Improved Nonlocality Certification via Bouncing between Bell Operators and Inequalities
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arXiv
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| Auteurs principaux: | , , , , , , , , , , , , , , , , , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913434369523712 |
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| author | Li, Weikang Hu, Mengyao Wang, Ke Xu, Shibo Lu, Zhide Chen, Jiachen Wu, Yaozu Zhang, Chuanyu Jin, Feitong Zhu, Xuhao Gao, Yu Cui, Zhengyi Zhang, Aosai Wang, Ning Zou, Yiren Shen, Fanhao Zhong, Jiarun Bao, Zehang Zhu, Zitian Zhang, Pengfei Li, Hekang Guo, Qiujiang Wang, Zhen Deng, Dong-Ling Song, Chao Wang, H. Emonts, Patrick Tura, Jordi |
| author_facet | Li, Weikang Hu, Mengyao Wang, Ke Xu, Shibo Lu, Zhide Chen, Jiachen Wu, Yaozu Zhang, Chuanyu Jin, Feitong Zhu, Xuhao Gao, Yu Cui, Zhengyi Zhang, Aosai Wang, Ning Zou, Yiren Shen, Fanhao Zhong, Jiarun Bao, Zehang Zhu, Zitian Zhang, Pengfei Li, Hekang Guo, Qiujiang Wang, Zhen Deng, Dong-Ling Song, Chao Wang, H. Emonts, Patrick Tura, Jordi |
| contents | Bell nonlocality is an intrinsic feature of quantum mechanics, which can be certified via the violation of Bell inequalities. It is therefore a fundamental question to certify Bell nonlocality from experimental data. Here, we present an optimization scheme to improve nonlocality certification by exploring flexible mappings between Bell inequalities and Hamiltonians corresponding to the Bell operators. We show that several Hamiltonian models can be mapped to new inequalities with improved classical bounds than the original one, enabling a more robust detection of nonlocality. From the other direction, we investigate the mapping from fixed Bell inequalities to Hamiltonians, aiming to maximize quantum violations while considering experimental imperfections. As a practical demonstration, we apply this method to an XXZ-like honeycomb-lattice model utilizing over 70 superconducting qubits. The successful application of this technique, as well as combining the two directions to form an optimization loop, may open new avenues for developing more practical and noise-resilient nonlocality certification techniques and enable broader experimental explorations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12347 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Improved Nonlocality Certification via Bouncing between Bell Operators and Inequalities Li, Weikang Hu, Mengyao Wang, Ke Xu, Shibo Lu, Zhide Chen, Jiachen Wu, Yaozu Zhang, Chuanyu Jin, Feitong Zhu, Xuhao Gao, Yu Cui, Zhengyi Zhang, Aosai Wang, Ning Zou, Yiren Shen, Fanhao Zhong, Jiarun Bao, Zehang Zhu, Zitian Zhang, Pengfei Li, Hekang Guo, Qiujiang Wang, Zhen Deng, Dong-Ling Song, Chao Wang, H. Emonts, Patrick Tura, Jordi Quantum Physics Bell nonlocality is an intrinsic feature of quantum mechanics, which can be certified via the violation of Bell inequalities. It is therefore a fundamental question to certify Bell nonlocality from experimental data. Here, we present an optimization scheme to improve nonlocality certification by exploring flexible mappings between Bell inequalities and Hamiltonians corresponding to the Bell operators. We show that several Hamiltonian models can be mapped to new inequalities with improved classical bounds than the original one, enabling a more robust detection of nonlocality. From the other direction, we investigate the mapping from fixed Bell inequalities to Hamiltonians, aiming to maximize quantum violations while considering experimental imperfections. As a practical demonstration, we apply this method to an XXZ-like honeycomb-lattice model utilizing over 70 superconducting qubits. The successful application of this technique, as well as combining the two directions to form an optimization loop, may open new avenues for developing more practical and noise-resilient nonlocality certification techniques and enable broader experimental explorations. |
| title | Improved Nonlocality Certification via Bouncing between Bell Operators and Inequalities |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.12347 |