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math.FA2026
The König constant is one
Xinyuan Xie, Haonan Zhang
For each , consider the normalized König bilinear form given by \[ B_{\mathrm K}(f,g):=\frac{1…
math.FA2024
Intertwining Curvature Bounds for Graphs and Quantum Markov Semigroups
Florentin Münch, Melchior Wirth, Haonan Zhang
Based on earlier work by Carlen-Maas and the second- and third-named author, we introduce the notion of intertwining curvature lower bounds for graphs and quantum Markov semigroups…
math.FA2022★ 3 cited
Quantum Talagrand, KKL and Friedgut's theorems and the learnability of quantum Boolean functions
Cambyse Rouzé, Melchior Wirth, Haonan Zhang
We extend three related results from the analysis of influences of Boolean functions to the quantum setting, namely the KKL Theorem, Friedgut's Junta Theorem and Talagrand's varian…