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Preprint Oct 2026

Vanishing Moment Dilations and Applications to Balanced and Graph Frames

Given a matrix $A\in M_{k\times N}(\Bbb{F}),$ we examine finite frames $\{f_j\}_{j=1}^N$ with vanishing $A$-moments and investigate their connections with the frame dilation property. We establish several equivalent characterizations for the existence of vanishing $A-$moment dilations, including conditions involving du...

De-Guang Han, Shankhadeep Mondal, Kai Liu et al. · 0 citations
Review Aug 2026

Frame phase retrievability and state distinguishability of quantum channels

This survey introduces the role of frame phase retrieval in pure-state identification and information preservation by quantum channels. For unit vectors, the lift $x\mapsto xx^*$ identifies vectors that differ only by a global phase with the same rank-one quantum state, converts frame intensities into linear functional...

Deguang Han, Kai Liu · 0 citations

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