Yan Huang

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20222026

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quant-ph2024

Order-six CHMs containing exactly three distinct elements

Yanzu Huang, Mengfan Liang, Lin Chen

Complex Hadamard matrices (CHMs) are intimately related to the number of distinct matrix elements. We investigate CHMs containing exactly three distinct elements, which is also the…

math.DS2024

Approximation properties of the intermediate $β$ -expansions

Karma Dajani, Yan Huang

Given $β > 1$ and $α \in [0, 1)$ , let $T_{β, α} (x) = β x + α (mod 1)$ . Then under the map $T_{β, α}$ each $x \in [0, 1]$ has an \emph{intermediate $β$ -expansion} of the form $x=\sum_{i=1}^\infty\…

Order-six CHMs containing exactly three distinct elements

Approximation properties of the intermediate β-expansions

Approximation properties of the intermediate $β$ -expansions