Programmable higher-order nonequilibrium topological phases on a superconducting quantum processor
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.
Authors
- Yu Xu (ORCID: https://orcid.org/0000-0002-2672-5910)
- Futian Liang (ORCID: https://orcid.org/0000-0001-9843-0559)
- Cheng-Zhi Peng (ORCID: https://orcid.org/0000-0002-4753-5243)
- Jing Lin (ORCID: https://orcid.org/0000-0002-4405-134X)
- Chao‐Yang Lu (ORCID: https://orcid.org/0000-0002-8227-9177)
- Xiaobo Zhu (ORCID: https://orcid.org/0000-0001-5974-9452)
- Jian-Wei Pan (ORCID: https://orcid.org/0000-0002-6100-5142)
- Ming Gong (ORCID: https://orcid.org/0000-0002-5534-2177)
- Feifan Su
- Chong Ying (ORCID: https://orcid.org/0000-0002-1769-4905)
- He-Liang Huang (ORCID: https://orcid.org/0000-0002-5121-3028)
- Hui Deng (ORCID: https://orcid.org/0000-0003-0629-3230)
- Jia-Hui Zhang (ORCID: https://orcid.org/0000-0003-2546-0356)
- Kai Yan (ORCID: https://orcid.org/0000-0002-5168-7338)
- Yong-Heng Huo (ORCID: https://orcid.org/0000-0002-0310-3078)
- Yangsen Ye (ORCID: https://orcid.org/0000-0003-1941-9170)
- Cheng Guo (ORCID: https://orcid.org/0000-0003-1185-4805)
- Dengxin Fan (ORCID: https://orcid.org/0000-0001-7174-2704)
- Na Li (ORCID: https://orcid.org/0000-0001-5262-7524)
- Chen Zha (ORCID: https://orcid.org/0000-0003-4317-9074)
- Feng Mei (ORCID: https://orcid.org/0000-0001-8773-4776)
- Yulin Wu (ORCID: https://orcid.org/0000-0001-5353-0329)
- Yuan Li (ORCID: https://orcid.org/0009-0009-4147-1435)
- Gang Wu (ORCID: https://orcid.org/0000-0002-0055-0200)
- Kaili Zhang (ORCID: https://orcid.org/0000-0002-0761-1272)
- Shaowei Li (ORCID: https://orcid.org/0000-0002-3374-1038)
- Fusheng Chen (ORCID: https://orcid.org/0000-0001-8525-4154)
- Hao Rong (ORCID: https://orcid.org/0000-0002-4201-6663)
- Qingling Zhu (ORCID: https://orcid.org/0000-0002-0925-9903)
- Jiale Yu (ORCID: https://orcid.org/0009-0005-4039-2218)
- Shaojun Guo (ORCID: https://orcid.org/0009-0001-3068-2335)
- Hong Su (ORCID: https://orcid.org/0009-0007-2507-9076)
- Sirui Cao (ORCID: https://orcid.org/0000-0003-2283-2628)
- Tung-Hsun Chung
- Dachao Wu
- Youwei Zhao (ORCID: https://orcid.org/0009-0001-6249-3248)
- Haoran Qian (ORCID: https://orcid.org/0009-0001-0928-6776)
Institutions
- University of Science and Technology of China (CN)
- Shanxi University (CN)
- Hefei National Center for Physical Sciences at Nanoscale (CN)
- Jinan Institute of Quantum Technology (CN)
Publication Details
- Journal
- Science
- Published
- 2025-11-27
- DOI
- https://doi.org/10.1126/science.adp6802
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.00