Nature Communications (Oct 2024)
Long-lived topological time-crystalline order on a quantum processor
- Liang Xiang,
- Wenjie Jiang,
- Zehang Bao,
- Zixuan Song,
- Shibo Xu,
- Ke Wang,
- Jiachen Chen,
- Feitong Jin,
- Xuhao Zhu,
- Zitian Zhu,
- Fanhao Shen,
- Ning Wang,
- Chuanyu Zhang,
- Yaozu Wu,
- Yiren Zou,
- Jiarun Zhong,
- Zhengyi Cui,
- Aosai Zhang,
- Ziqi Tan,
- Tingting Li,
- Yu Gao,
- Jinfeng Deng,
- Xu Zhang,
- Hang Dong,
- Pengfei Zhang,
- Si Jiang,
- Weikang Li,
- Zhide Lu,
- Zheng-Zhi Sun,
- Hekang Li,
- Zhen Wang,
- Chao Song,
- Qiujiang Guo,
- Fangli Liu,
- Zhe-Xuan Gong,
- Alexey V. Gorshkov,
- Norman Y. Yao,
- Thomas Iadecola,
- Francisco Machado,
- H. Wang,
- Dong-Ling Deng
Affiliations
- Liang Xiang
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Wenjie Jiang
- Center for Quantum Information, IIIS, Tsinghua University
- Zehang Bao
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Zixuan Song
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Shibo Xu
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Ke Wang
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Jiachen Chen
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Feitong Jin
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Xuhao Zhu
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Zitian Zhu
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Fanhao Shen
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Ning Wang
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Chuanyu Zhang
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Yaozu Wu
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Yiren Zou
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Jiarun Zhong
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Zhengyi Cui
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Aosai Zhang
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Ziqi Tan
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Tingting Li
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Yu Gao
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Jinfeng Deng
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Xu Zhang
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Hang Dong
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Pengfei Zhang
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Si Jiang
- Center for Quantum Information, IIIS, Tsinghua University
- Weikang Li
- Center for Quantum Information, IIIS, Tsinghua University
- Zhide Lu
- Center for Quantum Information, IIIS, Tsinghua University
- Zheng-Zhi Sun
- Center for Quantum Information, IIIS, Tsinghua University
- Hekang Li
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Zhen Wang
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Chao Song
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Qiujiang Guo
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Fangli Liu
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST and University of Maryland
- Zhe-Xuan Gong
- Department of Physics, Colorado School of Mines
- Alexey V. Gorshkov
- Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST and University of Maryland
- Norman Y. Yao
- Department of Physics, Harvard University
- Thomas Iadecola
- Department of Physics and Astronomy, Iowa State University
- Francisco Machado
- Department of Physics, Harvard University
- H. Wang
- School of Physics, ZJU-Hangzhou Global Scientific and Technological Innovation Center, and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control
- Dong-Ling Deng
- Center for Quantum Information, IIIS, Tsinghua University
- DOI
- https://doi.org/10.1038/s41467-024-53077-9
- Journal volume & issue
-
Vol. 15,
no. 1
pp. 1 – 9
Abstract
Abstract Topologically ordered phases of matter elude Landau’s symmetry-breaking theory, featuring a variety of intriguing properties such as long-range entanglement and intrinsic robustness against local perturbations. Their extension to periodically driven systems gives rise to exotic new phenomena that are forbidden in thermal equilibrium. Here, we report the observation of signatures of such a phenomenon—a prethermal topologically ordered time crystal—with programmable superconducting qubits arranged on a square lattice. By periodically driving the superconducting qubits with a surface code Hamiltonian, we observe discrete time-translation symmetry breaking dynamics that is only manifested in the subharmonic temporal response of nonlocal logical operators. We further connect the observed dynamics to the underlying topological order by measuring a nonzero topological entanglement entropy and studying its subsequent dynamics. Our results demonstrate the potential to explore exotic topologically ordered nonequilibrium phases of matter with noisy intermediate-scale quantum processors.
