behavioral Sciences Collection
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  Data: Programmable higher-order nonequilibrium topological phases on a superconducting quantum processor.
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  Data: <searchLink fieldCode="AR" term="%22Qian%2C+Haoran%22">Qian, Haoran</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Gong%2C+Ming%22">Gong, Ming</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Jiahui%22">Zhang, Jiahui</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Guo%2C+Shaojun%22">Guo, Shaojun</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zha%2C+Chen%22">Zha, Chen</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Chen%2C+Fusheng%22">Chen, Fusheng</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ye%2C+Yangsen%22">Ye, Yangsen</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wu%2C+Yulin%22">Wu, Yulin</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Cao%2C+Sirui%22">Cao, Sirui</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ying%2C+Chong%22">Ying, Chong</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhu%2C+Qingling%22">Zhu, Qingling</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Huang%2C+He-Liang%22">Huang, He-Liang</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhao%2C+Youwei%22">Zhao, Youwei</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+ShaoWei%22">Li, ShaoWei</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yu%2C+Jiale%22">Yu, Jiale</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Fan%2C+Daojin%22">Fan, Daojin</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wu%2C+Dachao%22">Wu, Dachao</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Su%2C+Hong%22">Su, Hong</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Deng%2C+Hui%22">Deng, Hui</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Rong%2C+Hao%22">Rong, Hao</searchLink> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Science%22">Science</searchLink>. 11/27/2025, Vol. 390 Issue 6776, p930-934. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Quantum+computing%22">Quantum computing</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+property%22">Topological property</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+information+science%22">Quantum information science</searchLink><br /><searchLink fieldCode="DE" term="%22Topological+dynamics%22">Topological dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Nonequilibrium+thermodynamics%22">Nonequilibrium thermodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Floquet+theory%22">Floquet theory</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Topological phases of matter are of both fundamental and practical interest. In this study, we implemented both equilibrium and nonequilibrium higher-order topological phases using a two-dimensional programmable superconducting quantum processor. Quantum programming of nonequilibrium higher-order topological phases was achieved by constructing quantum circuits comprising >50 cycles of Floquet operators on a six-by-six qubit array. Additionally, we introduce a universal approach based on measuring the dynamics of chiral density to identify distinct nonequilibrium higher-order topological features, including Floquet corner topological invariants and π-energy topological corner modes. Our work may enable the use of programmable quantum processors to explore exotic higher-order nonequilibrium topological phases of matter. Editor's summary: Topological systems typically host boundary states on their edge. A two-dimensional topological insulator, for instance, has a one-dimensional topological boundary state. Recently identified higher-order topological phases can have boundary states with a dimensionality that differs by more than one from the original system. However, creating such states in a quantum system is tricky. Qian et al. realized both equilibrium and nonequilibrium second-order topological phases using a two-dimensional superconducting quantum processor. The researchers were able to observe signatures of the characteristic topological corner modes. —Jelena Stajic [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Science is the property of American Association for the Advancement of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1126/science.adp6802
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        Text: English
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        Type: general
      – SubjectFull: Topological property
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      – SubjectFull: Quantum information science
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      – SubjectFull: Nonequilibrium thermodynamics
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      – SubjectFull: Floquet theory
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