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Preprint Sep 2026

Fanout Complexity of Symmetric Boolean Functions in $\mathsf{QAC}^0$

Whether $\mathsf{QAC}^0$ can compute $\mathtt{PARITY}_n$ remains open. Computing $\mathtt{PARITY}_n$ is equivalent to implementing $\mathtt{FANOUT}_n$ under $\mathsf{QAC}^0$ reductions. This raises a more general question: for an arbitrary symmetric Boolean function $f:\{0,1\}^n\to\{0,1\}$, what fanout size is necessar...

Bo-Ya Xu, Lvzhou Li · 0 citations
Preprint Jul 2026

Agnostic learning of qudit stabilizer states

This paper successfully generalizes the stabilizer bootstrapping framework to qudit systems and presents the first efficient quantum algorithm for agnostic learning of qudit stabilizer states, enabling efficient estimation of the magic of a quantum state, as quantified by its stabilizer fidelity.

Wen-Tao Qi, Bo-Ya Xu, Shiguang Feng et al. · 1 citation

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