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Y.-M. Du

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Preprint Aug 2026

Universal Scaling of the Minimum Error Probability in Qualification of Quantum States

Qualification of quantum states judges which of two sets of quantum states an unknown state lies in, where the two sets are labeled by two distinct parameter regions. We formulate this problem as a composite quantum hypothesis test and uncover universal scaling laws for the minimum error probability for $N$ copies. Tak...

Zhaoyu Fei, Yaotian Li, Weicheng Huang et al. · 0 citations
Preprint Aug 2026

Ensemble-level loopy message passing with generalized-edge closure for percolation

Predicting the percolation threshold of highly clustered networks from local statistics remains difficult, because short loops break the independence assumption underlying tree-like message passing. Existing remedies address loopy connectivity either through prescribed local motifs in random-graph ensembles or through...

L.-H. Wang, Y.-M. Du · 0 citations

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