Exact results show U(1) symmetry substantially suppresses non-stabilizerness in random states, with different leading scaling from entanglement near zero charge density.
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UNVERDICTED 2representative citing papers
PCA suggested clustering in fossil teeth data on a nonlinear manifold, but t-SNE and persistent homology show a ring structure with no clustering, supported by a unit-circle generative model whose arcsine distance distribution matches observations qualitatively.
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Non-stabilizerness and U(1) symmetry in chaotic many-body quantum systems
Exact results show U(1) symmetry substantially suppresses non-stabilizerness in random states, with different leading scaling from entanglement near zero charge density.
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Beyond Explained Variance: A Cautionary Tale of PCA
PCA suggested clustering in fossil teeth data on a nonlinear manifold, but t-SNE and persistent homology show a ring structure with no clustering, supported by a unit-circle generative model whose arcsine distance distribution matches observations qualitatively.