Improved Nonlocality Certification via Bouncing between Bell Operators and Inequalities
Abstract
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.
Cite
@article{arxiv.2407.12347,
title = {Improved Nonlocality Certification via Bouncing between Bell Operators and Inequalities},
author = {Weikang Li and Mengyao Hu and Ke Wang and Shibo Xu and Zhide Lu and Jiachen Chen and Yaozu Wu and Chuanyu Zhang and Feitong Jin and Xuhao Zhu and Yu Gao and Zhengyi Cui and Aosai Zhang and Ning Wang and Yiren Zou and Fanhao Shen and Jiarun Zhong and Zehang Bao and Zitian Zhu and Pengfei Zhang and Hekang Li and Qiujiang Guo and Zhen Wang and Dong-Ling Deng and Chao Song and H. Wang and Patrick Emonts and Jordi Tura},
journal= {arXiv preprint arXiv:2407.12347},
year = {2024}
}
Comments
11 pages, 5 figures, 1 table