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arXiv · 2511.13179

Linear independence of quantum translates

Mansi Mishra
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Abstract

If $A$ is in the $p$-Schatten class on $\mathbb{R}^n$, $1\leq p \leq \frac{4n}{2n-1}$, then the quantum translates of $A$ are linearly independent. Moreover, there exists a non-zero operator in the $p$-Schatten class on $\mathbb{R}^n$, $p>\frac{4n}{2n-1}$ whose quantum translates are linearly dependent.

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Mansi Mishra. 2025-11-17. Linear independence of quantum translates. https://arxiv.org/abs/2511.13179

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