Author

Junfeng Li

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Preprint Aug 2026

Entirely nonlocal quantum magic without entanglement

Nonstabilizerness, or magic, is an archetypal \emph{quantum} resource that is necessary for quantum computational advantage. Here we uncover a phenomenon seemingly at odds with the quantum nature of magic: entirely nonlocal magic (ENM)---magic present only in correlations and absent from each party's marginal---can liv...

Fu-Chuan Wei, Rui-Xia Wang, Yujia Zhang et al. · 4 citations

Preprint Jul 2026

A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1}

Let $\Omega(n)$ denote the number of prime factors of $n$, counted with multiplicity, and put $P_2$={$m$ $\ge$ 1:$\Omega(m)$ $\le$ 2}. We prove that the sumset $P_2$+{$a^a$: a$\ge$ 1} has positive lower density. The proof uses the Romanoff second moment method, in the spirit of Li and Pan's theorem on $P_2$+$2^{\mathca...

Yuchen Ding, Huixi Li, Junfeng Li · 0 citations