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Main Authors:	Jiang, Tao, Cai, Jianbin, Huang, Junxiang, Zhou, Naibin, Zhang, Yukun, Bei, Jiahao, Cai, Guoqing, Cao, Sirui, Chen, Fusheng, Chen, Jiang, Chen, Kefu, Chen, Xiawei, Chen, Xiqing, Chen, Zhe, Chen, Zhiyuan, Chen, Zihua, Chu, Wenhao, Deng, Hui, Deng, Zhibin, Ding, Pei, Ding, Xun, Ding, Zhuzhengqi, Dong, Shuai, Fan, Bo, Fan, Daojin, Fu, Yuanhao, Gao, Dongxin, Ge, Lei, Gui, Jiacheng, Guo, Cheng, Guo, Shaojun, Guo, Xiaoyang, Han, Lianchen, He, Tan, Hong, Linyin, Hu, Yisen, Huang, He-Liang, Huo, Yong-Heng, Jiang, Zuokai, Jin, Honghong, Leng, Yunxiang, Li, Dayu, Li, Dongdong, Li, Fangyu, Li, Jiaqi, Li, Jinjin, Li, Junyan, Li, Junyun, Li, Na, Li, Shaowei, Li, Wei, Li, Yuhuai, Li, Yuan, Liang, Futian, Liang, Xuelian, Liao, Nanxing, Lin, Jin, Lin, Weiping, Liu, Dailin, Liu, Hongxiu, Liu, Maliang, Liu, Xinyu, Liu, Xuemeng, Liu, Yancheng, Lou, Haoxin, Ma, Yuwei, Meng, Lingxin, Mou, Hao, Nan, Kailiang, Nie, Binghan, Nie, Meijuan, Ning, Jie, Niu, Le, Peng, Wenyi, Qian, Haoran, Rong, Hao, Rong, Tao, Shen, Huiyan, Shen, Qiong, Su, Hong, Su, Feifan, Sun, Chenyin, Sun, Liangchao, Sun, Tianzuo, Sun, Yingxiu, Tan, Yimeng, Tan, Jun, Tang, Longyue, Tu, Wenbing, Wang, Jiafei, Wang, Biao, Wang, Chang, Wang, Chen, Wang, Chu, Wang, Jian, Wang, Liangyuan, Wang, Rui, Wang, Shengtao, Wang, Xiaomin, Wang, Xinzhe, Wang, Xunxun, Wang, Yeru, Wei, Zuolin, Wei, Jiazhou, Wu, Dachao, Wu, Gang, Wu, Jin, Wu, Yulin, Xie, Shiyong, Xin, Lianjie, Xu, Yu, Xue, Chun, Yan, Kai, Yang, Weifeng, Yang, Xinpeng, Yang, Yang, Ye, Yangsen, Ye, Zhenping, Ying, Chong, Yu, Jiale, Yu, Qinjing, Yu, Wenhu, Zeng, Xiangdong, Zha, Chen, Zhan, Shaoyu, Zhang, Feifei, Zhang, Haibin, Zhang, Kaili, Zhang, Wen, Zhang, Yiming, Zhang, Yongzhuo, Zhang, Lixiang, Zhao, Guming, Zhao, Peng, Zhao, Xintao, Zhao, Youwei, Zhao, Zhong, Zheng, Luyuan, Zhou, Fei, Zhou, Liang, Zhou, Na, Zhou, Shifeng, Zhou, Shuang, Zhou, Zhengxiao, Zhu, Chengjun, Zhu, Qingling, Zou, Guihong, Zou, Haonan, Zhang, Qiang, Lu, Chao-Yang, Peng, Cheng-Zhi, Yuan, Xiao, Gong, Ming, Zhu, Xiaobo, Pan, Jian-Wei
Format:	Preprint
Published:	2025
Subjects:	Quantum Physics
Online Access:	https://arxiv.org/abs/2505.01978
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_version_	1866911563936432128
author	Jiang, Tao Cai, Jianbin Huang, Junxiang Zhou, Naibin Zhang, Yukun Bei, Jiahao Cai, Guoqing Cao, Sirui Chen, Fusheng Chen, Jiang Chen, Kefu Chen, Xiawei Chen, Xiqing Chen, Zhe Chen, Zhiyuan Chen, Zihua Chu, Wenhao Deng, Hui Deng, Zhibin Ding, Pei Ding, Xun Ding, Zhuzhengqi Dong, Shuai Fan, Bo Fan, Daojin Fu, Yuanhao Gao, Dongxin Ge, Lei Gui, Jiacheng Guo, Cheng Guo, Shaojun Guo, Xiaoyang Han, Lianchen He, Tan Hong, Linyin Hu, Yisen Huang, He-Liang Huo, Yong-Heng Jiang, Zuokai Jin, Honghong Leng, Yunxiang Li, Dayu Li, Dongdong Li, Fangyu Li, Jiaqi Li, Jinjin Li, Junyan Li, Junyun Li, Na Li, Shaowei Li, Wei Li, Yuhuai Li, Yuan Liang, Futian Liang, Xuelian Liao, Nanxing Lin, Jin Lin, Weiping Liu, Dailin Liu, Hongxiu Liu, Maliang Liu, Xinyu Liu, Xuemeng Liu, Yancheng Lou, Haoxin Ma, Yuwei Meng, Lingxin Mou, Hao Nan, Kailiang Nie, Binghan Nie, Meijuan Ning, Jie Niu, Le Peng, Wenyi Qian, Haoran Rong, Hao Rong, Tao Shen, Huiyan Shen, Qiong Su, Hong Su, Feifan Sun, Chenyin Sun, Liangchao Sun, Tianzuo Sun, Yingxiu Tan, Yimeng Tan, Jun Tang, Longyue Tu, Wenbing Wang, Jiafei Wang, Biao Wang, Chang Wang, Chen Wang, Chu Wang, Jian Wang, Liangyuan Wang, Rui Wang, Shengtao Wang, Xiaomin Wang, Xinzhe Wang, Xunxun Wang, Yeru Wei, Zuolin Wei, Jiazhou Wu, Dachao Wu, Gang Wu, Jin Wu, Yulin Xie, Shiyong Xin, Lianjie Xu, Yu Xue, Chun Yan, Kai Yang, Weifeng Yang, Xinpeng Yang, Yang Ye, Yangsen Ye, Zhenping Ying, Chong Yu, Jiale Yu, Qinjing Yu, Wenhu Zeng, Xiangdong Zha, Chen Zhan, Shaoyu Zhang, Feifei Zhang, Haibin Zhang, Kaili Zhang, Wen Zhang, Yiming Zhang, Yongzhuo Zhang, Lixiang Zhao, Guming Zhao, Peng Zhao, Xintao Zhao, Youwei Zhao, Zhong Zheng, Luyuan Zhou, Fei Zhou, Liang Zhou, Na Zhou, Shifeng Zhou, Shuang Zhou, Zhengxiao Zhu, Chengjun Zhu, Qingling Zou, Guihong Zou, Haonan Zhang, Qiang Lu, Chao-Yang Peng, Cheng-Zhi Yuan, Xiao Gong, Ming Zhu, Xiaobo Pan, Jian-Wei
author_facet	Jiang, Tao Cai, Jianbin Huang, Junxiang Zhou, Naibin Zhang, Yukun Bei, Jiahao Cai, Guoqing Cao, Sirui Chen, Fusheng Chen, Jiang Chen, Kefu Chen, Xiawei Chen, Xiqing Chen, Zhe Chen, Zhiyuan Chen, Zihua Chu, Wenhao Deng, Hui Deng, Zhibin Ding, Pei Ding, Xun Ding, Zhuzhengqi Dong, Shuai Fan, Bo Fan, Daojin Fu, Yuanhao Gao, Dongxin Ge, Lei Gui, Jiacheng Guo, Cheng Guo, Shaojun Guo, Xiaoyang Han, Lianchen He, Tan Hong, Linyin Hu, Yisen Huang, He-Liang Huo, Yong-Heng Jiang, Zuokai Jin, Honghong Leng, Yunxiang Li, Dayu Li, Dongdong Li, Fangyu Li, Jiaqi Li, Jinjin Li, Junyan Li, Junyun Li, Na Li, Shaowei Li, Wei Li, Yuhuai Li, Yuan Liang, Futian Liang, Xuelian Liao, Nanxing Lin, Jin Lin, Weiping Liu, Dailin Liu, Hongxiu Liu, Maliang Liu, Xinyu Liu, Xuemeng Liu, Yancheng Lou, Haoxin Ma, Yuwei Meng, Lingxin Mou, Hao Nan, Kailiang Nie, Binghan Nie, Meijuan Ning, Jie Niu, Le Peng, Wenyi Qian, Haoran Rong, Hao Rong, Tao Shen, Huiyan Shen, Qiong Su, Hong Su, Feifan Sun, Chenyin Sun, Liangchao Sun, Tianzuo Sun, Yingxiu Tan, Yimeng Tan, Jun Tang, Longyue Tu, Wenbing Wang, Jiafei Wang, Biao Wang, Chang Wang, Chen Wang, Chu Wang, Jian Wang, Liangyuan Wang, Rui Wang, Shengtao Wang, Xiaomin Wang, Xinzhe Wang, Xunxun Wang, Yeru Wei, Zuolin Wei, Jiazhou Wu, Dachao Wu, Gang Wu, Jin Wu, Yulin Xie, Shiyong Xin, Lianjie Xu, Yu Xue, Chun Yan, Kai Yang, Weifeng Yang, Xinpeng Yang, Yang Ye, Yangsen Ye, Zhenping Ying, Chong Yu, Jiale Yu, Qinjing Yu, Wenhu Zeng, Xiangdong Zha, Chen Zhan, Shaoyu Zhang, Feifei Zhang, Haibin Zhang, Kaili Zhang, Wen Zhang, Yiming Zhang, Yongzhuo Zhang, Lixiang Zhao, Guming Zhao, Peng Zhao, Xintao Zhao, Youwei Zhao, Zhong Zheng, Luyuan Zhou, Fei Zhou, Liang Zhou, Na Zhou, Shifeng Zhou, Shuang Zhou, Zhengxiao Zhu, Chengjun Zhu, Qingling Zou, Guihong Zou, Haonan Zhang, Qiang Lu, Chao-Yang Peng, Cheng-Zhi Yuan, Xiao Gong, Ming Zhu, Xiaobo Pan, Jian-Wei
contents	Symmetry-protected topological (SPT) phases are fundamental features of cluster states, serving as key resources for measurement-based quantum computation (MBQC). Generating large-scale cluster states and verifying their SPT phases are essential steps toward practical MBQC, which however still presents significant experimental challenges. In this work, we address these challenges by utilizing advanced superconducting hardware with optimized gate operations, enhanced readout fidelity, and error mitigation techniques. We successfully generate and verify 95-qubit one-dimensional and 72-qubit two-dimensional genuine entangled cluster states, achieving fidelities of $0.5603 \pm 0.0084$ and $0.5519 \pm 0.0054$, respectively. Leveraging these high-fidelity cluster states, we investigate SPT phases through quantum teleportation across all 95 qubits and demonstrate input-state-dependent robustness against symmetry-breaking perturbations, highlighting the practicality and intrinsic robustness of MBQC enabled by the SPT order. Our results represent a significant advancement in large-scale entanglement generation and topological phase simulation, laying the foundation for scalable and practical MBQC using superconducting quantum systems.
format	Preprint
id	arxiv_https___arxiv_org_abs_2505_01978
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Generation of 95-qubit genuine entanglement and verification of symmetry-protected topological phases Jiang, Tao Cai, Jianbin Huang, Junxiang Zhou, Naibin Zhang, Yukun Bei, Jiahao Cai, Guoqing Cao, Sirui Chen, Fusheng Chen, Jiang Chen, Kefu Chen, Xiawei Chen, Xiqing Chen, Zhe Chen, Zhiyuan Chen, Zihua Chu, Wenhao Deng, Hui Deng, Zhibin Ding, Pei Ding, Xun Ding, Zhuzhengqi Dong, Shuai Fan, Bo Fan, Daojin Fu, Yuanhao Gao, Dongxin Ge, Lei Gui, Jiacheng Guo, Cheng Guo, Shaojun Guo, Xiaoyang Han, Lianchen He, Tan Hong, Linyin Hu, Yisen Huang, He-Liang Huo, Yong-Heng Jiang, Zuokai Jin, Honghong Leng, Yunxiang Li, Dayu Li, Dongdong Li, Fangyu Li, Jiaqi Li, Jinjin Li, Junyan Li, Junyun Li, Na Li, Shaowei Li, Wei Li, Yuhuai Li, Yuan Liang, Futian Liang, Xuelian Liao, Nanxing Lin, Jin Lin, Weiping Liu, Dailin Liu, Hongxiu Liu, Maliang Liu, Xinyu Liu, Xuemeng Liu, Yancheng Lou, Haoxin Ma, Yuwei Meng, Lingxin Mou, Hao Nan, Kailiang Nie, Binghan Nie, Meijuan Ning, Jie Niu, Le Peng, Wenyi Qian, Haoran Rong, Hao Rong, Tao Shen, Huiyan Shen, Qiong Su, Hong Su, Feifan Sun, Chenyin Sun, Liangchao Sun, Tianzuo Sun, Yingxiu Tan, Yimeng Tan, Jun Tang, Longyue Tu, Wenbing Wang, Jiafei Wang, Biao Wang, Chang Wang, Chen Wang, Chu Wang, Jian Wang, Liangyuan Wang, Rui Wang, Shengtao Wang, Xiaomin Wang, Xinzhe Wang, Xunxun Wang, Yeru Wei, Zuolin Wei, Jiazhou Wu, Dachao Wu, Gang Wu, Jin Wu, Yulin Xie, Shiyong Xin, Lianjie Xu, Yu Xue, Chun Yan, Kai Yang, Weifeng Yang, Xinpeng Yang, Yang Ye, Yangsen Ye, Zhenping Ying, Chong Yu, Jiale Yu, Qinjing Yu, Wenhu Zeng, Xiangdong Zha, Chen Zhan, Shaoyu Zhang, Feifei Zhang, Haibin Zhang, Kaili Zhang, Wen Zhang, Yiming Zhang, Yongzhuo Zhang, Lixiang Zhao, Guming Zhao, Peng Zhao, Xintao Zhao, Youwei Zhao, Zhong Zheng, Luyuan Zhou, Fei Zhou, Liang Zhou, Na Zhou, Shifeng Zhou, Shuang Zhou, Zhengxiao Zhu, Chengjun Zhu, Qingling Zou, Guihong Zou, Haonan Zhang, Qiang Lu, Chao-Yang Peng, Cheng-Zhi Yuan, Xiao Gong, Ming Zhu, Xiaobo Pan, Jian-Wei Quantum Physics Symmetry-protected topological (SPT) phases are fundamental features of cluster states, serving as key resources for measurement-based quantum computation (MBQC). Generating large-scale cluster states and verifying their SPT phases are essential steps toward practical MBQC, which however still presents significant experimental challenges. In this work, we address these challenges by utilizing advanced superconducting hardware with optimized gate operations, enhanced readout fidelity, and error mitigation techniques. We successfully generate and verify 95-qubit one-dimensional and 72-qubit two-dimensional genuine entangled cluster states, achieving fidelities of $0.5603 \pm 0.0084$ and $0.5519 \pm 0.0054$, respectively. Leveraging these high-fidelity cluster states, we investigate SPT phases through quantum teleportation across all 95 qubits and demonstrate input-state-dependent robustness against symmetry-breaking perturbations, highlighting the practicality and intrinsic robustness of MBQC enabled by the SPT order. Our results represent a significant advancement in large-scale entanglement generation and topological phase simulation, laying the foundation for scalable and practical MBQC using superconducting quantum systems.
title	Generation of 95-qubit genuine entanglement and verification of symmetry-protected topological phases
topic	Quantum Physics
url	https://arxiv.org/abs/2505.01978

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