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Author

Yuxuan Liu

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Preprint Sep 2026

The planted tensor problem over finite fields: algorithms and cryptography

Inspired by the planted clique problem for random graphs, we introduce the planted totally-isotropic space problem for random tensors as follows. Let $U\cong \mathbb{F}_q^n$ and $W\cong \mathbb{F}_q^m$ be finite-dimensional vector spaces over a finite field $\mathbb{F}_q$. Given $d\in \mathbb{N}$, choose a random \(d\)...

Yuxuan Liu, You-Ming Qiao, Gang Tang et al. · 1 citation
Preprint Sep 2026

Verifiable quantum advantage based on polynomials with planted structures

A central question in the theory of quantum advantage is whether there are quantum advantage protocols with similar resource requirements as random circuit sampling that are also verifiable just from the classical outputs of the quantum computation. Here, we develop the idea of simulation secrets for verifiable advanta...

Markus Bläser, M. Gullans, Dominik Hangleiter et al. · 1 citation

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