Peijie Li

collaborators

2 papers

math.FA2026

Quantum Talagrand-type Inequalities via Variance Decay

Fan Chang, Peijie Li

We establish dimension-free quantum Talagrand-type inequalities with explicit constants on the quantum Boolean cube, via a unified variance-decay perspective. For individual observ…

cs.IT2025

Strengthening Han's Fourier Entropy-Influence Inequality via an Information-Theoretic Proof

Peijie Li, Guangyue Han

We strengthen Han's Fourier entropy-influence inequality $H [f] \leq C_{1} I (f) + C_{2} i \in [n] \sum I_{i} (f) ln \frac{1}{I _{i} ( f )}$ originally proved for ${- 1, 1}$ -va…