2 papers
quant-ph2026
The Quantum KKL Inequality
Yong Jiao, Wenlong Lin, Sijie Luo +1
In this paper, we resolve the quantum KKL conjecture of Montanaro and Osborne \cite{MO2010} for quantum Boolean functions on the -qubit hypercube. More precisely, for every self…
math.FA2024
Quantum KKL-type Inequalities Revisited
Yong Jiao, Wenlong Lin, Sijie Luo +1
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 Talag…