Conditions for Quantum Violation of Macrorealism in Large-spin Limit
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908678070730752 |
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| author | Cai, Qi-Hong Yu, Xue-Hao Yang, Ma-Cheng Liu, Ao-Xiang Qiao, Cong-Feng |
| author_facet | Cai, Qi-Hong Yu, Xue-Hao Yang, Ma-Cheng Liu, Ao-Xiang Qiao, Cong-Feng |
| contents | This study investigates the emergence of macroscopic classical behavior from quantum foundations via the entropic Leggett--Garg inequality. We introduce a geometric framework for deriving entropic Leggett--Garg inequalities with higher-order temporal correlations and demonstrate their advantages over conventional formulations. Numerical analyses show that entropic Leggett--Garg inequalities offer a robust and complementary criterion to standard approaches, providing a transparent information theoretic interpretation that facilitates the characterization of coherent quantum processes. By applying the WKB approximation, we prove that violations for maximally mixed states remain bounded by a constant in the macroscopic limit, indicating that macrorealism dominates in generic parameter regimes. We further explain previously reported maximal violations at specific parameter regimes as a consequence of the breakdown of the WKB approximation. Our findings indicate that quantum and classical descriptions remain macroscopically incompatible, while violations persist only in fine-tuned regimes, clarifying the conditions for detecting macroscopic quantum phenomena. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_13162 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conditions for Quantum Violation of Macrorealism in Large-spin Limit Cai, Qi-Hong Yu, Xue-Hao Yang, Ma-Cheng Liu, Ao-Xiang Qiao, Cong-Feng Quantum Physics High Energy Physics - Phenomenology This study investigates the emergence of macroscopic classical behavior from quantum foundations via the entropic Leggett--Garg inequality. We introduce a geometric framework for deriving entropic Leggett--Garg inequalities with higher-order temporal correlations and demonstrate their advantages over conventional formulations. Numerical analyses show that entropic Leggett--Garg inequalities offer a robust and complementary criterion to standard approaches, providing a transparent information theoretic interpretation that facilitates the characterization of coherent quantum processes. By applying the WKB approximation, we prove that violations for maximally mixed states remain bounded by a constant in the macroscopic limit, indicating that macrorealism dominates in generic parameter regimes. We further explain previously reported maximal violations at specific parameter regimes as a consequence of the breakdown of the WKB approximation. Our findings indicate that quantum and classical descriptions remain macroscopically incompatible, while violations persist only in fine-tuned regimes, clarifying the conditions for detecting macroscopic quantum phenomena. |
| title | Conditions for Quantum Violation of Macrorealism in Large-spin Limit |
| topic | Quantum Physics High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2505.13162 |