Author

Wen-Long Lin

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Preprint Sep 2026

The Quantum KKL Inequality

In this paper, we resolve the quantum KKL conjecture of Montanaro and Osborne \cite{MO2010} for quantum Boolean functions on the $n$-qubit hypercube. More precisely, for every self-adjoint unitary $T$, we bound the largest $L_2$-influence from below by a constant multiple of $\mathrm{Var}(T)\log(n)/n$. The proof heavil...

Yong Jiao, Wen-Long Lin, Si-Jie Luo et al. · 0 citations