Optimal bounds in the positivity of a matrix from a few moments.

Gemma De las Cuevas, Tobias Fritz and Tim Netzer. Comm. Math. Phys. 375, 105 (2020). arXiv:1808.09643

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Mixed states in one spatial dimension: decompositions and correspondence with nonnegative matrices.

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Tensor decompositions on simplicial complexes with invariance.