Bibliographic Details
| Title: |
Quantum KKL-type Inequalities Revisited |
| Authors: |
Jiao, Yong, Lin, Wenlong, Luo, Sijie, Zhou, Dejian |
| Publication Year: |
2024 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Functional Analysis, Primary 46L53, Secondary 94D10, 47D07 |
| More Details: |
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 Rouz\'e 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}. |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2411.12399 |
| Accession Number: |
edsarx.2411.12399 |
| Database: |
arXiv |
