Quantum KKL-type Inequalities Revisited
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909395690979328 |
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| author | Jiao, Yong Lin, Wenlong Luo, Sijie Zhou, Dejian |
| author_facet | Jiao, Yong Lin, Wenlong Luo, Sijie Zhou, Dejian |
| contents | In the present paper, we develop the random restriction method in the quantum framework. By applying this method, we establish the quantum Eldan-Gross inequality, the quantum Talagrand isoperimetric inequality, and related quantum KKL-type inequalities. Our results recover some recent results of Rouzé et al. \cite{RWZ2024} and Jiao et al. \cite{JLZ2025}, which can be viewed as alternative answers to the quantum KKL conjecture proposed by Motanaro and Osborne in \cite{MO2010}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12399 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum KKL-type Inequalities Revisited Jiao, Yong Lin, Wenlong Luo, Sijie Zhou, Dejian Functional Analysis Primary 46L53, Secondary 94D10, 47D07 In the present paper, we develop the random restriction method in the quantum framework. By applying this method, we establish the quantum Eldan-Gross inequality, the quantum Talagrand isoperimetric inequality, and related quantum KKL-type inequalities. Our results recover some recent results of Rouzé et al. \cite{RWZ2024} and Jiao et al. \cite{JLZ2025}, which can be viewed as alternative answers to the quantum KKL conjecture proposed by Motanaro and Osborne in \cite{MO2010}. |
| title | Quantum KKL-type Inequalities Revisited |
| topic | Functional Analysis Primary 46L53, Secondary 94D10, 47D07 |
| url | https://arxiv.org/abs/2411.12399 |