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.
Authors 26
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Leiden University · Tsinghua University
Affiliation as printed
Center for Quantum Information , IIIS , Tsinghua University , Beijing 100084 , China
Instituut-Lorentz , Universiteit Leiden , P.O. Box 9506 , 2300 RA Leiden , The Netherlands
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Shanghai Qi Zhi Institute , Shanghai 200232 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
ZJU-Hangzhou Global Scientific and Technological Innovation Center , Hangzhou 310027 , China
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Affiliation as printed
ZJU-Hangzhou Global Scientific and Technological Innovation Center , Hangzhou 310027 , China
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Affiliation as printed
ZJU-Hangzhou Global Scientific and Technological Innovation Center , Hangzhou 310027 , China
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Affiliation as printed
Hefei National Laboratory , Hefei 230088 , China
Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control , School of Physics , Zhejiang University , Hangzhou 310027 , China
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Affiliation as printed
Instituut-Lorentz , Universiteit Leiden , P.O. Box 9506 , 2300 RA Leiden , The Netherlands
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Affiliation as printed
Instituut-Lorentz , Universiteit Leiden , P.O. Box 9506 , 2300 RA Leiden , The Netherlands
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