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Yu-Han Liu

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Preprint Sep 2026

Finiteness of the Chow ring of $\mathcal{M}_{5,10}$

In this paper, we prove that the rational Chow ring $A^*(\mathcal{M}_{5,10})$ is finitely generated as a $\mathbb{Q}$-algebra.

Yu-Han Liu · 0 citations
Preprint Aug 2026

Structure of matrix product locally purifiable density operators

Tensor network methods provide powerful analytical and numerical tools for characterizing quantum phases of matter. While the mathematical structure of matrix product states (MPS) is well understood through the MPS fundamental theorem, an analogous understanding for mixed-state tensor networks remains largely absent: i...

Yale Yauk, Yuhan Liu, Ignacio Cirac · 0 citations

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