Quantum simulation of topological zero modes on a 41-qubit superconducting processor
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arXiv
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| Autori principali: | , , , , , , , , , , , , , , , , , , , , , , , |
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| Natura: | Preprint |
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2022
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| _version_ | 1866912528275079168 |
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| author | Shi, Yun-Hao Liu, Yu Zhang, Yu-Ran Xiang, Zhongcheng Huang, Kaixuan Liu, Tao Wang, Yong-Yi Zhang, Jia-Chi Deng, Cheng-Lin Liang, Gui-Han Mei, Zheng-Yang Li, Hao Li, Tian-Ming Ma, Wei-Guo Liu, Hao-Tian Chen, Chi-Tong Liu, Tong Tian, Ye Song, Xiaohui Zhao, S. P. Xu, Kai Zheng, Dongning Nori, Franco Fan, Heng |
| author_facet | Shi, Yun-Hao Liu, Yu Zhang, Yu-Ran Xiang, Zhongcheng Huang, Kaixuan Liu, Tao Wang, Yong-Yi Zhang, Jia-Chi Deng, Cheng-Lin Liang, Gui-Han Mei, Zheng-Yang Li, Hao Li, Tian-Ming Ma, Wei-Guo Liu, Hao-Tian Chen, Chi-Tong Liu, Tong Tian, Ye Song, Xiaohui Zhao, S. P. Xu, Kai Zheng, Dongning Nori, Franco Fan, Heng |
| contents | Quantum simulation of different exotic topological phases of quantum matter on a noisy intermediate-scale quantum (NISQ) processor is attracting growing interest. Here, we develop a one-dimensional 43-qubit superconducting quantum processor, named as Chuang-tzu, to simulate and characterize emergent topological states. By engineering diagonal Aubry-Andr$\acute{\mathrm{e}}$-Harper (AAH) models, we experimentally demonstrate the Hofstadter butterfly energy spectrum. Using Floquet engineering, we verify the existence of the topological zero modes in the commensurate off-diagonal AAH models, which have never been experimentally realized before. Remarkably, the qubit number over 40 in our quantum processor is large enough to capture the substantial topological features of a quantum system from its complex band structure, including Dirac points, the energy gap's closing, the difference between even and odd number of sites, and the distinction between edge and bulk states. Our results establish a versatile hybrid quantum simulation approach to exploring quantum topological systems in the NISQ era. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_05341 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quantum simulation of topological zero modes on a 41-qubit superconducting processor Shi, Yun-Hao Liu, Yu Zhang, Yu-Ran Xiang, Zhongcheng Huang, Kaixuan Liu, Tao Wang, Yong-Yi Zhang, Jia-Chi Deng, Cheng-Lin Liang, Gui-Han Mei, Zheng-Yang Li, Hao Li, Tian-Ming Ma, Wei-Guo Liu, Hao-Tian Chen, Chi-Tong Liu, Tong Tian, Ye Song, Xiaohui Zhao, S. P. Xu, Kai Zheng, Dongning Nori, Franco Fan, Heng Quantum Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Other Condensed Matter Statistical Mechanics Quantum simulation of different exotic topological phases of quantum matter on a noisy intermediate-scale quantum (NISQ) processor is attracting growing interest. Here, we develop a one-dimensional 43-qubit superconducting quantum processor, named as Chuang-tzu, to simulate and characterize emergent topological states. By engineering diagonal Aubry-Andr$\acute{\mathrm{e}}$-Harper (AAH) models, we experimentally demonstrate the Hofstadter butterfly energy spectrum. Using Floquet engineering, we verify the existence of the topological zero modes in the commensurate off-diagonal AAH models, which have never been experimentally realized before. Remarkably, the qubit number over 40 in our quantum processor is large enough to capture the substantial topological features of a quantum system from its complex band structure, including Dirac points, the energy gap's closing, the difference between even and odd number of sites, and the distinction between edge and bulk states. Our results establish a versatile hybrid quantum simulation approach to exploring quantum topological systems in the NISQ era. |
| title | Quantum simulation of topological zero modes on a 41-qubit superconducting processor |
| topic | Quantum Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Other Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2211.05341 |